Sport As A Behavioral Economics Lab: Chan, Ho Fai Savage, David Torgler, Benno
Sport As A Behavioral Economics Lab: Chan, Ho Fai Savage, David Torgler, Benno
Working Paper
Sport as a behavioral economics lab
Suggested Citation: Chan, Ho Fai; Savage, David; Torgler, Benno (2021) : Sport as a behavioral
economics lab, CREMA Working Paper, No. 2021-20, Center for Research in Economics,
Management and the Arts (CREMA), Zürich
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Sport as a Behavioral Economics Lab
René L. Frey
Contribution prepared for the forthcoming book: Hannah J. R. Altman, Morris Altman, and
Benno Torgler (Eds.) (2021). Behavioural Sports Economics. New York: Routledge
ABSTRACT
Sporting events can be seen as controlled, real-world, miniature laboratory environments, approaching
the idea of “holding other things equal” when exploring the implications of decisions, incentives, and
constraints in a competitive setting (Goff and Tollison 1990, Torgler 2009). Thus, a growing number
of studies have used sports data to study decision making questions that have guided behavioural
economics literature. Creative application of sports data can offer insights into behavioural aspects
with implications beyond just sports. In this chapter, we will discuss the methodological advantages of
seeing sport as a behavioural economics lab, concentrating on the settings, concepts, biases, and
challenging areas. Beyond that, we will discuss questions that have not yet been analysed, offering
ideas for future studies using sports data. We will further reflect on how AI has evolved; focusing, for
example, on chess, which provides insights into the mechanism and machinery of decision-making.
For helpful comments and suggestions thanks are due to the Jillian Cortese and Alison Macintyre.
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Introduction
Sports economics, or the study of sport using economic theory, has been with us for some time
and has generated interesting insights into several different topics. Of course, one principle that
sits behind all this analysis is the methodology or approach through which we try and apply
our thinking to sports data. The behavioural economics revolution of recent years has given
economists an additional lens through which they can examine the world around them – this is
no different for the analysis of sports data. We have seen an increase in the number of papers
that have utilised sports data to gain insight or understanding into individual, group, or other
types of behaviour. We have used economics to explore sports data and aspects of the real-
world that are often very difficult to access or observe, such as performance and incentives.
These aspects are much easier to study in the world of sports, as sport data is all-encompassing
and available in almost every type of sport. To discuss how behavioural economics influenced
research with sports data, we will first discuss setting conditions that provide insights to the
advantage of sports data. Next, we will discuss a set of concepts that have been explored or are
worth exploring in more detail. These concepts were chosen ad hoc and therefore are not a
complete list of valuable concepts. Moreover, as the list is relatively substantial, we do not
provide a full list of available studies, but rather a set of studies that clarify the area of
exploration and those where we see further possibilities and avenues. We therefore apologize
in advance if some scholars feel that their work should have been mentioned under these
concepts. This process was like wandering through a field of gems with only a small bag in
which to collect them – you obviously cannot collect them all, nor could you even be sure of
total gems available in the field. We cherrypicked the gems that we felt best represented the
discussion we were trying to build. We finish the article by discussing some areas that have
linking behavioural economics with AI, which will become a more dominant area in the future
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(Schmidt 2020, Torgler 2020). Looking at chess, for example, provides insights into the
mechanism and machinery of decision-making and how such mechanisms can be programmed
to derive more realistic cognitive architectures (Torgler 2021a). We will clarify why past
insights are valuable from a behavioural economics perspective, and what we can expect in
Settings
In this section we will identify interesting settings that allow us to understand how sports can
be seen as a “real-world laboratory” (Goff and Tollison 1990, Torgler 2009, Kahn 2000) where
we can test behavioural questions in a relatively controlled high-stakes environment, and where
information is transparently available for outsiders to explore (rather than hidden as is often
the case in the labour market). However, as controllability is influenced by and subject to
Rule Changes
With game rule changes, we are approaching conditions of a natural experiment (Chan, Savage,
and Torgler 2019); accordingly, scholars have focused on those rule changes since almost the
beginning of sports economics. A frequent example that appears in the literature examines how
changes in the number of referees (change in enforcement ability) affect players’ behaviour in
environments such as basketball (McCormick and Tollison 1984), ice hockey (Levitt 2002), or
soccer (Witt 2005). There are historically fascinating examples in which randomization of
referees was introduced, such as in the 1998-99 National Hockey League (NHL) season when
the assignment of one or two referees to a match was done randomly (Levitt 2002). Chan et al.
(2019) also explored not just the one rule change, but repeated changes that led to a return to
the original condition. This allowed readers to see not just a first adaption process, but also re-
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adaption. Rule changes are particularly interesting from a behavioural economics perspective
because a key intention of sports rule change is to change the behaviour within the game (Elias
and Dunning 1966, Chan et al. 2019). Such changes can affect aspects such as emotionality,
is not only in the uncertainty created, but also in understanding the implications of observing
behaviour in a relatively close micro-environment that has only limited spill-over effects from
other areas. Uncertainty in other natural environments beyond sports is usually more complex
Those empirical explorations are important as behavioural economics needs to get the
psychology as well as the economics right, and therefore how humans respond to incentive
changes and changes in their constraints and opportunities. Thus, linking economics and
psychology together in the way behavioural economics can help to gain insights into the
understand how a billiard player adapts to changes it is not enough to just assume she/he is
familiar with the physics and mathematics of producing perfect shots. We need to understand
how those players act, learn, and adapt. Herbert Simon has clearly won that debate against
Milton Friedman: training them requires answering “why” questions. Think about heuristics
(and potential biases) and decision-making with a mind-set that tries to understand how the
actual world of sports works and evolves with all its underlying mechanisms. This means that
rule changes can be seen as some sort of a resilience test that helps us to understand those
mechanisms better.
Institutional Factors
There are interesting links between the way that institutions are set up and how they influence
human behaviour that is often overlooked, which borders on ironic given that most are little
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more than social norms that are sufficiently long-lived, becoming an institution by formalising
a set of rules to govern how people should act and behave. The process of becoming an
institution describes a feedback mechanism between individuals and groups on shared social
norms and the mores of acceptable behaviour (Savage 2019). However, it also signifies that it
takes a significant length of time and stability for a norm to become institutionalised, implying
that they do not change quickly and are likely well out of step with the norms of a quickly
evolving society. This is no different for sporting institutions, especially those that have been
functional for centuries, as the values and norms of the society that built the institution may
have moved on, leaving the institution struggling to remain relevant or effective.
provided by Duggan and Levitt (2002). The ancient and noble sport of Sumo Wrestling was
considered to be above the cheating and corruption that plagued nearly all others. However,
the authors revealed that is not the case when looking at how the structure of the competition
was examined through a more behavioural lens. The analysis focused on the how the sport’s
point in the tournament structure (when moving from seven to eight wins) where the payoff –
a promotion of rank – significantly increased for one competitor if they were successful (eight
wins). The eighth win has four times the value of a typical win. The analysis showed that on
any other bout when there was no such increased incentive to win, the outcomes were within
the expected win/loss ratios, but on the rounds where one player would receive the promotion,
the probability of their winning escalated dramatically. Effectively they demonstrated that the
opposing player was willing to collude by throwing the bout in order to ensure the promotion
(moving up a single spot would be worth $3000), but they also found that when these
competitors next faced each other the ‘favour’ was returned as the promoted player would most
likely lose the match. Such collusion shows that this cannot be explained purely by an athlete
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effort story. Match rigging also increased as the tournament ended. The results show that
wrestlers on the bubble on day 15 are victorious 25 percent more often than would be expected.
On the other hand, excess winning likelihoods disappeared in tournaments with a high level of
media scrutiny. Their findings are interesting for several reasons. It shows that corruption was
present in even a sport thought to be above such activities, but more importantly it
demonstrated that the incentive structure put in place by the sporting institution had a
significant impact on the attitudes and behaviours of players i.e., it inadvertently created a focal
point for player collusion at a specific point in every tournament. In addition, their results show
that the cost of detection also matters. Increasing media scrutiny can help to reduce collusive
behaviour, while an interesting avenue for further investigation would be whether, and to what
extent, sports disciplines have barriers to entry in the market that affect corruption or
Institutions have been developed to help codify and regulate international sport with
the creation of professional associations and presence of referees as the on-field arbiter of the
rules. These institutions ensure that the negative aspects of competitive sports, i.e., aggression,
conflict, and violence do not degenerate into a free-for-all, and that they mirror the acceptable
behaviours we observe within our modern societies (Howell 1975, Cooper 1989, Riordan
1993). In line with this, Caruso et al. (2017) explored the relationship between international
football competitions and conflict across several international football tournaments including
the FIFA World Cups, Olympic Games, Champions Cups, and Under 20’s World Cups
between 1994 and 2014 to analyse the impact that national differences (identity) had on match
aggression and conflict. They conclude that while the impact of any one referee on enforcing
the institution’s position is not clear, the analysis of several decades of competitions across
numerous international tournaments enabled them to ascertain the true impact of the referees
controlling conflict during those matches. Furthermore, they demonstrate that FIFA, the
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institution governing football, was able to have a positive impact on behaviour by limiting or
directing social violence through the control of referees. By examining aggression and violence
through the awarding of red or yellow cards and in-game fouls for minor indiscretions, they
demonstrated that match referees had a significant institutional impact on the on-field
transgressions that negated the significance of virtually all the national identity variables. This
result demonstrates that when an institution’s rules and expectations are well aligned and are
consistently applied and updated, they can have a significant positive impact on behavioural
outcomes. The authors also warn “that if an institutional approach is adopted the evidence
suggests that it needs a certain degree of flexibility and prescience, rather than a rule based
Disruptions
management changes. Such head coach changes are frequent enough to allow detailed
exploration. Van Ours and van Tuijl (2016) report mean in-season head-coach changes
between 4.2 (Netherlands Eredivisie) and 8.4% (Italy Serie A) for seven European football
leagues, covering 14 seasons, starting with the 2000/2001 season. Their results indicate that a
talented athlete; a star. Sports allows us to explore and track what happens individually and
teamwise over time. It can therefore provide better insights into dynamics that are difficult to
observe in the normal labour force. Evidence regarding CEOs indicates that top performers
achieve success only for a while, fading out quickly and leading to a sharp decline in teams’
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functioning (Groysberg, Nanda and Nohria 2004). Those insights indicate that companies
cannot gain from a competitive advantage by hiring stars, considering that they do not stay
with organizations for a long time (Groysberg, Nanda and Nohria 2004). Having detailed data
on how players interact with each other on the field (e.g., who interacts with whom throughout
the game or even during training sessions) allows us to observe and understand better how stars
are integrated into the team, how that integration evolves over time, and whether and to what
extent an integration is affected by the actual structure of the team itself (e.g., level of
heterogeneity across a number of factors such as age, experience, loyalty to the team, salary,
etc.). Future studies can also explore in more detail how technological disruptions such as Big
Data, AI, or quantum computing affect the game itself (Torgler 2020).
Pressure
Experiments involving pressure and stress have been directly linked to the breakdown in
judgment, rational decision making, and the generation of mistakes via an individual’s inability
to correctly weight options (Wright 1974). This can result in inefficient or poor outcomes as
individuals fail to correctly scan alternative options (Keinan 1987). As pressure increases,
individuals are less able to make rational choices, resulting in a greater number of irrational
choices (Meichenbaum 2007). However, it remains unclear exactly how much additional
pressure is required to detrimentally affect decisions (Jamal 1984), and part of this problem
derives from differences in the underlying model being used in the stress function. For
example, Sullivan and Bhagat (1992) outline four of the most common models, which
included: 1) higher levels of performance require at least some moderate level of stress; 2) a
positively correlated relationship such that only through high stress could high performance be
achieved; 3) a negatively correlated relationship where high stress results in low performance
levels; 4) and finally that stress and performance are totally unrelated. Additional issues arise
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when non-linear models like an inverted ‘U’ shape function (Allen et al. 1982, Meglino 1977,
Yerkes and Dodson 1908) are adopted over linear ones – where lower levels of stress may
actually aid in performance, but once the turning point (threshold) has been reached any
additional stress is detrimental to performance (see e.g., Baumeister 1984, Baumeister and
Showers 1986).
Sports allow us to pin-point the actual pressure experienced (magnitude and direction
of stress) relatively precisely. Savage and Torgler (2012) explored the impact of different stress
factors on elite athletes during penalty shoot-outs at the FIFA World Cup and the UEFA Euro
Cup competitions between 1978 and 2008. They found that predicable, anticipated, and
experienced stress factors (routinely experienced stress determinants), such as crowd size
(noise) or game level, have no impact on performance. However, the less anticipated stressors
such as final shots to win/lose appeared to have significant impacts on likelihood of success.
A large positive difference promotes performance (positive stress) and improves the
probability of a successful shot by about 17%, while a negative difference reduces performance
(negative stress) and decreases the probability of a successful shot by about 45%. This indicates
a substantial and asymmetric effect for top athletes, which means that they also respond
differently to detrimental incentive effects (high rewards or the threat of severe failure).
Krumer (2020) shows that penalty kicks are not just a “lottery”. Exploring the probability of
winning a shoot-out by looking at teams from different divisions indicates that higher-ranked
The penalty kick environment has also been used to understand the effect of a
supportive audience on performance. Dohmen (2008) found that players in the German
Bundesliga (seasons between 1963 and 2004) were more likely to “choke” when playing in
front of their home audience. Thus, empirical evidence using sports data are useful as such data
can help to discriminate between theories. For example, in this case one can discriminate
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between a social facilitation or social support hypothesis that suggests that performance is
boosted by a friendly environment, and a social pressure hypothesis which argues that it can
impair performance (Dohmen 2008) via a higher psychological pressure due to higher
expectations. As Butler and Baumeister (1998) stress “it may be more painful to have friends
and family see one fall flat on one’s face. A supportive audience could conceivably increase
pressure, concern, and self-consciousness, which in principle could have a detrimental effect
on performance” (p. 1213). Applying an experimental approach, they observe that choking
under pressure around a supportive audience is found in skill-based tasks but not in easy tasks,
despite finding supportive audiences to be more helpful and less stressful. This led the authors
to conclude that people were not aware of the debilitating effect of supportive audiences.
Beyond such experiments, sports data provides a controlled setting in the real world to
explore whether or not – and in what conditions – choking under pressure matters. Dohmen
(2008, p. 652) stresses that penalty kicks are not free of problems. Only a selected group of
players is explored; therefore, a selection effect may lead to a lower bound estimate, as those
who are better able to cope with stress are more likely to be selected for such penalty kicks.
Using penalty kicks in World Cups after a draw would help to reduce such a problem as it may
increase the distributions of ability to choke (or not) under pressure (despite some ex-ante
training). Dohmen also stresses that for Bundesliga data, the stakes might not be high enough
to observe significant choking, which also means that such results would be lower bound
estimates (compared to other settings). Using World Cup or UEFA European Cup data would
On 17 July 1994, at the Los Angeles Rose Bowl, Brazil attempted to secure its fourth Federation
Internationale de Football Association (FIFA) World Cup trophy, in probably one of the most
memorable shootouts in World Cup history. One of Italy’s greatest ever players and a shining
light of the tournament, Robert Baggio, took what was to be the final shot of the US World
Cup. Baggio placed the ball on the spot, while Taffarel, the Brazilian goal keeper, took his
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position on the line in front of 94 000 spectators. The fascinating aspect of such a ‘high
pressure’ situation is the fact that after 4 years of preparation, several matches before this final,
120 min of game time, and eight prior penalty attempts, one single shot held the match outcome
in the balance. If Baggio misses then Italy loses the greatest prize of all in football, namely the
World Cup; if he is successful Italy still can retain a glimmer of hope of being world champions.
As many readers may know, Baggio’s shot not only missed but it soared metres over the
crossbar, which meant that Italy lost the tournament and Brazil became the 1994 World Cup
Beyond soccer, one can explore other environments that require a high level of precision. Harb-
Wu and Krumer (2019) looked at professional biathlon athletes, as a biathlete has to perform
the exact same non-interactive task of shooting the exact same number of times. As the authors
point out, this allows exploration of within-biathlete variation (e.g., with and without being in
front of a supportive audience). Moreover, as all biathletes need to perform the precision task,
may select themselves into that sports field). Their large data set covers 16 seasons including
144 World Cup events, 12 World Championships and 4 Winter Olympic Games – and the
results indicate for both genders that biathletes from the top quartile struggle more in their
pressure in a more controlled way, especially when looking at free throw percentages as a
measure of performance (for a discussion see Cao et al. 2011). Each free throw attempt is taken
from the same location, which means that the physical difficulty is constant. In addition,
contrary to a penalty kick, the performance is not confounded by a response of another player
(e.g., goalkeeper in a penalty kick). Contrary to penalty kicks, free throws occur very frequently
and for most players. This makes it possible to explore the heterogeneity in shooting skills and
stress resistance and means that results are less driven by a selection effect. Moreover,
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psychological factors may still matter because, as Cao et al. (2011) stress, free throws are still
a non-trivial task with failure rates for most NBA players. Their results indicate that there is
some choking but the effects (e.g., playing at home) are small. However, choking becomes
more dominant at the end of the game (decline in success by around four percentage points
when the shooter’s team is down by one or two points in the final minute). The negative effects
increase to 6.3 and 8.8 percentage points for the last 15 seconds when down by two or one
points, respectively. The choking effect is also stronger for players who are worse free throw
shooters. Toma (2017) followed up on basketball free throws looking at both females and males
at the college and professional levels. Interestingly, male college players who eventually play
at the professional level choke more in the final seconds of a close game. Toma’s argument is
that they feel more pressure to perform due to their career expectations. He also finds no
human behaviour under pressure. They looked at the effect of competitive pressure on the
likelihood of winning the game, instead focusing on the number of unforced errors or winning
While two observers can debate whether or not a certain shot should be considered as a forced
or unforced error, and whether or not the previous shot led to the forced error, in our case
Interestingly, they find that increasing the level of stakes reduces performance for men. They
seemed to choke under competitive pressure, while women choke less. Thus, women show
superiority in this setting regarding competitive pressure. They argue that those results are
“consistent with evidence in the biological literature that levels of cortisol, which is known to
impede the performance of both men and women, commonly escalate more substantially
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Hickman and Metz (2015) take advantage of the ability to look at performance on the
last hole of the golf tournament on PGA tours, allowing them to observe a substantial variation
in key pressure situations. Obviously, making or missing a putt can have a considerable
influence on the finishing position and the monetary reward. Their innovation is to have this
direct link to a monetary reward, which is less in the case if you fail in your free throw
performance in the NBA. An interesting addition is that they have data on the exact location
of players’ golf balls before and after each shot (down to an inch). Their results indicate that
increasing the value of a putt by around $50,000 decreases the likelihood of a player making
the putt by one percentage point. However, that magnitude is greater for specific shots such as
those taken from five to 10 feet away. Not surprisingly, less experienced players are more
One of the major issues limiting the empirical analysis of the stress/performance
performance and then comparing it to another). Performance is not fully comparable in most
workplaces, even between two individuals doing the same job, because regardless of the metric
used to measure performance it needs to be analyzed using the same underlying characteristic
or the statistical inference erodes (Allison 1999). For example, the environmental conditions,
incentive structures, support systems, or any number of other exogenous factors may not be
identical for both individuals. Given the broad availability of information on athletes and the
relatively controlled conditions under which they compete, the use of the sporting environment
has been fruitful. However, the modern era of Big Data may make this an even better
experimental laboratory – many players now wear IoT (internet of things) devices during
competition that track heart rates, blood pressure, speed, distance, and a range of other
geotagged data that could be coupled to the on-field behavior and choices made by players.
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This combination of new data could combine biological and physiological aspects with
When it comes to the human body’s non-sympathetic responses to stress, our brains cannot tell
the difference between reality and imagination. Our bodies release stimulants like adrenalin
and cortisol when we are stressed or when we imagine being stressed (Hamilton 2018). This
psychological effect also works in a number of other situations, e.g., the placebo. Under the
placebo effect we believe we have received a drug that will have a certain effect. Since our
mind is unable to distinguish between reality and imagination, it will often supply the required
sensation or, where possible, the stimulation to replicate what was expected – such as the
diminishing of pain. Studies have also shown that we can imagine our bodies fighting cancer
(Eremin et al. 2009) or recovering body function after a stroke (Kho et al. 2014) and our mind
rewires itself to make it happen. Many of the aspects of sports explored by behavioural
economists in the past have more than likely been confounded with physical aspects or skill of
the athletes being studied – one such example is sporting momentum (see e.g., Gauriot and
Page 2018, Cohen-Zada, Krumer and Shtudiner 2017). Thus, eSports offers the opportunity to
disentangle such mental and physical aspects. Psychological momentum (which will be
discussed in more detail later) can work as positive and negative momentum and alters
behaviour and performance by the perception of an individual (Iso-Ahola and Dotson 2016). It
has been argued that positive psychological momentum improves the individual’s confidence,
and by extension their competence which allows them to successfully complete the task at hand
in a better and faster manner – this then increases the individual’s expectations of success on
the next task. The problem with this argument is that it is directly related to physical attributes
of the individual, i.e., the assumption is that if the individual can complete a task faster (or
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better) they were either not exerting maximum effort or were doing so inefficiently. The
physicality issue poses a problem when trying to compare momentum between athletes as it is
unclear if individuals were actively conserving energy for future effort (or if they were already
at maximum effort), and how we can determine the comparative differences in effort and
energy between players. Again, we could turn to eSports where physical aspects are less
important in comparison to the mental (or psychological) ones – removing one of the confounds
Concepts
Prospect Theory
There are many contentious or unclear theoretical concepts that are difficult to empirically
prove, and several experiments and behavioural concepts are traditionally explored in
laboratory settings that may be better served if we can utilise the quasi-natural field aspect of
sports. For example, Prospect Theory has only occasionally been tested in the real world with
real-world losses (Page at al. 2014), but it may be much easier to test in an environment with
clear incentives, strategic actions, and real-world gains and losses. Prospect Theory relies on a
lack of adaption (habituation) of losses in terms of the individuals’ (or perhaps the groups’)
reference point (Kahneman and Tversky 1979). This point is supported anecdotally by
gamblers who often “chase their losses” or take on additional risk when they are behind but
may also take on more risk due to an endowment (house money) effect where a newly acquired
gain has not been habituated and can be gambled without fear of loss (Thaler and Johnson,
1990). However, it may be possible to explore this effect within the sporting context with
variations in risk behaviour in game (during) and out of game (after) – where post game we
would expect the players to now be in a ‘cold’ state and able to habituate the losses, but during
a game the players in a ‘hot state are likely to chase losses (see Loewenstein 2005). There may
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also be many potential avenues from which to approach this topic, from both the individual
and team levels. Individual sports could be used to provide insight into how players habituate
losses during highly incentivised tournament matches and may be compared to choices made
conjunction with the group assessment of risk (see below) with team sports – where individuals
and teams could be examined for changes in risk attitudes (behaviour) during matches.
knock-out games – to see if strategic elements make a difference in choices being made.
Goal Setting
The concept of goal setting, where a fixed goal provides an aspirational point of reference, is
an extension to Prospect Theory, where the reference point moves after gains or losses have
been habituated (see Locke 1968, Locke et al. 1990). If the theory holds, then individuals are
more likely to work harder to achieve a difficult goal than they would if no goal or an easily
achieved one was set. An extension of this theory could be that during sports competitions or
tournaments (rather than single matches), losses could inspire players to strive harder or take
on more risky options to achieve the stated goal. For example, as the probability of success
wanes (decreases) the players may be willing to adopt riskier and riskier gambles in an attempt
to overcome the lower probability. This often occurs in tournaments where teams or individuals
hold an expectation of where they should finish (regardless of if that is first place, fifth, or
Interdependent Preferences
Another theory that has proven difficult to empirically explore has been that of interdependent
preferences (Pollak 1976), where the preferences of an individual are co-dependent on the
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preferences of others. While this is fundamentally at odds with the rational choice self-
repeatedly shown that individuals regularly deviate from the behaviour expected from this
model. However, the sporting environment may provide us with an interesting environment to
explore what happens when both self and collective interests are present – such as wanting to
maximise their own payoff, but where others are required to reach this goal. For example,
player contracts or wages in individual sports are purely dependant on the players own
performances and skills. However, in team sports we observe that an individual’s ability to
excel in their own position is directly dependent on those around them, as such every player’s
success depends on that of another (Frank 1984). Sports data provides an unusually large
amount of interconnected data on performance and earnings that can be exploited to explore
how the contract negotiations of similar players are linked to the performance of teammates
and other players of similar skills. As such, even superstars with the highest ranking may be
concerned about the ranking and incentives of those around them (Postlewaite,1998), and not
just their absolute position or earnings. A great example of this relationship could be seen
between Michael Jordan arguably the greatest basketball player of all time and his long-time
He helped me so much in the way I approached the game, in the way I played the game. Whenever
they speak Michael Jordan, they should speak Scottie Pippen. Everybody says I won all these
championships. But I didn’t win without Scottie Pippen. That’s why I consider him my greatest
Strategic Interactions
The analysis of sports in the sports economics methodology has been doubly focused on many
traditional and mainstream sports but there may be some significant advantages to exploring
more strategic games such as chess, go, or poker to analyse strategic and k-level thinking.
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Strategic thinking may also open the door to explore free riding, minimax, or maximin as
sporting strategies.
(Group) Risk
Early experiments in social psychology (Stoner 1961, Bem et al. 1965) show that groups are
more likely to take on more risk than the individuals that make up those groups. Termed as a
“risky shift”, the analysed groups almost always took on more risk. It may be that individuals
feel more comfortable adopting more risk if they can share the responsibility (blame) for a
failure amongst the group, but if that responsibility falls on the individual, they are more risk
adverse. This may also be related to the concept of “group think” (Janis 1972), where the
individual may be more concerned about what others think as opposed to their own self-
assessment. Rather than question those in charge or above them on the hierarchical chain,
individuals will suppress their own views if they do not align and converge on a risk assessment
based on a focal point rather than a distribution of the group (see, e.g., Bénabou 2013). We
have observed the disasters that can occur when group think is allowed to flourish in the
financial markets. The Global Financial Crisis (GFC) was rooted in the belief that the US
housing market could not fail – until it did. This is not the first time the finance industry came
close to collapse caused by a group think situation, this problem was described as data-think,
where everyone is relying on the same data: the fact that “everyone will be wrong about the
same thing at the same time brought hedge fund Long-Term Capital Management close to
collapse in 1998” (Hill 2018)1. Thus far economics (especially behavioural) has predominately
focused on individual decision makers and how risk preference, risk type, risk seeking/aversion
has impacted their choices. Obviously, this becomes more complicated if we wish to explore
1
Hill, A. (2018). Why groupthink never went away. Financial Times, May 7th, 2018. Available from
https://www.ft.com/content/297ffe7c-4ee4-11e8-9471-a083af05aea7
18
group behaviour and attitudes, however, this may be where the sporting arena may be helpful.
Goff and Tollison (1990, pp. 6–7) define it thus: “Sports events take place in a controlled
environment and generate outcomes that come very close to holding ‘other things equal’”.
Thus, sporting events can be seen as ‘quasi-natural field experiments’ where subjects are acting
perform) and players compete in an actual high-stakes contest with real incentives to be
successful (Goff and Tollison 1990). In such an environment it may be possible to explore
whether group assessments of risk differ from that of the individual. For example, an individual
may be personally risk seeking, but they play in a team that has a demonstrably risk averse to
attitude.
(Mismatched) Incentives
We know that there have been mismatched incentives in sports due to the winner take all
market (Frank and Cook 1995), where a small variation in performance or skill results in very
large changes in payoffs. To quote Ricky Bobby2 “if you’re not first, you’re last”. Effectively
summing up the problem: you are either the winner or you are nothing, and in such an
environment any advantage can make the difference. This becomes especially apparent in the
use of performance enhancing drugs (PED), extreme training regimes, and the adverse health
outcomes athletes may be willing to accept (Humphreys and Ruseski 2011). The short-term
payoffs for cheating or abusing their health must outweigh any potential long-term damage or
health concerns. The question for us to consider: is there a behavioural approach on how we
could realign incentives and payoffs? This seems to fit within a temporal discounting problem
2
Talladega Nights: The Ballad of Ricky Bobby – starring Will Ferrell and Sacha Baron Cohen, directed by
Adam McKay is a parody on NASCAR Racing (2006).
19
as current (or short term) rewards are valued much higher than future (long term) losses, where
Biases
We will next discuss a set of biases and how sports have helped to explore such biases
empirically. The list is far from complete; however, a nice overview of biases in general is
provided by Dobelli (2013). Future studies could map them in more detail with available
evidence in sports or how those biases can be analysed in detail in the sports setting. We focus
on an interesting set that shows the power of sports data in exploring commonly discussed
biases in behavioural economics. That also means that we do not intend to provide a detailed
literature overview of papers within the area that we are discussing. Such an attempt would go
One can only assume that sports clubs are subject to sunk cost fallacy when investing in players.
This means that they deviate from the classical economics approach, which would assume that
club decision makers would only consider incremental costs in their decision making. The
empirical design of using sports data has the advantage of holding the industry and competitive
conditions constant, and of observing the actual reactions of the decision makers (Pedace and
Smith 2013). One of the first studies to explore sunk costs in the sports environment was
conducted by Staw and Hoang (1995). They were inspired by experimental studies that
explored sunk-costs effects focusing on resource utilization (see Arkes and Blumer 1985).
When analysing the psychology of sunk costs, Arkes and Blumer (1985) find strong support
that sunk costs are robust judgement errors (e.g., psychological justification of such a
maladaptive behaviour is due to the desire to not appear wasteful (p. 125)). The innovation
20
from Staw and Hoang (1995) was exploring the sunk-cost effect in a natural organizational
setting using sports data (NBA data). They focused on the idea that people may perceive an
association between draft order and the prospect of future performance (strong expectation of
In our view, the presence of cognitive bias, commitment, wastefulness, and justification may
all be interwoven in natural situations. In the case of the NBA, taking a player high in the draft
usually involves some extremely high, often biased, estimates of the person's skills. The draft
also involves a very visible public commitment, one that symbolizes the linkage of a team's
future with the fortunes of a particular player. Moreover, the selection of a player high in the
draft signals to others that a major investment is being made, one that is not to be wasted. If the
draft choice fails to perform as expected, team management can expect a barrage of criticism.
Having to face hostile sports commentators as well as a doubting public may easily lead to
efforts to defend or justify the choice. In the end, team management may convince itself that
the highly drafted player just needs additional time to become successful, making increased
investments of playing time to avoid wasting the draft choice (p. 492).
The argument is that once the actual performance data in the NBA are available such a signal
should not provide any further information about a player’s ability (Borland, Lee, and
Macdonald 2011). Focusing on playing time, survival in the league, and the likelihood of being
traded, they found evidence for such a sunk-cost effect. For those better drafted players, they
observed more playing time, a longer NBA career, and a lower probability to be traded
(controlling for other important predictors such as performance, injury, or trade status).
Camerer and Weber (1999) extended on that study by collecting a new sample and testing
alternative rational explanations. They found an effect which was around half as strong in
magnitude and statistical strength but that supported Staw and Hoang (1995)’s basic
conclusions while improving the methodological approach via accounting for alternative
explanations. Such results are additionally supported by Coates and Oguntimein (2010) and
21
Groothuis and Hill (2004), who found that the draft number affects NBA career duration even
after controlling for performance measures. Leeds, Leeds, and Motomura (2015) further extend
on those studies by focusing on the transition between states (lottery versus nonlottery or first
versus second round picks) and allowing them to apply a regression discontinuity approach in
the hope of handling omitted variable biases or causality issues. Their regression discontinuity
results indicate that a lottery pick or first-round draft choices receive no more playing time for
On the other hand, further evidence for a sunk costs effect has been found when looking
at Major League Baseball managers (Predace and Smith 2013) and the Australian Football
League (AFL) (Borland et al. 2011), although the AFL study only found limited evidence that
was largely concentrated around players’ initial seasons at a club. Predace and Smith (2013)
were motivated to understand whether new manager retention decisions were affected by
whether or not the poor choice was made by a previous manager. Their results indeed indicate
that poor performing players were significantly more likely to be divested by new managers
than they were by continuing managers. Keefer (2015) criticized previous studies by stressing
that players’ draft numbers are a measure of expected productivity. Keefer (2017) also
criticizes that the first-round players are not always the first player chosen by their team. Keefer
(2017) uses the NFL draft as a natural experiment, using fuzzy RD as first round players
selected near the round cut-off receive a very large wage premium (first round wage premium
of around 36 to 38%). Players selected near the round cut-offs are therefore essentially
randomized and can be used to identify a sunk cost effect via the effect of compensation on,
for example, the number of games started. One may also argue the superstars are easier to see
as their overall level of skill stands out, but as you proceed back into the general draft pool
athletes become more clustered and the skill levels between players becomes smaller which
means that it becomes much more difficult to observe skill differences. At this point the
22
decision becomes much more random – this may not actually be a reflection of players’ actual
overall potential but just on what is observably different at this early point in their career. The
results indicate sunk cost effect (a 10% increase in compensation was linked with 2.7 additional
games started). However, Keefer (2015) criticized that such a result may just represent heuristic
thinking and therefore the question emerges whether or not the sunk-cost fallacy persists when
compensation when players become eligible for free agency or change teams. Here, he also
It is interesting to look beyond these results to other sports fields, such as soccer. Soccer
teams in the form of salary caps or a draft system. However, using German Bundesliga data,
Hackinger (2019) finds that playing time is mainly driven by previous or predicted
performance, which means that coaches and managers ignore high transfer fees in that decision
process. Alternatively, the Oakland Athletics (A’s) baseball club fiscal and statistical strategy
was made famous by the 2011 movie Moneyball starring Brad Pitt as club manager Billie
Beane (see also Lewis 2004). The A’s have built a highly competitive and successful team,
able to compete with baseball heavyweights like the New York Yankees or the Boston Red
Sox by going against the mainstream by embracing sunk cost thinking. In recent years they
have been trading away ‘superstars’ to build a better team – in a statement to the Wall Street
We’ve always had to operate a little differently than everybody else. We’re never afraid to be
wrong, and if that involves trading away good players, then we’re OK with that, because,
ultimately, we have a lot of conviction in the players we’re getting in our half of the deal.
3
Story sourced from the Wall Street Journal at https://www.wsj.com/articles/the-moneyball-as-find-a-new-
inefficiency-other-teams-players-11566322019.
23
Action Bias
Behavioural economics has challenged the classical assumption that how an outcome comes
about should not matter. We often feel the emotion of regret when looking back on what turned
out to be bad decisions. There is substantial available evidence that indicates people regret
actions more if the outcome is reached by action rather than inaction (for an overview see
Zeelenberg et al. 2002). But Zeelenberg et al. (2002, p. 314) also stress the importance of
accounting for decisions made in response to things that happened earlier. This means that if
the prior outcomes were negative, you are more likely to be inclined to improve future
outcomes and therefore regret inactions more. Using scenarios from the sports domain (soccer
coach decisions), they confront subjects in an experiment with a situation in which soccer
coaches either won or lost a match prior to the current one. Their findings indicate that previous
negative outcomes provide a reason to act and that decisions not to act, which are followed by
a negative outcome, trigger regret. Thus, when a prior game was lost, a coach who acted would
feel less regret than one who did not act. At least the active coach tried to prevent (further)
losses.
In general, experiments are useful in that context as you can explore what happens if
two individuals arrive at the same negative outcome with and without acting. Such laboratory
experiments can be extended by applying physiological measures such as heart rate variability
monitors, that have been used as physiological markers of emotions (see, Dulleck et al. 2011,
2014, 2016, Torgler 2019, Macintyre et al. 2021). Sports data is also useful as it allows going
beyond using hypothetical questions which was the core methodological approach to explore
action biases (Bar-Eli et al. 2007). Bar-Eli et al. (2007) therefore looked at elite goalkeepers
during penalty kicks to explore whether an action bias existed in the real-world. Goalkeepers
are experienced in their decision-making domain and highly motivated to perform well. Penalty
kicks are also interesting in that context; due to the almost simultaneous-move game
24
characteristic, goalkeepers cannot de facto afford to wait to see how the player kicks the penalty
(Bar-Eli et al. 2007). The authors stress that the norm for goalkeepers in penalty kicks is to act,
which means jumping to the right or the left. Data from 286 penalty kicks shows that
goalkeepers chose to jump to their right or left in 93.7% of cases, while the utility-maximising
behaviour would have been to stay in the goal’s centre if the decision were based on the
probability of stopping the ball. The authors show that if a goalkeeper behaves according to
the probability matching principle, they should stay in the centre for around 28.7% of the kicks
but they only choose to stay in 6.3% of the time (see Figure 1). They therefore conclude that
action bias could explain such a behaviour: “[I]f the goalkeeper stays in the centre and a goal
is scored, it looks as if he did not do anything to stop the ball” (p. 614).
Figure 1: Penalty Jump and Kick Direction and Stopping Based on Bar-Eli et al. 2007
Jump direction
Left Centre Right Total
18.90% 0.30% 12.90% 32.20%
Left 29.6% 0.0% 0.0% 17.4%
14.30% 3.50% 10.80% 28.70%
Kick direction Centre 9.8% 60% 3.2% 13.4%
16.10% 2.40% 20.60% 39.20%
Right 0.0% 0.0% 25.4% 13.4%
49.30% 6.30% 44.40% 39.20%
Total 14.2% 33.3% 12.6% 14.7%
Source: Bar-Eli et al. 2007, pp. 612-613. Notes: The chances of stopping a
penalty (number of balls stopped/total number of jumps to that direction)
are in green, jump direction is in black.
Future studies could explore whether the level of action bias is influenced by specific
contextual factors (e.g., importance of the game) or individual characteristics (e.g., experience,
gender, age, etc.). Bar-Eli et al. (2007) also notes issues around the dynamics: “If goalkeepers
will always choose to stay in the center, however, kickers will start aiming all balls to the sides,
and it will no longer be optimal for the goalkeeper to stay in the center” (p. 616). This may also
25
be linked to the general question whether biases attenuate, fully disappear, or even reverse once
Outcome Bias
A commonly discussed bias in behavioural economics is outcome bias, which means that we
evaluate decisions based on the results rather than the actual decision process itself. Sports are
appraisal. Sports data allows going beyond the lab, which has been the dominant method to
explore outcome biases and performance appraisal. Kausel et al. (2019) focused on penalty
shoot-outs as the outcome of a penalty shoot-out (who wins or loses), which seemed to be
level as well as the team level). The ability to work with these data is a significant improvement
over working with field data, as in the latter we are faced with the problem that actual
performance is correlated with outcomes, which makes it hard to explore an outcome bias.
Such independence between performance and outcome can then be linked to football players’
subjective performance ratings. Kausel et al. (2019) therefore tested whether players on the
winning team received better ratings than those on a losing team. Their data (which were
derived from major soccer tournaments such as FIFA World Cup, UEF European
Championship, and UEFA Champions League) indicate that winning the penalty had a positive
effect on reporters’ performance ratings, even after excluding players who participated in the
penalty shoot-out. Beyond that, they found such an effect remains when using fixed effects
(within-players’ design).
26
Merkel et al. (2021) explored performance appraisal by looking for signs of optimism and/or
positivity bias in rating semi-annual performance appraisals in the youth academy of a German
Bundesliga. The interesting thing is that this allowed exploration of three types of evaluations:
a rating of predicted future performance, a rating of remembered performance during the last
half-year, and record of instantly reported ratings of the actual performance in individual
matches. Those ratings are important as they affect athletes’ possibility to progress to the next
age group. Their results indicate that predicted and remembered performance ratings
significantly exceeded actual ratings. Such a deviation is more pronounced for the predicted
performance, which indicates some asymmetry between looking forward and backward. Such
Nationalistic biases have offered an interesting avenue for past explorations. In general,
events such as the Olympics provide a rich data source to explore such biases; as various fields
such as ski jumping, figure skating, diving, etc. rely on judges’ scores. As Zitzewitz (2006, p.
[I]n most settings, attempts to study favoritism empirically would be frustrated by the difficulty
of observing where one should expect favoritism (e.g., who is “friends” with whom).
The sports environment, on the other hand, allows us to explore whether judges are
nationalistically biased. Beyond that, Zitzewitz (2006) explored whether such a bias varies with
strategic considerations, which would indicate intentionality. The sports setting also provides
(2006, p. 69) discusses the differences between ski jumping and figure skating. In ski jumping,
judges are chosen by the Federation International du Ski (FIS), while national federations
choose the judges to be represented at Olympics in figure skating. Zitzewitz (2006) even
observes that in figure skating, bloc judging or vote trading is found. One would therefore
expect more nationalistic biases in figure skating. In addition, as FIS selects judges based on
27
pre-Olympic events, one may expect to observe more nationalistic biases in the Olympics
compared to the pre-Olympic events (which he finds to be true). In general, Zitzewitz (2006)
finds a relatively large effect. For example, a nationalistic bias in figure skating translates to
an average of 0.7 higher ranking position placement. He stresses that some of his findings make
it difficult to rationalize with tastes (e.g., for a particular national style of skating) or
unconscious biases:
Examples include the fact that the national identity and past judging bias record of the other
panel members appears to affect scores or the fact that biases vary in a way that accords with
Emerson, Seltzer and Lin (2009) looked at diving competitions from the 2000 Summer
Olympic Games to see whether judges have preferences for individual divers due to, for
example, style. They stress that a residual from their model represents the difference between
judges’ scores and the predicted score of judges for a diver given the nationalities of the judge
and the diver. They conduct an analysis of variance predicting the residuals using individual
divers as explanatory factor, which means that the coefficient would indicate a judge’s
preference for individual divers due to unobserved reasons after controlling for nationalistic
preferences (p. 130). Their results indicate that only one judge reported differences that are of
Further studies judges’ or referees’ biases looked at gymnastic judges (Flessas et al.
2015, Heiniger and Mercier 2019), combat sports (Myers et al. 2006), soccer (Torgler 2004,
Pope and Pope 2015). Ansorge and Scheer (1988) looked at gymnastic competition at the 1984
Olympic Games and found judges not only overscore gymnasts from their own countries, but
also underscore gymnasts from countries who are in close competition with their own country.
Campbell and Galbraith (1996) find some evidence that the bias against Olympic figure-skaters
is stronger for medal contenders than for competitors who are less strong.
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Zitzewitz (2014) also explored the interesting policy adjustment of reducing
transparency among the International Skating Union (ISU) via no longer reporting which judge
gave which score after the vote trading scandals in the 1998 and 2002 Olympics. ISU hoped to
reduce outside pressure on judges in order to reduce favouritism and corruption, but Zitzewitz
(2014) was able to show that nationalistic bias and vote trading actually increased slightly
without being statistically significant after the reforms. He points out that “[i]f nationalistic
bias has increased in importance relative to vote trading, we might expect to see a single
The literature on referees’ home court biases is closely connected to this literature,
particularly in the area of soccer. The paper by Garicano, Palacios-Huerta, and Prendergast
(2005) on extra allowance time when the home team is behind by one goal (compared to when
being ahead by one goal) influenced many studies. Dohmen and Sauermann (2016) provide an
excellent overview of that area of research. When looking at extra time they conclude that there
is evidence for systematic referee bias in the second half of the game. The effect is strongest
when the home team is one goal behind before the stoppage time begins. In addition, the bias
is larger in Spain compared to Germany, possibly due to the higher travel distance (longer than
700 kilometres, compared to 400 in Germany). Dohmen and Sauermann (2016) also review
other decisions such as awarding goals or penalty kicks, as they have a more immediate impact
on the outcome of a game. The overview indicates that home-biases are visible for penalty
kicks. Home teams benefit from a larger fraction of awarded penalty kicks that are wrongly
given or disputable when being behind by one goal (see Dohmen 2008b). Similarly, various
studies (but not all) found a bias regarding the award of yellow and red cards, controlling for
players’ behaviour, noting that bias is triggered by the crowd density (Dohmen and Sauermann
2016). Overall, Dohmen and Sauermann (2016) summarize the biases into two categories:
those driven by social and those by material payoffs. Social payoffs are linked to the size and
29
composition of the supporting crowd, or distance to the crowd. However, they stress that social
forces can be partly offset by material payoffs, such as increasing the referees’ wages or by
The question of what happens with referee bias once the stadium is empty is an
interesting avenue to consider. After a serious act of hooligan violence between supporters
from Calcio Catania and Palermo Calcio in 2007, the Italian government forced teams to play
their home games without spectators if they had stadiums with deficient safety standards.
Pettersson-Lidbom and Priks (2010) took advantage of the situation to study the difference in
an empty stadium. Using data from Serie A and Serie B for the season 2006/2007 up to the
point when all teams (apart from Catania) played in front of spectators again (842 games), they
find that referees significantly change their behaviour in games played without spectators.
Home teams are punished less harshly than the away teams with spectators, but more harshly
without spectators. Similarly, Bryson et al. (2021) take advantage of the COVID-19 pandemic
Using a large data set from 6481 football games and 17 leagues played before and after the
mid-season shutdown, they find that the absence of crowds reduces home advantages.
Significantly fewer yellow cards were awarded to the away team without a crowd, narrowing
down the gap between the home and away teams by around a third.
A natural avenue in the history of behavioural economics was the exploration of whether we
see patterns where there is actual randomness. Our brains are usually well-equipped to see
patterns, as such a skill increases survival chances. However, one cannot exclude the possibility
that we are subject to cognitive illusions. In one of the most famous sports papers, Gilovich,
Vallone, and Tversky (1985) investigated whether or not there is a hot hand in basketball by
30
looking at the Philadelphia 76ers in the 1980-81 season, as a large number of individuals
(including sports experts) believe that a player has a better chance of making a successful shot
after having made the last two or three. The innovative approach looked at conditional
probabilities for nine players (shooting percentage of having missed or hit the last shot, last
two, and last three). Their study could not find a hot hand. In fact, eight of the nine players’
That result inspired a very large set of different studies, which are too numerous to
properly discuss. One goal of the studies was to achieve more controllability. The problem is
that the game itself is subject to a rich context where other effects may take place. For example,
a “hot shooter” may believe they are on fire and may therefore take more difficult shots, which
may reduce the success rate. Or the opposing team may start guarding a “hot shooter” more
closely, reducing future success rates (Koehler and Conley 2003). Consequently, studies
focused on measuring and analysing free throw successes. However, this focus is not free of
problems. First, there is a high probability of success in free throws (around 75%) and this
brings the problem of potential time lags (Koehler and Conley 2003). New free throw
opportunities are often too far apart. Thus, researchers started looking at long distance shootout
contests such as the annual NBA competition where eight of the best 3-point shooters compete
against each other, taking five uncontested shots for five pre-determined sports around the 3-
point arc, allowing for sixty seconds to finalize all the shots. A hot hand hypothesis would
suggest that a shooter would have fewer runs (e.g., HHHHH (one run) versus HMHMH (five
runs) but that does not seem to be the case (Koehler and Conley 2003). When comparing
expected and actual runs, Koehler and Conley (2003) indicate a lack of a hot hand effect on
NBA Long Distance Shootouts. However, Burns (2004) emphasizes that the hot hand
phenomenon has two separate components: the hot hand belief regarding dependence and a hot
31
hand behaviour following streaks. In other words, invalidating a belief does not necessarily
There is no doubt that the beliefs people hold play an important role in their decision making
and thus identifying those beliefs is useful. However, unless one thinks it is better to score less
in basketball than would be possible if a simple cue was given some weight, then it appears that
a research focus on belief without regard to behavior has led to the mis-analysis of an important
Burns (2004) uses simulations to show that streaks are valid allocation cues for deciding who
Studies around the hot hand fallacy or a momentum effect have explored beyond
basketball (namely in baseball, tennis, golf (including golf putting), soccer, volleyball, darts,
tenpin bowling, or horseshoe tossing), but a key problem remains that such studies fail to
understand the actual cognitive processes around it in more detail (Alter and Oppenheimer
2006). Focusing on neuroscientific insights or identifying settings are interesting avenues that
have a biological background. Burns (2004), for example, cites neuroscientific evidence that:
demonstrated that different areas of the brain are more activated by streaks than by nonstreaks.
Not only do specific areas of the brain react to streaks, but the strength of the signal is related
to the length of the streak. If the brain is wired to notice streaks, then it is unsurprising if it is
also found that people utilize streaks in making choices. Furthermore it also implies that doing
Page and Coates (2017) used professional tennis matches to understand the importance of a
winner effect that could be driven by testosterone changes, arguing that the winner effect might
be mediated by a physiological feedback loop: “winning leads to higher levels of, or increased
sensitivity to, testosterone, which in turn raises the likelihood of further victories” (p. 531).
However, testosterone should not drive the results for female tennis players (females have 10
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to 20 percent of the testosterone levels of males, Coates 2012). Their results indeed indicate
sex differences. Men who won a closely fought tie-break had around 60% chance of winning
the following set, while this winner effect did not exist among women. The importance of
focusing on the biology has been advocated by Coates (2012), looking in detail at traders. He
stresses that:
economics needs to put the body back into the economy. Rather than assuming rationality and
an efficient market – the unfortunate upshot of which has been a trading community gone feral
– we should study the behavior of actual traders and investors, much as the behavioural
economists do, only we should include in that study the influence of their biology (p. 36).
In general, behavioural economics has failed to fully explore the possibilities of biology
(Torgler 2016). Several recent contributions have shown that we can learn a lot studying
humans from an evolutionary perspective (see, e.g., Wilson 2019). Surprisingly, several
behavioural economists have been very critical regarding evolutionary psychology. Thaler
(2015), for example, stresses in his book Misbehaving that “accepting the theory of evolution
as true does not mean that it needs to feature prominently in an economic analysis. We know
people are loss averse; we don’t need to know whether it has an evolutionary explanation” (p.
261). Tversky is also said to have pointed out: “Listen to evolutionary psychologists long
enough and you’ll stop believing in evolution” (Lewis 2017, p. 336). This somehow goes back
to the academic fight or intellectual battle between Gigerenzer and Tversky and Kahneman
(see in detail Lewis 2017). Gigerenzer emphasized the importance of adaptive theories and the
relation between the mind and the environment rather than the mind alone (for a discussion see
also Torgler 2021b). In his Psychology Review article Gigerenzer (1996) stressed that “the
issue is not whether or not, or how often, cognitive illusions disappear. For him, the focus
should be rather the construction of detailed models of cognitive processes that explain when
and why they disappear” (p. 592). Gigerenzer (2004) also recollects the following discussions
33
Herb applauded the demonstrations of systematic deviations from expected utility by
Kahneman, Tversky, and others. But what did he think when the followers of Kahneman and
Tversky labeled these demonstrations the study of ‘‘bounded rationality?’’ I asked him once,
and his response was ‘‘That’s rhetoric. But Kahneman and Tversky have decisively disproved
economists’ rationality model.’’ Herb was surprised to hear that I held their notion of cognitive
illusions and biases to be inconsistent with his concept of bounded rationality. I think he liked
their results so much that he tended to overlook that these experimenters accepted as normative
the very optimization theories that Herb so fought against, at least when the results were
interpreted as cognitive illusions. A true theory of bounded rationality does not rely on
deviation from an ‘‘insane’’ standard should not automatically be called a judgmental error,
should it? ‘‘I hadn’t thought about it in this way,’’ Herb replied (pp. 396-397).
Players and fans alike are always looking for a win, and anything that might help that outcome
is warmly embraced, however, anything that ‘might’ impinge upon success quickly becomes
anathema, even if it is completely illogical. For example, the colour green is seen as a major
problem for equestrian riders and NASCAR drivers – even a hint of green being worn in the
audience spells bad luck for a horse and its rider4, because green was linked back to major
NASCAR accidents in the 1920’s5. While some of the superstitions held by players when it
comes to certain colours may seem odd, there is a good amount of research to back some of it
up. While it sounds like a myth, being in the red corner for Olympic combat sports such as
improve the chances of winning (Hill and Barton 2005). This colour effect has been shown to
4
Sourced from Eclipse magazine https://eclipsemagazine.co.uk/5-horse-racing-superstitions-explained/
5
Sourced from https://jalopnik.com/how-the-color-green-became-a-deadly-bad-luck-superstiti-1763008917
34
carry over to eSports with ‘death matches’ in 2004’s First-Person Shooter (FPS) game Unreal
Tournament. Ilie et al. (2008) found that over a 3-month period (1347 observations) the red
teams won 54.9% of the matches – even though players were anonymous, and the player
avatars were visually identical except for the team colours. Piatti et al. (2012) undertook an
analysis of the red effect on professional Rugby League (Australia) teams over 30 years (1979-
2008), which covered 5604 individual matches. They found that wearing some amount of red
resulted in teams winning more often than teams without any red in their jersey stripes –
specifically, that by shifting from no-red to a little increased the probability of winning by 4.3
percentage points and by shifting from a little red to red being a major colour in the strip
increased the probability of winning by 7.5 percentage points. While the effect has been shown
to be present across several sports, the underlying cause of the effect is still not clear, i.e., is it
as simple as just the increased visibility of the colour, or is it biologically encoded in our DNA
One of the oldest sports training tips across the world is probably “keep your eyes on
the ball,” it does not matter which sport was being talked about – but one would assume it is
relevant for non-ball sports as well i.e., watch the puck (clay pigeon), focus on the target
(bullseye), etc. But what happens when athletes become stressed and take that maxim to
extremes? As discussed above, high levels of stress and pressure can lead to individuals making
sub-optimal decisions – one of the reasons for this is hyper-vigilance (Schultz 1966, Janis and
Mann 1977). Essentially, this is when athletes begin to second-guess their choices and switch
from the usual automatic and instinctual behavioural responses into a more laborious and time-
consuming step-by-step thought process (Beilock and Carr 2001, Bourne and Yaroush 2003,
Lehner et al. 1997). The hyper attention focus on every detail, rather than natural processes,
35
overthinking (Epstein and Katz 1992) or obsessive focus on singular aspects or tasks to the
neglect of all else. This can lead to an inability to respond to or quickly react to changes outside
the focal point – a possible example of this is Biaggio’s 1994 FIFA World Cup finals penalty
shot miss, where he was so focused on correctly striking the ball, he may have not given enough
attention to aiming where he was kicking the ball (which went flying well above the cross bar).
In this section, we will discuss how sports data can provide a tool for the exploration of
Cooperation
Team sports data allow us to explore in detail how players cooperate and interact, as one is
able to see how athletes interact together and under what circumstances (e.g., decisiveness of
the game situation). While the cooperation literature is quite extensive (for an overview, see,
e.g., Christakis 2019), the dynamics of cooperation are still not well enough understood beyond
a lab or simulation setting. In repeated interactions, a higher payoff can be achieved through
conditional cooperation or reciprocity. In other words, following rules of good behaviour can
be a good strategy. Game theorists have explored this question in detail. Through repeated
interaction, you can achieve peaceful cooperation; for example, as exemplified by the Folk
theorem. Future expected punishment can enforce cooperation, despite a strong short-term
conflicting interest (incentive to cheat). In other words, “prospect of vengeful retaliation paves
the way for amicable cooperation” (Nowak and Highfield 2011, p. 29). Various punishment
strategies can then be discussed, as by Axelrod (1984), via a tournament or competition that
36
performed best in this setting. Nowak and Highfield (2011) report fascinating simulations
conducted by Martin Nowak. His innovation was introducing chance (cooperation with a
certain probability). The most powerful strategy in the dynamic interplay of cooperation and
selfishness in a world that started with primordial chaos (random strategy) was a generous tit-
for-tat strategy. Always meet cooperation with cooperation; but when faced with defection,
cooperate for one in every three encounters. In other words, the recipe for forgiveness was
probabilistic. In another simulation the winning strategy was: “If we have both cooperated in
the last round, then I will cooperate once again. If we have both defected, then I will cooperate
(with a certain probability). If you have cooperated and I defected, then I will defect again. If
you have defected and I have cooperated, then I will defect” (p. 43).
We argue that the sports environment can also provide an interesting environment in
interesting study by Brouwer and Potters (2019) that focused on cyclists’ breakaways. During
such a breakaway, riders are required to cooperate if they are keen to build a lead over the
chasing peloton that has more manpower. But there is a social dilemma in this situation. As air
resistance can fatigue a rider, anyone in this newly formed “team” may try to minimize being
in the leading position to have more energy for a final sprint (effort saving strategy). A rotation
formation would be a highly cooperative formation to deal with free-riding incentives. Free-
riding would mean refusing to lead the group, or underperforming by exerting less effort when
at the front6. Such shirking is, as Brouwer and Potters (2019) found, harder to detect. The
authors find a positive effect of group size and group strength on breakaway success, but the
effect is concave (reaching the optimal level at 26 riders, meaning that adding another rider
6
There is also the strategic issue where rider from leading teams try to join breakaways with the intention of
slowing the overall pace to allow the peloton to catch up within a certain distance to the finish or to burn out the
breakaway. Alternatively, they may also seek to ensure the peloton does success if the breakaway does not contain
any GC contenders.
37
reduces the chances of success). In those situations where the benefits of free-riding are
smaller, such as during mountain stages, breakaways are more likely to be successful.
the sports context. This means we can explore how individual characteristics (e.g., dominance,
Emotions
understanding of human nature. As Simon (1983) emphasized, a general theory of thinking and
problem solving requires incorporating the influence of emotion. We have substantial evidence
decision-making. They have important functionalities that helped humans survive in meeting
threats, challenges, and opportunities. They provide guidance in providing rapid and reliable
acting as coordination tool (Keltner and Lerner 2010). Elster (1998) classified emotions into
social emotions (e.g., anger, hatred, guilt, shame, pride, admiration, or like), counterfactual
anticipatory emotions (e.g., fear or hope), realized emotions (e.g., grief or joy), and material
emotions (e.g., envy, malice, indignation, or jealousy). Material emotions are a particularly
interesting area when exploring emotions with sports data. There is substantial evidence that
your relative income situation is connected to positional concerns and can affect your happiness
or wellbeing or can trigger envy and jealousy (for a discussion, see Frey et al. 2013). One
empirical challenge is identifying the proper reference group, another is the ease with which
one can explore behavioural responses in the work environment due to positional concerns.
38
income differences, which is transparently available for some disciplines such as basketball,
social comparisons (Frey et al. 2013). Looking at basketball (NBA) and soccer (German
Bundesliga) Frey et al. (2013) find support that relative income disadvantage is correlated with
a decrease in individual performance. Such results are interesting from a policy perspective if
those consequences are also found in other work environments (e.g., how to design pay-for-
and Torgler (2008) show that closeness affects positional concerns when comparing different
reference groups using NBA data. The strongest effects of positional concerns on performance
are found among players with similar work profiles (playing the same position and being a
teammate) compared to other characteristics such geographical closeness, age, and experience
closeness.
Social capital
Social capital has widely explored how social capital creates human capital (Coleman 1998,
Paldam 2000), lubricates economic exchange (Putnam, 1983), builds networks, and creates
trust (Coleman 1988, Fukuyama 2003, Portes, 1998, Woolcock and Narayan 2000). While
sport has been examined through the lens of social capital theory, for the most part it has been
outward looking. Specifically, researchers have explored how sport is used to engage with
society to better the lives of players or the community, e.g., community development (Skinner
et al. 2008, Walseth 2007), health and wellbeing (Kawachi, et al. 2008, Kim et al. 2020),
participation rates (Kumar et al. 2018), or volunteerism (Darcy et al. 2014, Kay and Bradbury
2009). However, there seems to be very little research that looks inward to the effect of social
capital on the way that players interact with each other or use their social capital to be more
successful. Even though little research has looked internally, discussions have pointed to areas
39
that would be of great interest, for example, if social capital leads to more efficient transactions
through access to more information, it should result in coordinated activities for mutual benefit
and a reduction in the likelihood of opportunistic behaviour (Dasgupta 1999). The question
remains if this would be relevant in competitive interactions as well as those of mutual benefit?
Social capital theory has been explored in many real-world environments but is always
difficult to truly capture what is occurring, due to the amount of noise and other observable
events. However, it may be possible to explore such theories in sport, specifically in strategic
games where we could observe changes in player behaviour based on increased levels of social
capital. The additional advantage here is that the sporting environment enables all other factors
to be held constant. Poker tournaments is one sport in which we could observe players’
strategies and styles as they play against differing opponents where they have greater or fewer
interactions over time (interaction being a proxy for social capital, or at least social experience).
Some of this could be explained with information theory, where players with more information
on the competitors should result in more even or close competitions, and by extension it should
be less likely that players directly engage each other and pick hands on which to compete.
However, social capital would explain why these players engage in a form of coopetition where
rather than compete directly with each other, they collaborate with each other to remove other
One of the benefits of social capital in a strategic competitive environment like poker
could be that players who have built up capital between them may be able to compete at a lower
cost with each other than we would expect otherwise. For example, in multiplayer hands
players with social capital would not ‘push’ as hard at each other and may engage in a type of
Brandenburger 1997). Rather than a zero-sum outcome, players may be willing to engage in
this type of activity to lower losses even whilst competing. This theory has been very difficult
40
to explore in the real world as data where companies are engaged in coopetition are difficult to
obtain and few laboratory experimentations in economics have been published (see
The miniaturization of electronics was led by the invention of the transistor in 1947 by Bell
Labs, replacing the large vacuum tubes used up until that point. One of the unexpected side
effects of this process was enabling computer technology to be used beyond its intended goals.
This included the creation of the first ‘home’ computers, and computers being used in games
like chess (Los Alamos chess in 1957). For the most part, these initial offerings were clunky
and relatively easy to beat by human players, mostly due to the lack of a single winning strategy
and the near infinite number of move options available to players. This began to change in the
late 1970s with the Bell Labs offering (Belle) regularly beating Master level players. Over time
the games have become better, mostly through brute force processing, i.e., memorising
countless winning games and the pruning of irrelevant outcomes as moves are made. More
recent systems have deviated from this blunt approach in lieu of more nuanced systems using
artificial intelligence (AI) to play more like a human and anticipate moves. The first generation
of these systems began with Deep Blue (IBM), which lost to world champion Garry Kasparov
(4-2) in 1996, but after major upgrades beat Kasparov in 1997. Interestingly, the attempt to use
AI to play chess was the easier option (and possibly based on Western bias of chess being the
difficult game): Go is the much harder game for computers to solve. Go originated in China
sometime around 1000BC and is still widely popular today in eastern Asia. It is played on a
larger board (generally 17x17 or 19x19) with a greater number of possible moves. Estimates
41
of the number of legal moves7 available on a 19x19 board is approximately 2.08x10170. This is
vastly more than chess and has the additional problem that a player can move to any open space
on the board and is not restricted to the moves available to the remaining pieces. Given the
massive numbers of potential moves it is not possible to follow the same strategies used by
early Chess programs, thus Go requires a significant degree of intuition to pre-empt the
opponent’s strategy.
Historically, chess offered an ideal lab setting to test and explore cognitive processes
(for a detailed discussion see Rasskin-Gutman 2009). In his autobiography Models of My Life,
For most of us those of us who have not won million-dollar lotteries, or suffered sudden
crippling accidents life is much like the chess game. We make hundreds of choices among the
alternative paths that lie before us and, as the result of those choices, find ourselves pursuing
particular, perhaps highly specialized, careers, married to particular spouses, and living in
particular towns. Even if we point to a single event as the "cause" of one of these outcomes,
closer scrutiny of the path we have trod would reveal prefatory or preparatory events and
choices that made the occurrence of the critical event possible (p. 113).
Pioneers of AI such as Allen Newell, Herbert Simon, and others realized that chess could be
used as a vehicle to try simulating thought processes via computer programming8. A good
example is Allen Newell’s (1954) paper The Chess Machine: An Example of Dealing with
Complex Task by Adaptation. He was interested in the problem of playing good chess as an
ultra-complicated problem which requires thinking about mechanisms and programs necessary
to handle such problems. His approach was to use a broad collection of rules of thumb (e.g.,
chess principles to follow, measurements to make, what to do next, how to interpret those rules
7
See Tromp and Farnebäck (2016) Combinatorics of Go. Working Paper p.22 (Table 4). Accessed from
https://tromp.github.io/go/gostate.pdf
8
For a discussion on pioneering work on computer chess by Claude Shannon, Alan Turing, Alex Bernstein, and
his authors, see Newborn (1975).
42
of thumb etc.) and focus on describing how such a set of rules is defined and organized to
achieve solutions: “the intent to see if in fact an organized collection of rules of thumb can pull
itself up by its bootstraps and learn to play good chess” (p. 23). Newell and Simon (1972) also
derived insights from how individuals played chess, using a protocol in which persons were
asked to talk aloud, mentioning moves considered and aspects of the situation. Out of that
problem-behaviour they generated graphs that show the person’s searches in a space of chess
positions. They were fascinated to discover what an experienced chess player was able to see
or perceive when looking at a chess position. Chase and Simon (1973) concluded in their
analysis that superior performance is achieved from the ability to encode positions into larger
search guided by heuristics can compensate for being subjected to bounded rationality (Simon
1996).
Adriaan de Groot’s (1965) Thought and Choice in Chess9 was a pioneering book on
the cognitive processes of chess; outlining an attempt to understand the thought processes
underlying skilled chess playing by also using thinking aloud protocols with experimental
[A] subject was presented with an unfamiliar position taken from an actual tournament or match
game and asked to find and play a move as though he were engaged in a tournament game of
his own. The verbal report was to be as full and explicit a rendering of the subject’s thoughts
as possible, to include his plans, calculations, and other considerations leading to the move
that grand masters have a larger amount of chess knowledge that helped them to focus better
9
For follow up books see, e.g., Avni (2004) or Aagard (2004).
43
Herb Simon (1996) also stresses in his autobiography that he always celebrated
December 15, 1955 as the birthday of heuristic problem solving by computer, because it was
the moment when we knew how to demonstrate that a computer could use heuristic search
graduate student in a course I was then teaching in GSIA, I reacted to this achievement by
walking into class and announcing, "Over the Christmas holiday, Al Newell and I invented a
thinking machine." We were not slow in broadcasting our success. In a letter to Adriaan de
Groot, on January 3, 1956, I reported: You will be interested to learn, I think, that Allen Newell
and I have made substantial progress on the chess-playing machine except that at the moment
it is not a chess-playing machine but a machine that searches out and discovers proofs for
theorems in symbolic logic. The reason for the temporary shift in subject matter is that we
found the human eye and the portions of the central nervous system most closely connected
with it to be doing too much of the work at the subconscious level in chess-playing, and we
found this aspect of human mental process (the perceptual) the most difficult to simulate.
Hence, we turned to a problem-solving field that is less "visual" in its content. Two weeks ago,
we hit upon a procedure that seems to do the trick, and although the details of the machine
coding are not yet worked out, there seem to be no more difficulties of a conceptual nature to
be overcome. By using a human (myself) to simulate the machine operating by rule and without
discretion this simulated machine has now discovered and worked out proofs for the first twenty
five or so theorems in Principia Mathematica. The processes it goes through would look very
human to you, and corroborate in many respects the data you obtained in your chess studies (p.
2006).
and its ability to beat the best human player in the world was not programmed – AlphaGo
learned how to play and win by itself. This is machine learning AI at its best: the system was
not programmed in any way to play Go. Instead, it started by watching thousands of games and
10
Deepmind is a London based AI lab that is a subsidiary of internet juggernaut Google.
44
learnt the game through observation. Thus, AlphaGo is classified as a General AI. It was not
programmed or taught to do a task; it used its own ability to learn in order to gain information
about the game. This AI revolution demonstrated that not only can machines learn to imitate
human behaviours but can also anticipate them, and because it is a General AI it can potentially
What happens next should also be very interesting for behaviouralists. If General AI
can learn to play any game (once we provide it with some framework) then the scope for its
interaction with humans and our response may be astounding. One of the general issues we
have had running experimental economics was the absence of realism (the abstractness) and
our inability to create realistic experimental conditions where we could elicit real human
responses and behaviours. The use of computing in experiments (over pen and paper) means
that we can observe every aspect of an experiment. By adopting General AI, we could start to
run experiments that might be otherwise impossible with real people. For example, high-cost,
high-risk, or life-and-death situations experiments that would be too dangerous or stressful for
the impact of any number of changes to how sports are played using AI players (e.g., rules
changes) or learn human behaviours that are difficult for most of us to understand.
Poker AI
Poker is often thought of as simply a game of probabilities or risk, and as such it should be
easy to generate unbeatable computer players. However, much like the game of Go, it is the
human elements of the game that make it so hard to emulate human players. One of the central
skills of the game is bluffing (misleading opponents), which is not only about the players’
ability to control tells (ticks that give away the bluff) but also the correct betting sequences. As
early as 1998, Billings et al. (1998) flagged poker as a potential testbed for AI describing it as:
45
a game of imperfect knowledge, where multiple competing agents must deal with risk
management, agent modelling, unreliable information and deception, much like decision-
This prediction become a reality when the poker program dubbed ‘Pluribus’ learned to play
six-player no-limit Texas Hold’em and performed significantly better than humans over the
course of 10,000 hands of poker (Brown and Sandholm 2019). This demonstrated that a
General AI is able to learn just about everything we can think of throwing at it; thus, the
AI and eSport
While the idea of eSport is relatively new to most people, it has been around in some form
since at least 1972, through a Space Invaders tournament with over 10,000 contestants
(Picknell 2019)11. eSports are one of the few sports not based on physical attributes such as
strength, but on reflex speed and mental acuity. This means that size and strength are no longer
factors, and everyone, regardless of age or gender, can compete on an even playing field. Even
so, there still is some inherent bias as computer games have long been seen as something that
boys do rather than girls, resulting in a much higher pool of male players versus female on a
competitive level. There also appears to be a fundamental difference in the type of games
preferred by male and female players. While the economics of the business (prize money,
sponsorships, viewership, etc.) have been explored, the players and their decision making have
remained relatively untouched. eSport represents an untapped field for analysis and potentially
development of specific types of choices and behaviours made by players. That is, modules
11
Accessed from https://learn.g2.com/esports
46
and game designs could be specifically set up to test decision-making, collaboration, altruism,
Another major advantage of eSport tournaments is that they are played live or live
streamed players are seen, while the online version of the games are played anonymously. This
avatar, and in the other the player is an identifiable person. This poses some interesting
questions about how decision-making, and behaviour could be impacted by information and
identity, i.e., do players change behaviour if all they know is an avatar? Some previous research
has indicated that players endow their avatars with their own beliefs and social norms, but there
is also a likelihood that some players use their avatar as an aspirational representation of
themselves (Praetorius and Görlich 2020, Ratan 2020, Wiederhold 2013). This could include
choosing avatars of a different gender or race or choosing to behave in a matter that they would
like to in the real world but feel for whatever reason they are unable. Running experiments in
such an environment would enable participants to be much more invested in the outcomes and
may elicit a more realistic response than we would observe in purely laboratory experiments.
Another advantage of eSports is what Slovic (2010) describes as the ‘feeling of risk’.
These digital environments are able to manipulate and measure sensory input and alter the
perceived and actual levels of risk faced by players. Just like experimentalists do in a laboratory
setting, programmers would be able to test the perceptions of risk versus actual risk by control
or set the probability of certain events occurring and explore player reactions and decision-
making.
Conclusions
Throughout this book chapter we have tried to show how powerful sports data can be in
understanding questions that are at the core of behavioural economics. We sought to show how
47
scholars have advanced knowledge by finding new avenues through which they might improve
on previous papers that used sports data, by finding other areas of exploration within the sports
environment. We have also tried, without searching for completeness, to discuss throughout
the paper what else can be explored in the future in more detail. When exploring biases Camerer
First, establishing systematic mistakes using naturally occurring data is very difficult. Of
course, this does not mean we should avoid such hard work and exploit the superior control of
the lab; it just means that the standard of proof for mistakes outside the lab is high, and should
be. It is also likely that important field anomalies will not be established by a single study, but
by a series of studies which build on earlier results. Behavioral economists have learned that
the best way to win an argument about the existence of systematic mistakes is to take
complicated rationalizations offered by critics seriously (no matter how cockamamie they are),
Using sports data is a strategy to move towards that direction when working with naturally
occurring data. Sports data allow us to use a variety of different datasets and look at different
sport disciplines when exploring aspects in the area of behavioural economics. Our aim was to
show that sports data are a valuable tool of thought and exploration in the interplay between
speaking to theorists and searching for facts, which is particularly important when challenging
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