Stankovic, J. J., Marjanovic, I., Drezgic, S., & Popovic, Z. (2021).
The Digital Competitiveness of
                        European Countries: A Multiple-Criteria Approach. Journal of Competitiveness, 13(2), 117–134. https://doi.
                        org/10.7441/joc.2021.02.07
                The Digital Competitiveness of European Countries:
                A Multiple-Criteria Approach
                ▪▪ Jelena J. Stankovic, Ivana Marjanovic, Sasa Drez gic, Zarko Popovic
                Abstract
                High-quality digital infrastructure is the basis of almost every sector of a modern and innovative
                economy and society. As a part of the overall competitiveness concept, digital competitiveness
                is a multidimensional structure that encompasses various factors of the process of digital
                transformation through the ability of learning and application of new technologies, technology
                factors that enable digital transformation, and digital readiness factors that assess the preparedness
                of an economy and citizens to assume digital transformation. The paper aims to propose a
                methodology for measuring digital competitiveness using a composite index approach including
                a variety of various indicators. To assess the digital competitiveness of European countries, a
                multi-criteria analysis was applied in a two-stage procedure integrating CRITIC and TOPSIS
                as weighting and aggregation methods. The sample includes thirty European countries and the
                research is based on thirteen indicators provided in the database Eurostat Digital Economy
                and Society. In addition, a ranking of sample countries according to digital competitiveness
                is presented. Finally, a cluster analysis was conducted to examine relations between digital
                competitiveness and several economic performances such as GDP pc, labour productivity and
                employment rates. The results indicate that Nordic countries have achieved the highest digital
                competitiveness, while most Eastern European countries still lag behind.
                Keywords: digital competitiveness, CRITIC method, TOPSIS method, cluster analysis
                JEL Classification: C38, C44, O52, L86
                                                                                                             Received: October, 2020
                                                                                                           1st Revision: April, 2021
                                                                                                               Accepted: April, 2021
                1. INTRODUCTION
                Constant technological progress and the constant acceleration of the pace of technological
                change have become basic features in countries around the world. According to projections,
                by the end of 2020, one million new devices were set be available online every hour (Yoo et al.,
                2018). The impact of the Internet of Things and digitization is pervasive. The application of ICTs
                (information and communication technologies) can transform the way businesses operate and how
                people live as well as drive global innovation. However, the rapid emergence of new technologies
                creates many new challenges. The risks inherent in new technologies further complicate the
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            problems facing policymakers. The role of government is becoming more and more important,
            as it is necessary to strike a balance between protecting the country’s fundamental interests
            on the one hand and the ability to ensure national competitiveness and accelerate economic
            growth on the other through the use of new technologies. There is evidence that digitization
            can enable countries to maintain global competitiveness, increase GDP, stimulate innovation
            and create jobs (Yoo et al., 2018). It is recognized that ICTs play a crucial role in connecting
            people and communities, increasing innovation and productivity, improving living standards,
            strengthening competitiveness, supporting economic and social modernization, and reducing
            poverty worldwide.
            The paper aims to examine the level of digital competitiveness of European countries by
            proposing a methodology for a composite index of digital competitiveness using multi-criteria
            decision-making methods in the process of aggregation data. In the primary step of the creation
            of a composite index, the proposed methodology determines the relative importance of indicators
            in the model using an objective statistical approach based on decision matrix data. In this
            segment, the paper contributes to existing methodologies which measure digital competitiveness
            by aggregation based on a linear combination, aggregation with equal criteria importance, or
            subjectively determined weighting coefficients. The method of choice for objective importance
            assessment of single indicators within the composite index is CRiteria Importance through
            Intercriteria Correlation (CRITIC). The methodology applied to aggregate weighted data
            is Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS). Additionally,
            the sub-objective of the analysis is to identify countries with similar digital competitiveness
            and economic performances. The basic hypothesis is that the countries with better economic
            performance have higher levels of digital competitiveness.
            The paper is structured as follows: In the first section, the role of the digital economy for
            competitiveness is presented, accompanied by methods for assessment of ICT development
            impact on country economic performances. In the second section, the research methodology,
            model development and the data used are described, while in the third section, the research results
            and a discussion of results are offered. Concluding remarks pointing to scientific contribution
            and further research directions are put forth in the last section.
            2. THE IMPORTANCE OF THE DIGITAL COMPETITIVENESS
               FOR THE ECONOMY
            The digital economy and digital competitiveness are among the most commonly used terms
            referring to the socio-economic development perspectives of contemporary society. In a broader
            sense, the digital economy describes the development of a technological society and implies
            the widespread use of ICTs in all spheres of human activity. ICTs enable people to perform
            ordinary tasks more efficiently and have emerged as a response to societal needs (Sendlhofer
            & Lernborg, 2018). In addition to the impact on individuals, ICTs also have an important
            impact on companies, since they provide new opportunities for companies and facilitate the
            worldwide availability of their products and services (Elia et al., 2016). ICTs have contributed to
            transforming the nature and handling of the uncertainties typical for the entrepreneurial process
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                and its outcomes (Nambisan, 2017). The advantages of applying ICTs in companies are numerous
                (Rossato & Castellani, 2020): improved efficiency and effectiveness of business processes,
                improved understanding of user experience, increased creation and transfer of knowledge,
                increased awareness of the cultural value of the company’s heritage, and the development of
                state-of-the-art employee skills. The advent of the digital economy was facilitated by the digital
                revolution, also known as digitalization, which represents a transition from analogue or physical
                technologies to digital data systems (Dufva & Dufva, 2019).
                Carlsson (2004) states that digitalization of information, combined with the Internet, creates
                a wide range of various combinations of information and knowledge use through which the
                application of modern technologies and the availability of greater technical possibilities can be
                turned into economic possibilities. The Internet of Everything, aided by economies of scale
                and platforms such as consumer electronics, mobile devices, and urban infrastructure, enable
                the wide availability of services to consumers as well as easier access to potential consumers
                (Leviäkangas, 2016).
                The relationship between ICTs and economic growth is an issue of particular interest in terms
                of both theory and practice. There are two prevailing understandings about the impact of ICTs
                application on economic growth (Thompson Jr & Garbacz, 2011): direct impact, which implies
                productivity improvements resulting from the application of ICTs, and indirect impact, which
                means the materialization of externalities resulting from the application and development of
                ICT. Several studies have reported a positive link between the development and implementation
                of ICTs and economic growth (Myovella et al., (2020). Portillo et al., 2020; Vu et al., 2020;
                Bahrini & Qaffas, 2019; Nair et al., 2020). Evidence indicates that ICTs improve various aspects
                of productivity (Skorupinska & Torrent-Sellens, 2017; Corrado et al., 2017; Pieri et al., 2018;
                Kılıçaslan et al., 2017, Ivanović-Đukić, et al., 2019; Haller & Lyons, 2019;). The digitalization and
                digital economy contribute to productivity growth in many ways (Wyckoff, 2016): by creating
                new innovative businesses and reducing the number of businesses with outdated, non-innovative
                operations; enabling smarter, more efficient use of labour and capital to create so-called multi-
                factor productivity growth through which even older firms can improve; introducing new
                opportunities and services for individuals previously removed from the global economy (such
                as farmers and local producers); and enhancing the efficiency of inventory management and
                shipping.
                Examining the impact of ICTs on economic growth is of great importance to policymakers, as
                it provides them with guidance for creating development strategies. Nevertheless, it should be
                borne in mind that a large number of indicators of digital development and competitiveness
                exist, and that most research uses only some of these as proxies, thus all aspects of digital
                competitiveness have not been covered. The following are most commonly used as proxies in
                the literature: mobile and fixed broadband (Thompson Jr & Garbacz, 2011), broadband speed
                (Mayer et al., 2020), fixed and mobile phone subscriptions (Albiman & Sulong, 2017), and digital
                subscriber line broadband services (Haller & Lyons, 2019), investments in ICT (Niebel, 2018).
                For a detailed overview of digital development proxies, see Vu et al. (2020).
                Measuring and comparing countries based on digital competitiveness is a topical issue, where
                several methodologies for quantification have been proposed. World Economic Forum has
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            offered the Networked Readiness Index (NRI) for measuring the propensity of a country to
            take advantage of the opportunities offered by ICTs (NRI, 2019). This index measures the
            performance of economies in using ICTs to boost competitiveness, innovation and well-being.
            Another methodology is the Digital Economy and Society Index (DESI, 2019) developed by the
            European Commission. It is a complex index that summarizes relevant indicators on European
            digital performance and tracks the development of EU Member States in digital competitiveness.
            In 2017 the DECA (Digital Economy Country Assessment) program was developed and tested
            (Ashmarina et al., 2020). DECA is a multivariate model that involves analysing the readiness,
            use and impact of digital transformation on national socio-economic progress. The DECA
            methodology is focused on assessing the current level of development of the digital economy
            to identify critical shortcomings, challenges and opportunities for future growth, as well as
            areas that require more careful analysis. The United Nations International Telecommunication
            Union published the ICT Development Index (IDI, 2018) aimed at comparing and monitoring
            the development of ICT between countries and over time. E-government Development Index
            (EGDI, 2021) was developed to examine the development of e-government in the member
            states of the United Nations. Additionally, several authors have proposed composite indices of
            digitalization and digital competitiveness (Yoo et al., 2018; Milenkovic et al., 2016; Nair et al.,
            2020; Ali et al., 2020a; Ali et al., 2020b).
            The construction of composite indices has specific critical steps on which the whole process
            depends and which are primarily related to the determination of appropriate weighting and
            aggregation methods (Saisana & Tarantola, 2002). When it comes to weighting methods when
            constructing composite indices, they can be grouped into three main categories (El Gibari et
            al., 2019): equal weighting, data-based methods, and participation-based methods. The equal
            weighting method has the least computational complexity but has drawbacks reflected in the
            loss of information (Nardo et al., 2005). The participation-based methods incorporate intuition,
            the subjective system of values and knowledge of the decision-maker or group, which is also a
            disadvantage of this approach because the weighting coefficients depend on their subjective
            assessment and perception. The data-based methods perform criteria weights determination
            based on data from the decision matrix, which eliminates the subjectivity of decision-makers,
            and weight determination is performed using mathematical and statistical methods based on
            information from the model. Yet, despite the apparent shortcomings, most of the stated indices
            of digital competitiveness use equal weights when determining weights (Pérez-Castro et al.,
            2021).
            When it comes to aggregation methods, criteria can be aggregated into a composite index in
            several ways: linear aggregation, geometric aggregation or multicriteria analysis. Each method
            implies different assumptions and has specific consequences (Nardo, 2005). Still, it should be
            noted that one of the advantages of multicriteria analysis methods is that the application of
            these methods leads to the creation of composite indices that are non-compensatory or partially
            compensatory.
            The need to create an adequate composite measure for assessing and monitoring the digital
            competitiveness of countries stems from the fact that accelerated technological development
            imposes the urge to make effective strategic decisions related to the digital future, as well as
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                to assess the level of digital development and competitiveness of countries (Alam et al., 2018).
                Having in mind the diversity and variety of indicators, it is desirable to create a unique composite
                indicator of digital development and competitiveness that will include various aspects of
                digitalization. The digital economy and digital competitiveness have a multidimensional nature
                and can be defined as a multiple-criteria phenomenon (Balcerzak & Bernard, 2017). Therefore,
                this paper aims to create the composite index for the measurement of digital competitiveness on
                the sample of European countries using multi-criteria analysis methods.
                The contribution of the paper is reflected in the creation of a new composite index of digital
                competitiveness, which, unlike most existing composite indices, uses objectively determining
                weighting coefficients. Namely, most of the proposed composite indices for measuring digital
                competitiveness give equal importance to the indicators that make up the composite index, which
                makes some indicators overestimated or underestimated. The proposed model uses an objective
                approach to determining weights, which determines the weights of criteria in a multi-criteria
                model based on data from the decision matrix, thus eliminating the subjectivity of decision-
                makers and determining weights based on information from the model itself. To summarize,
                the methodology used in this analysis makes three contributes to the construction of a complex
                digital competitiveness index: (i) demonstrates the possibility of creating objective data-based
                weights of criteria by which the composite index is aggregated; (ii) points to the possibility of
                weights to provide adequate information to policymakers regarding the identification of priority
                areas when it comes to digital competitiveness of countries; and (iii) leads to the elimination
                of decision-maker subjectivity that may result in biased results. In addition, most of the above-
                mentioned composite indices were created by aggregating data from diverse sources. However,
                the use of data from different sources can jeopardize the correctness and reliability of the data
                used, which can inadvertently affect the obtained results (Akande et al., 2019). To obtain reliable
                and verifiable results, it is desirable to use data from a single, dependable database, such as
                Eurostat. Therefore, only data from the Eurostat database on the digital economy and society
                were used in this paper to assess the digital competitiveness of European countries.
                3. RESEARCH OBJECTIVE, METHODOLOGY AND DATA
                The main objective of this paper is to assess the digital competitiveness of European countries
                using a two-step analysis. In the first step, the weighting coefficients of the criteria will be
                obtained using CRITIC methods. In contrast, in the second step, the assessment and ranking
                of countries according to the achieved level of digital competitiveness will be performed using
                TOPSIS methods. Additionally, the sub-objective of the paper is to identify the groups of
                European countries with similar digital competitiveness and economic performances.
                3.1 CRITIC method
                CRITIC (CRiteria Importance Through Intercriteria Correlation) was proposed by Diakoulaki
                et al. (1995) as one of the possible ways to determine the objective values of the weighting
                coefficients of criteria. The method is based on the difference and the conflict between the
                criteria inherent to multi-criteria decision-making problems. The CRITIC method represents
                a correlation method where the process of determining the criteria weights requires the use of
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            standard deviation of the normalized criteria values, as well as the correlation coefficients of
            all pairs of criteria (Žižović et al., 2020). The CRITIC method algorithm consists of six steps
            (Diakoulaki et al., 1995):
            Step 1: Normalization of criteria values using the linear normalization relations depending on
            the type of criteria:
            r ij = (xij- xijmin)/(xijmax - xijmin)                                                              (1)
            r ij = (xijmax - xij)/(xijmax - xijmin)                                                             (2)
            wherein xijmax = max(i)xij and xijmin = min(i)xij , i = 1, 2,…,m, j = 1, 2,…, n.
            Step 2: Determination of the standard deviation σj of each vector rj in the normalized decision
            matrix.
            Step 3: Construction of a symmetric matrix with elements R ij representing the correlation
            coefficients between each pair of normalized criteria in the model.
            Step 4: Determination of the measure of conflict between criteria:
            ∑nj=1 (1-R ij)                                                                                      (3)
            Step 5: Determination of the amount of information Cj emitted by the jth criterion:
            Cj = σ j ∑nj=1 (1-R ij)                                                                             (4)
            The larger the value of Cj, the greater is the amount of information contained in a given criterion,
            and, consequently, that criterion has greater relative importance.
            Step 6: Determination of the criteria weighs using the relation:
            wj = Cj/( ∑nj=1Cj )                                                                                 (5)
            3.2 TOPSIS method
            TOPSIS represents an acronym for The Technique for Order of Preference by Similarity to Ideal
            Solution. It is a multi-criteria analysis method developed by Hwang & Yoon (1981). The essence of
            this method is that the optimal solution should be closest to the Positive Ideal Solution (PIS) and
            farthest from the Negative Ideal Solution (NIS) in a geometric sense (Chen et al., 2020). The ideal
            solution is the point where the utility for the decision-maker is greatest, that is, the point where the
            value of the revenue criteria is the highest. At the same time, the value of the expenditure criteria
            is the lowest. The ideal solution is usually not achievable, but all multi-criteria analysis methods
            tend to keep the optimal solution as close as possible to the ideal one. The main advantage of
            the TOPSIS method is its low mathematical complexity and ease of use (Rajak & Shaw, 2019). In
            addition, the attractiveness of the TOPSIS method is enhanced by the fact that it requires minimal
            inputs from decision-makers, i.e., the only subjective data required are criteria weight (Olson, 2004).
            The TOPSIS method can be represented by the following algorithm (Yoon & Hwang, 1995; Kuo,
            2017):
            Step 1. The beginning of the TOPSIS method algorithm requires the determination of a
            normalized decision matrix with rij coefficients, whereby rij coefficients are determined using
            the following relation:
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                                𝑥𝑥𝑖𝑖𝑖𝑖
                 𝑟𝑟𝑖𝑖𝑖𝑖 =                   , 𝑖𝑖 = 1,2 … 𝑚𝑚, 𝑗𝑗 = 1,2 … 𝑛𝑛                                                                                                    (6)        (6)
                            √∑𝑚𝑚     2
                              𝑖𝑖=1 𝑥𝑥𝑖𝑖𝑖𝑖
                𝑣𝑣𝑖𝑖𝑖𝑖 =2.𝑟𝑟𝑖𝑖𝑖𝑖
                Step        In∙ this
                                 𝑤𝑤𝑗𝑗 step, the coefficients v that form a preferentially normalized matrix are calculated.             (7)
                                                                         ij
                The
                𝐴𝐴 =calculation
                   ∗
                         {𝑣𝑣1 , 𝑣𝑣2 , … , of
                               ∗  ∗
                                          𝑣𝑣𝑗𝑗 ,the
                                             ∗
                                                 … , 𝑣𝑣v𝑛𝑛ij ,coefficients
                                                         ∗
                                                              } = {(max 𝑣𝑣is     done by applying the relation:
                                                                            𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽1 ) ∧ (min 𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽2 ), 𝑖𝑖 = 1,2, … 𝑚𝑚} (8)
                                                                             𝑖𝑖                               𝑖𝑖
                vij −= r ij∙wj𝑥𝑥	
                               −𝑖𝑖𝑖𝑖 −                              −               −                                                                                                       (7)
                𝑟𝑟𝐴𝐴𝑖𝑖𝑖𝑖 = = {𝑣𝑣1𝑥𝑥𝑖𝑖𝑖𝑖, 𝑣𝑣2 ,,…          𝑖𝑖 =, 𝑣𝑣𝑗𝑗1,2 , ……, 𝑣𝑣𝑚𝑚,𝑛𝑛 ,𝑗𝑗} = = 1,2
                                                                                                {(min  … 𝑛𝑛𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽1 ) ∧ (max 𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽2 ), 𝑖𝑖 = 1,2, … 𝑚𝑚}               (6)
                                                                                                                                                                                       (9)
                  𝑟𝑟       =
                Step 3.√∑The
                      𝑖𝑖𝑖𝑖   √∑𝑚𝑚    𝑖𝑖=1     𝑥𝑥  2 , 𝑖𝑖 = 1,2 … 𝑚𝑚, 𝑗𝑗 = 1,2 …                        𝑖𝑖 𝑛𝑛
                                                   third step of the TOPSIS method algorithm involves determining the PIS and the
                                                                                                                                     𝑖𝑖                                                (6)
                                       𝑚𝑚 𝑖𝑖𝑖𝑖     2
                                       𝑖𝑖=1 𝑥𝑥𝑖𝑖𝑖𝑖
                       ∗                 𝑛𝑛                             ∗ 2
                NIS.
                𝑆𝑆         = The
                             √     ∑
                𝑣𝑣𝑖𝑖𝑖𝑖𝑖𝑖 = 𝑟𝑟𝑖𝑖𝑖𝑖 ∙𝑗𝑗=1     elements
                                             𝑤𝑤𝑗𝑗 𝑖𝑖𝑖𝑖 − 𝑣𝑣of
                                                   (𝑣𝑣                 𝑗𝑗 )the ,PIS   𝑖𝑖 = v1,2j and
                                                                                                * … 𝑚𝑚     the NIS vj- are determined using relations:                               (10)
                                                                                                                                                                                       (7)
                  𝑣𝑣𝑖𝑖𝑖𝑖 = 𝑟𝑟𝑖𝑖𝑖𝑖 ∙ 𝑤𝑤𝑗𝑗                                                                                                                                               (7)
                       ∗            ∗ ∗                          ∗              ∗
                𝐴𝐴−∗ = {𝑣𝑣1∗, 𝑛𝑛𝑣𝑣2∗, … , 𝑣𝑣𝑗𝑗∗, …−, 𝑣𝑣2𝑛𝑛∗, } = {(max 𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽1 ) ∧ (min 𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽2 ), 𝑖𝑖 = 1,2, … 𝑚𝑚}                                                  (8) (8)
                𝑆𝑆𝐴𝐴𝑖𝑖 = {𝑣𝑣   √∑    1 ,𝑗𝑗=1 𝑣𝑣2 ,(𝑣𝑣  …𝑖𝑖𝑖𝑖, 𝑣𝑣−𝑗𝑗 ,𝑣𝑣…𝑗𝑗 ,)𝑣𝑣𝑛𝑛 , }, 𝑖𝑖=={(max1,2𝑖𝑖 … 𝑣𝑣𝑚𝑚𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽1 ) ∧ (min
                                                                                                                                 𝑖𝑖 𝑣𝑣 |𝑗𝑗 ∈ 𝐽𝐽 ), 𝑖𝑖 = 1,2, … 𝑚𝑚}
                                                                                                                                           𝑖𝑖𝑖𝑖          2
                                                                                                                                                                                     (11)
                                                                                                                                                                                       (8)
                                                                                                    𝑖𝑖                            𝑖𝑖
                       −              − −                           −               −
                𝐴𝐴 − = {𝑣𝑣1𝑥𝑥−𝑖𝑖𝑖𝑖, 𝑣𝑣2−, … , 𝑣𝑣𝑗𝑗−, … , 𝑣𝑣𝑛𝑛−, } = {(min 𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽1 ) ∧ (max 𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽2 ), 𝑖𝑖 = 1,2, … 𝑚𝑚}                                                (9)
                  𝑟𝑟𝐴𝐴𝑖𝑖𝑖𝑖 =
                           = {𝑣𝑣1 , 𝑣𝑣2 , ,…               𝑖𝑖 =, 𝑣𝑣𝑗𝑗1,2 , ……, 𝑣𝑣𝑚𝑚,𝑛𝑛 , 𝑗𝑗} =   {(min
                                                                                             = 1,2     𝑖𝑖 𝑛𝑛𝑣𝑣 |𝑗𝑗 ∈ 𝐽𝐽 ) ∧ (max
                                                                                                       …         𝑖𝑖𝑖𝑖       1
                                                                                                                                     𝑖𝑖      𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽2 ), 𝑖𝑖 = 1,2, … 𝑚𝑚}  (6) (9) (9)
                                                                                                        𝑖𝑖                            𝑖𝑖
                               √∑𝑚𝑚    𝑖𝑖=1
                                                   2
                                               𝑥𝑥𝑖𝑖𝑖𝑖
                       ∗                 𝑛𝑛                             ∗
                𝑆𝑆𝑖𝑖∗ = √∑𝑗𝑗=1                                              2
                                                  (𝑣𝑣𝑖𝑖𝑖𝑖 − 𝑣𝑣𝑗𝑗∗) , 𝑖𝑖 = 1,2 … 𝑚𝑚                                                                                                  (10)
                  𝑆𝑆
                  𝑣𝑣𝑖𝑖𝑖𝑖𝑖𝑖 =       ∑∙𝑛𝑛𝑗𝑗=1                          𝑣𝑣𝑗𝑗 )2 , 𝑖𝑖 = 1,2 … 𝑚𝑚                                                                                         (10)
                where      =√  𝑟𝑟J𝑖𝑖𝑖𝑖
                                  1 𝑥𝑥        a 𝑗𝑗(𝑣𝑣
                                        is𝑖𝑖𝑖𝑖𝑤𝑤    set𝑖𝑖𝑖𝑖of−revenue                   criteria and J2 is a set of expenditure criteria.                                              (7)
                𝑟𝑟𝑖𝑖𝑖𝑖− =                 𝑛𝑛 ∗2
                                                        ,  𝑖𝑖 =     1,2  − 2∗
                                                                             …    𝑚𝑚,    𝑗𝑗  =  1,2    …   𝑛𝑛                                                                          (6)
                𝑆𝑆𝐴𝐴𝑖𝑖− =
                Step       =4.√√    ∑
                               {𝑣𝑣∑The
                                      𝑚𝑚
                                                    ,(𝑣𝑣
                                           𝑛𝑛𝑣𝑣𝑥𝑥2main …𝑖𝑖𝑖𝑖, 𝑣𝑣− ∗
                                                                 step𝑣𝑣𝑗𝑗−,)of     , }, 𝑖𝑖=TOPSIS
                                                                             𝑣𝑣2𝑛𝑛the       ={(max
                                                                                               1,2 … 𝑣𝑣𝑚𝑚  method                                                                   (11)
                                                                                                            𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽1involves
                                                                                                                           ) ∧ (mindetermining
                                                                                                                                         𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽2 ), 𝑖𝑖 the  distance
                                                                                                                                                                        … 𝑚𝑚} of an alternative
                        ∗             ∗
                                         ,𝑗𝑗=1
                                     1𝑖𝑖=1        𝑖𝑖𝑖𝑖           𝑗𝑗 , …                                                                                         = 1,2,                 (8)
                  𝑆𝑆𝑖𝑖 = √∑                𝑗𝑗=1(𝑣𝑣𝑖𝑖𝑖𝑖 − 𝑣𝑣𝑗𝑗 )                        , 𝑖𝑖 = 1,2𝑖𝑖 … 𝑚𝑚                          𝑖𝑖                                                 (11)
                from
                𝑣𝑣𝑖𝑖𝑖𝑖− =the
                          𝑟𝑟𝑖𝑖𝑖𝑖 −∙PIS
                                    𝑤𝑤𝑗𝑗−and the      NIS. The relation for determining the distance between the alternative              (7) and
                 𝐴𝐴 PIS
                the     = {𝑣𝑣  is1 ,given   , 𝑣𝑣𝑗𝑗− , … , 𝑣𝑣𝑛𝑛− , } = {(min 𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽1 ) ∧ (max 𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽2 ), 𝑖𝑖 = 1,2, … 𝑚𝑚}
                                     𝑣𝑣2 , …by:                                                                                           (9)
                                                                         𝑖𝑖                        𝑖𝑖
                 𝐴𝐴∗ = {𝑣𝑣1∗ , 𝑣𝑣2∗ , … , 𝑣𝑣𝑗𝑗∗ , … , 𝑣𝑣𝑛𝑛∗ , } = {(max 𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽1 ) ∧ (min 𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽2 ), 𝑖𝑖 = 1,2, … 𝑚𝑚}                                          (8)
                 𝑆𝑆𝑖𝑖∗ = √∑𝑛𝑛𝑗𝑗=1(𝑣𝑣𝑖𝑖𝑖𝑖 − 𝑣𝑣𝑗𝑗∗ )2 , 𝑖𝑖 = 1,2𝑖𝑖… 𝑚𝑚                                                                                                        (10) (10)
                                                                                               𝑖𝑖
                    −      − −                   −            −
                 𝐴𝐴 = {𝑣𝑣1 , 𝑣𝑣2 , … , 𝑣𝑣𝑗𝑗 , … , 𝑣𝑣𝑛𝑛 , } = {(min 𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽1 ) ∧ (max 𝑣𝑣𝑖𝑖𝑖𝑖 |𝑗𝑗 ∈ 𝐽𝐽2 ), 𝑖𝑖 = 1,2, … 𝑚𝑚}                                               (9)
                                                                                  𝑖𝑖                               𝑖𝑖
                   −               𝑛𝑛           − 2
                𝑆𝑆𝑖𝑖 =
                On    the√∑  𝑗𝑗=1(𝑣𝑣hand,
                          other      𝑖𝑖𝑖𝑖 − 𝑣𝑣𝑗𝑗the
                                                 ) relation
                                                     , 𝑖𝑖 = 1,2
                                                              for… determining
                                                                   𝑚𝑚          the distance between the alternative(11)
                                                                                                                     and the
                𝑆𝑆𝑖𝑖∗ = √∑𝑛𝑛𝑗𝑗=1(𝑣𝑣𝑖𝑖𝑖𝑖 − 𝑣𝑣𝑗𝑗∗ )2 , 𝑖𝑖 = 1,2 … 𝑚𝑚                                                (10)
                NIS is given by:
                 𝑆𝑆𝑖𝑖− = √∑𝑛𝑛𝑗𝑗=1(𝑣𝑣𝑖𝑖𝑖𝑖 − 𝑣𝑣𝑗𝑗− )2             , 𝑖𝑖 = 1,2 … 𝑚𝑚                                                                                             (11)       (11)
                Step 5. In this step, the approximation index (Ci*) is determined, that is, the relative proximity of
                the considered alternative to the PIS according to the relation:
                Ci* = (Si-)/(Si*+Si- ), i = 1,2,….m                                                                                                                                    (12)
                Step 6. In the final step of the TOPSIS method, alternatives are ranked based on the approximation
                index in descending order to obtain the best alternative.
                3.3. Cluster analysis
                Cluster analysis represents one of the most proficient methods for data processing used to
                identify homogeneous sets within a heterogeneous group (Fox et al., 1991). It is an approach
                used to detect complex relationships between variables. Cluster analysis involves grouping a set
                of objects in a way that the objects in one group are similar to each other, and at the same time,
                differ from objects in other groups (Esmalifalak et al., 2015). The ease of use of cluster analysis
                is the reason for the popularity of this approach. Variables applied in the cluster analysis have the
                same importance (there are no dependant and independent variables) since the purpose of cluster
                analysis is to recognize patterns among variables rather than predicting a particular value. Each
                object in the cluster analysis represents a separate point in multidimensional space defined by the
                values of its attributes, where the similarity between the two objects is determined based on their
                                                                                                                                                                                         123
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            distance (Zeng et al., 2008). The clustering process aims to identify similarities in the variable
            structure and create homogeneous groups of objects based on the identified similarities. Several
            cluster procedures can be identified, whereby an agglomerative hierarchical cluster analysis will
            be applied in this paper. The essence of this approach is that it starts with each of the n objects
            being a cluster, with similar objects being merged in each subsequent step until each of the
            objects is deployed into relatively homogeneous groups. Therefore, the agglomerative clustering
            strategy is considered a bottom-up strategy since each object represents a separate cluster at the
            beginning. Then the cluster pairs merge as the hierarchy increases (Chakraborty et al., 2020).
            The first step in the cluster analysis is the determination of the distance between objects. There
            are various methods for determining the distance between objects (such as Euclidean distance,
            squared Euclidean distance, Manhattan distance, Maximum distance, Mahalanobis distance),
            whereby squared Euclidean distance will be used in this paper. In the next step, the grouping
            of objects is performed. There are various agglomeration methods (Olson, 1995), whereby in
            the paper, Ward’s procedure will be applied. The essence of this method is not to calculate
            the distance between the clusters but to maximize the homogeneity within the cluster. Ward’s
            method has several advantages (Ünal & Shao, 2019): it allows maximizing homogeneity within
            the cluster, allows minimizing cluster heterogeneity, and leads to the robustness of results. The
            outcomes of hierarchical clustering are usually represented in the form of a dendrogram which
            illustrates the clusters as the nodes of a tree-like data structure (Chakraborty et al., 2020).
            3.4 Data and model development
            Digital competitiveness is estimated for a sample of 30 European countries based on data
            regarding the digital economy and society obtained from the Eurostat Digital Economy and
            Society database for the year 2019 (Eurostat, 2020a). As data on the ICT sector were not available
            for all countries, nor for 2019, indicators related to the ICT sector were not taken into account in
            the analysis, as the sample size would be significantly reduced. Therefore, the indicators used to
            assess digital competitiveness include 13 indicators grouped into three categories.
            The first category, named ICT usage in households and by individuals, encompasses indicators
            such as the percentage of individuals that has used the Internet in the last three months (Internet
            use), the percentage of households with Internet access (Connection to the Internet and computer
            use), the percentage of individuals that has used the Internet to obtain the services of public
            institutions or administrative entities within last 12 months (E-government), the percentage
            of individuals that used the Internet to purchase products or services in the last three months
            (E-commerce) and the percentage of individuals that has used computers, laptops, smartphones,
            tablets or other portable devices at work (ICT usage at work). The second category referred to
            as ICT usage in enterprises includes indicators related to the percentage of enterprises that have
            a website (Website and use of social media), the percentage of enterprises with ERP software
            package to share information between different functional areas (E-business), the percentage of
            enterprises with e-commerce sale (E-commerce), the percentage of employees using computers
            with Internet access compared to the total number of employees (Connection to the Internet),
            the percentage of enterprises that have Internet access relative to the total number of enterprises
            in the country, and the percentage of enterprises that use strong password authentication as an
            124         Journal of Competitiveness
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                ICT security measure (ICT security). The third category, named digital skills, involves indicators
                such as the percentage of the population with low digital skills (ICT users), the percentage of
                employed ICT specialists as a share of total employment (ICT specialists in employment), and
                the percentage of enterprises that have provided training for employees to develop or improve
                digital skills (ICT training).
                Categories represent criteria in the model, while the indicators represent sub-criteria (Figure 1).
                                                       Ranking European countries according to digital
                                                             competitiveness composite index
                               C1. ICT usage in                         C2. ICT usage in
                                                                                                               C3. Digital skills
                              households and by                           enterprises
                                 individuals
                        C1.1. Internet use                     C2.1. Websites and use of social media
                        C1.2. Connection to the Internet       C2.2. E-business                               C3.1. ICT users
                        and computer use                       C2.3. E-commerce (enterprises with e-          C3.2. ICT specialists in
                        C1.3. E-government                     commerce sales)                                employment
                        C1.4. E-commerce (online               C2.4. Connection to the Internet               C3.3. ICT training
                        purchase in last three months)         (enterprises with internet access)
                        C1.5. ICT usage at work                C2.5. ICT security (security measure used)
                                                                 EU 28, Norway, Serbia
                                  Fig. 1 – Hierarchical structure of the model. Source: own research
                                            Fig. 1 – Hierarchical structure of the model. Source: own research
                4. RESULTS AND DISCUSSION
                Using the CRITIC methods, the following weights of criteria and sub-criteria were determined
                (Table 1):
                Tab. 1 – Relative significance of criteria and sub-criteria. Source: own research
                  Criteria         Sub-criteria                                        Sub-criteria weights       Criteria weights
                                   Internet use                                        0.062287121
                  ICT              Connection to the Internet and
                                                                                       0.080473564
                  usage in         computer use
                  households       E-government                                        0.057049018                0.3201145
                  and by           E-commerce (online purchase in the
                                                                      0.065249476
                  individuals      last three months)
                                   ICT usage at work                                   0.055055319
                                                                                                                                          125
joc2021-2-v3.indd 125                                                                                                                    29.6.2021 14:27:44
                                 Websites and use of social media          0.064372506
                                 E-business                                0.111007268
              ICT                E-commerce (enterprises with
                                                                           0.092766335
              usage in           e-commerce sales)                                            0.46628311
              enterprises        Connection to the Internet
                                                                           0.077118394
                                 (enterprises with internet access)
                                 ICT security (security measure used) 0.121018607
                                 ICT users                                 0.080599667
              Digital
                                 ICT specialists in employment             0.062194305        0.21360239
              skills
                                 ICT training                              0.070808420
            Based on the obtained results, it can be noted that the category ICT usage in the enterprises has the
            highest relative importance in assessing the achieved level of digital competitiveness. Regarding
            sub-criteria, the most important sub-criteria in assessing countries’ digital competitiveness is
            related to ICT security and E-business. This means that the digital performance of the country
            is most significantly affected by the level of development of the ICT sector in enterprises. In
            contrast, the usage of ICT in households is not crucial. Also, the level of digital skills is less
            important than the importance of ICT usage in enterprises. Additionally, when looking at the
            sub-criteria within the criteria of ICT usage in enterprises, it can be noticed that the criteria
            related to the commercial use of ICT (such as e-commerce) are less important than the criteria
            related to non-commercial use of ICT (such as online security), which is following the results
            obtained by Milošević et al. (2018).
            In the second part of the analysis, the TOPSIS method was applied to evaluate and rank countries
            based on their digital competitiveness. The results are shown in Table 2.
            Tab. 2 – Country rankings according to the level of achieved digital competitiveness. Source:
            own research
              Country                                Digital com-   Rank    Country      Digital com-   Rank
                                                     petitiveness                        petitiveness
                                                     index                               index
              Finland                                0.762145886    1       Slovenia     0.484931879    16
              Netherlands                            0.740252087    2       Spain        0.479319590    17
              Denmark                                0.737697856    3       Estonia      0.476872351    18
              Sweden                                 0.704007455    4       Portugal     0.449256463    19
              Norway                                 0.696300532    5       Serbia       0.437748381    20
              Belgium                                0.664988713    6       Slovakia     0.392472813    21
              United Kingdom                         0.596010034    7       Cyprus       0.380482019    22
              Ireland                                0.576294361    8       Latvia       0.372013043    23
              Austria                                0.569541227    9       Croatia      0.358278487    24
            126         Journal of Competitiveness
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                  Germany                      0.565424996      10        Italy            0.357726914      25
                  Czech Republic               0.563265193      11        Poland           0.322461394      26
                  Luxembourg                   0.539312451      12        Greece           0.318395071      27
                  France                       0.525897882      13        Hungary          0.260716169      28
                  Malta                        0.520077868      14        Bulgaria         0.167774072      29
                  Lithuania                    0.487942569      15        Romania          0.105482473      30
                The results indicate that Nordic countries achieve the highest values of digital competitiveness,
                while most of the Eastern European countries are at the bottom of the list. If the obtained
                results are compared with similar indices measuring the level of digital development, such as
                the Network Readiness Index (NRI, 2019), ICT Development Index (IDI, 2018), IMD World
                Digital Competitiveness Ranking (IMD, 2019), and Digital Economy and Society Index (DESI,
                2019), similarities can be seen both in the countries at the top of the list and in the countries
                at the bottom of the list. According to DESI (2019), Finland, Sweden, Denmark and the
                Netherlands scored the highest. Similarly, the results of NRI (2019) indicate that eight European
                nations rank among the top ten countries in the world: Sweden (1), the Netherlands (3), Norway
                (4), Switzerland (5), Denmark (6), Finland (7), Germany (9), and the United Kingdom (10). In
                addition, Nordic countries, the Netherlands and Switzerland can be found among the highest-
                ranked countries in the IMD World Digital Competitiveness Ranking. The similarities in ranking
                indicate the validity of the proposed methodology.
                The results of the correlation analysis indicate that the application of equal weights leads to
                moderate rank reversal (the value of Kendall’s tau is 0.903). Therefore, whenever possible it is
                desirable to apply objective methods of weight determination. Regarding the sensitivity of the
                results, although there is a rank reversal, it is not intensely expressed, a finding which supports
                the robustness of the results.
                To determine groups of countries with similar digital competitiveness and economic performances,
                a cluster analysis was performed, for which the first and the most important step is the selection
                of the variables. Besides the assessed digital competitiveness, three more variables were used in the
                analysis which reflects the economic performance of analysed countries (Table 3).
                Tab. 3 – Variables for cluster analysis. Source: own research
                  Variable               Description                                           Source
                                         Assessed value based on the data related to the
                  Digital competitive-
                                         digital economy and society using integrated          Own research
                  ness
                                         CRITIC-TOPSIS method
                                         Output per worker (GDP constant 2011 inter-
                  Labour productivity                                                          ILOSTAT (2020)
                                         national $ in PPP)
                                         Share of employed persons aged 20 to 64 in the
                  Employment rate                                                              Eurostat (2020b)
                                         total population of the same age group
                                                                                                                  127
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                                   The median of the total income of all house-
                                   holds after tax and other deductions that is
              Median equalised net
                                   available for spending or saving, divided by the           Eurostat (2020c)
              income
                                   number of household members converted into
                                   equivalised adults
            After selecting appropriate variables, a cluster analysis was applied and four distinct groups of
            countries were identified (Table 4).
            Tab. 4 – Composition of clusters. Source: own research
              Cluster 1          Cyprus, Czech Republic, Estonia, Latvia, Lithuania, Malta, Portugal, Slovakia,
                                 Slovenia, Spain
              Cluster 2          Bulgaria, Greece, Croatia, Italy, Hungary, Poland, Romania, Serbia
              Cluster 3          Denmark, Germany, Netherlands, Austria, Sweden, United Kingdom, Norway
              Cluster 4          Belgium, Finland, France, Ireland, Luxembourg
            Cluster 1 is the largest one, including one-third of the countries, while Cluster 4 is the smallest
            with five countries. The clusters obtained include a set of geographically heterogeneous countries.
            Cluster 1 has the highest diversity, consisting of countries primarily from Central and Southern
            Europe and Baltic countries. Cluster 2 encompasses Balkan countries and some of the Central
            European countries. Cluster 3 includes Northern and most Western European countries, while
            Cluster 4 includes Western and Northern European countries.
            If the data are analysed by clusters, it can be noticed that high digital competitiveness
            is accompanied by better economic performance and vice versa (Table 5). Hence, there is a
            link between the level of digital competitiveness and a country’s economic performance. The
            difference in the global competitiveness of countries and their economic performance largely
            depends on the availability, level of acceptance, and use of ICT (Mitrović, 2020). Regarding
            digital competitiveness and economic performance of the clusters, Cluster 2 has the lowest
            average value of digital competitiveness and also indicates the existence of considerable economic
            deprivation, signifying that a lower level of digital competitiveness is associated with lower
            economic performance. Regarding the countries in Cluster 1, they have higher average values
            of all variables than the countries in Cluster 2. Countries in the fourth cluster have a relatively
            high value of digital competitiveness and the highest values of GDP per capita and labour
            productivity. In contrast, countries in Cluster 3 have the highest values of digital competitiveness
            and the highest employment rates. Considering Clusters 3 and 4, it can be concluded that higher
            digital competitiveness is associated with better economic performance.
            Tab. 5 – Mean value of variables within clusters. Source: own research
              Variable                                       Cluster 1    Cluster 2   Cluster 3       Cluster 4
              Digital competitiveness                        0.4607       0.2911      0.6585          0.6137
              Labour productivity                            69,711.00    61,755.75   98,138.29       129,323.60
              Employment rate                                76.01        69.21       79.37           72.86
              Median equalized net income                    11,600.00    7,130.00    27,094.00       26,793.00
            128         Journal of Competitiveness
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                5. CONCLUSION
                The overall development of the information society should be directed towards harnessing the
                potential of ICTs to increase efficiency, economic growth, and higher employment to improve
                the quality of life of all citizens of the countries. Digital transformation is an opportunity for
                European countries to address a number of their structural economic, political and social
                challenges. In recent decades, the importance of digitalization has become the subject of
                numerous researches, as digitalization has changed the lives of groups and individuals in many
                ways. Nevertheless, when it comes to measuring digitalization and digital competitiveness of
                countries, no consensus has emerged regarding a composite indicator that would cover all
                aspects of digitalization.
                This paper has proposed a multi-criteria approach to create a composite measure of digital
                competitiveness. Nordic countries were shown to achieve the highest degree of digital
                competitiveness, while countries in Eastern Europe lag behind. Furthermore, the results
                indicate that ICT usage in the enterprises has the highest relative importance with regard to
                the assessment of the achieved level of digital competitiveness, which indicates that the digital
                performance of a country is most significantly affected by the level of development of the ICT
                sector in enterprises. In contrast, the usage of ICT in households is not crucial. Also, the level of
                digital skills is less important than the importance of ICT usage in enterprises. Additionally, the
                criteria related to the commercial use of ICT (such as e-commerce) are less important than the
                criteria related to non-commercial use of ICT (such as online security).
                Regarding the identification of groups with similar digital competitiveness and economic
                performances, four distinct geographically dispersed groups of countries were identified:
                countries primarily from Central and Southern Europe and Baltic countries, Balkan countries
                along with some Central European countries, Northern and most Western European countries,
                while the smallest fourth group includes one Western and one Northern European country. The
                results indicate that groups with a low average value of digital competitiveness also have lower
                economic performance, while economically advanced countries can be found in the groups of
                countries with high digital competitiveness.
                These results contribute to existing research on how to measure the digital economy by offering an
                empirical example of assessing the digital competitiveness of European countries. Furthermore,
                the results may have implications for policymakers as well as serve as a guideline for making
                strategic decisions aimed at planning the digital future of the country.
                Nevertheless, the proposed study has some limitations. Due to the unavailability of data,
                the research does not take into account the supply side of digitalization related to regulatory
                frameworks nor the countries’ investments in ICTs. Future studies will be aimed at eliminating
                these shortcomings and including these variables, as they represent valuable indicators of digital
                competitiveness.
                Acknowledgments: The research in this paper was conducted within the framework of activities
                on the bilateral cooperation project “Researching capacity for the implementation of smart cities
                as the basis for sustainable urban development” financed by Ministry of Education, Science
                and Technological Development of the Republic of Serbia as well as the Ministry of Science
                                                                                                                 129
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            and Education of the Republic of Croatia. It has also been supported by the University of
            Rijeka under the project “Smart cities in function of development of national economy” (uniri-
            drustv-18-255-1424).
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            Contact information
            Assoc. Prof. Jelena J. Stankovic, Ph.D.
            University of Niš
            Faculty of Economics
            Serbia
            E-mail: jelena.stankovic@eknfak.ni.ac.rs
            ORCID: 0000-0002-9875-9861
            TA Ivana Marjanovic, M.Sc.
            University of Niš
            Faculty of Economics
            Serbia
            E-mail: ivana.veselinovic@eknfak.ni.ac.rs
            ORCID: 0000-0002-9526-0467
            Assoc. Prof. Sasa Drez gic, Ph.D.
            University of Rijeka
            Faculty of Economics
            Croatia
            E-mail: sasa.drez gic@efri.hr
            ORCID: 0000-0002-7712-8112
            Prof. Zarko Popovic, Ph.D.
            University of Niš
            Faculty of Economics
            Serbia
            E-mail: zarko.popovic@eknfak.ni.ac.rs
            ORCID: 0000-0002-4347-6960
            134         Journal of Competitiveness
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