The UK’s European university
Economics for Accounting
   ECON3007
   Autumn Term
   6. Consumer Demand II: Theory
Aims and reading
• Aim
  • To discuss consumer’s optimal consumption
  • To introduce the meaning of income and substitution
    effects
• Reading
  • Mulhearn & Vane Chapter 2; Sloman et.al. Chapters 5.5 & 6
                                                                2
Consumer’s optimal consumption
 Income and substitution effects
                                   3
Indifference curves
   Francis Y. Edgeworth   Vilfredo Pareto
       (1845-1926)         (1848-1923)
Indifference curves
Good 1
                          Marginal rate of substitution is the
                          quantity of a good a consumer must
             A            sacrifice to increase the quantity of
                          another good by one unit without
                          changing total utility (slope of the IC)
                      B
                                  IC1
         0                                                Good 2
Consumer’s optimal consumption
                                    Any bundle within the budget
                                    constraint is affordable, but
                                    not all the budget is spent
Meals                               (C,D).
     max                H
 x   meal
            
                    E               Any bundle beyond the
                                    budget constraint you cannot
                                    afford (H,G).
                C           G
                                    Any bundle on the budget
                                    constraint is affordable and
                                F   ensures all the budget is
                        D
                                    spent (E,F).
                                    
                                          max
                                        x cin.   Cinema tickets
                                                                    6
Consumer’s optimal consumption
             Effect of a fall in income
 Meals
  max
 xmeal
         
                              
                                    max
                                  x cin.   Cinema tickets
                                                            7
Consumer’s optimal consumption
 Meals          Increase in the price of cinema tickets
 x max
   meal
          
                                       x cmina x.    Cinema tickets
                                                                      8
Consumer’s optimal consumption
• Finding the choice of the consumer requires
  bringing in the two elements:
   • The indifference curves, which show how agents rank
     the different bundles
   • The budget constraint, which shows which bundles are
     affordable, and which are not
                                                            9
Consumer’s optimal consumption
                       Which is the best bundle ?
 Meals
  x max    
                                                   Optimal bundle
    meal                               A
                   C                                  WHY?
               
                           D                           B
                                                  
                               F
                               
                                                                           IC3
                                               E                   IC2
                                           
                                                               IC1
                                                           
                                                                 max
                                                               x cin.    Cinema tickets
                                                                                          10
Consumer’s optimal consumption
• The optimal bundle is on the tangency between
  the budget constraint and the indifference curve
• At this point the ratio of prices (marginal rate of
  transformation, MRT) is equal to the marginal
  rate of substitution (MRS) between the two
  goods or the ratio of marginal utilities
                                                        11
Consumer’s optimal consumption
• The slope of the budget line and the slope of the
  IC coincide
                MUa / Pa = MUb / Pb
                    MRS = MRT
• This means that the optimal bundle is on the
  highest indifference curve achievable
   • The one that gives the most satisfaction
                                                      12
Consumer’s optimal consumption
 Income and substitution effects
                                   13
Income and substitution effects
• Our model of consumer choice is based on the
  interaction of affordable opportunities (the budget
  line) and tastes (indifference curves)
• What is the effect of price changes in quantity
  demanded?
• Economists    break up the effect of a price
  increase into two different effects:
   • Change in the relative price of two goods
   • Fall in the purchasing power of the given money income
                                                              14
Income and substitution effects
•   Substitution effect is the change in the quantity
    demanded of a good when price changes result in
    consumers switching from relatively high-priced products
    to relatively low-priced products
•   Income effect is the change in the quantity demanded of
    a good when price changes alter the purchasing power
                                                               15
What have we learnt?
•   How the consumer maximises optimal consumption
•   Meaning of income effect and substitution effects
                                                        16