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c05Thetheoryofdemand.qxd  7/23/10  8:51 AM  Page 187







                                                         5.5 THE CHOICE OF LABOR AND LEISURE                    187



                                  Demand
                          Annual membership price $1,500  A  C  B                   FIGURE 5.23    Negative Network

                           $1,200
                                                                                    Externality: Snob Effect
                                                                                    What happens to the demand for
                                                                                    membership in a fitness club if the
                           $1,900
                                                                                    annual membership charge falls from
                                                                                    $1,200 to $900? Without network
                           $1,600
                                                                           D
                                                                            1000
                                                                                    would increase the membership by
                                                      effect
                           $1,300                     Snob               D 1300     externalities, the pure price effect
                                                                                    800 (from 1,000 to 1,800). But this
                                                                                    increase in membership would discour-
                                                                                    age some people from joining. This
                               0
                                           1000   1300      1800                    negative externality (a snob effect)
                                                                                    leads to a reduction of 500 members
                                               Pure price effect                    (from 1,800 to 1,300). The net effect
                                               Q, number of memberships             of the price reduction is therefore an
                                                                                    increase of 300 members.

                      As we have already seen, the model of optimal consumer choice has many everyday  5.5
                      applications. In this section, we use that model to examine a consumer’s choice of how  THE CHOICE
                      much to work.
                                                                                                OF LABOR
                                                                                                AND LEISURE
                      AS WAGES RISE, LEISURE FIRST DECREASES,
                      THEN INCREASES

                      Let’s divide the day into two parts: the hours when an individual works and the hours
                      when he pursues leisure. Why does the consumer work at all? Because he works, he
                      earns an income, and he uses the income to pay for the activities he enjoys in his
                      leisure time. The term leisure includes all nonwork activities, such as eating, sleeping,
                      recreation, and entertainment. We assume that the consumer likes leisure activities.
                         Suppose the consumer chooses to enjoy leisure for L hours per day. Since a day
                      has 24 hours, the time available for work will be the time that remains after leisure,
                      that is, 24   L hours.
                         The consumer is paid an hourly wage rate w. Thus, his total daily income will be
                      w(24   L). He uses the income to purchase units of a composite good at a price of
                      $1 per unit.
                         The consumer’s utility U depends on the amount of leisure time and the number
                      of units of the composite good he can buy. We can represent the consumer’s decision
                      on the optimal choice diagram in Figure 5.24. The horizontal axis represents the
                      number of hours of leisure each day, which can be no greater than 24 hours. The ver-
                      tical axis represents the number of units of the composite good that he purchases from
                      his income. Since the price of the composite good is $1, the vertical axis also measures
                      the consumer’s income.
                         To find an optimal choice of leisure and other goods, we need a set of indifference
                      curves and a budget constraint. Figure 5.24 shows a set of indifference curves for
                      which the marginal utility of leisure and the composite good are both positive. Thus
                      U   U   U   U   U .
                            4
                       5
                                  3
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