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                  492                   CHAPTER 12   CAPTURING SURPLUS
                                        right of Q ) has a willingness to pay below marginal cost. Perfect first-degree price
                                                1
                                        discrimination therefore leads to an economically efficient level of output—in other
                                        words, there is no deadweight loss. 6


                             LEARNING-BY-DOING EXERCISE 12.1
                       S
                       D
                    E
                             Capturing Surplus: Uniform Pricing versus First-Degree Price Discrimination
                             In this exercise we will see how a monopolist  (b) Suppose the firm can engage in perfect first-degree
                  can capture more surplus with first-degree price discrimi-  price discrimination. How large will the producer sur-
                  nation than with a uniform price. Suppose a monopolist has  plus be?
                  a constant marginal cost MC   2 and faces the demand
                  curve P   20   Q, as shown in Figure 12.3. There are no  Solution
                  fixed costs.
                                                                   (a) The marginal revenue curve is  MR   P   ( P/
                  Problem                                           Q)Q   (20   Q)   ( 1)Q   20   2Q. To find the op-
                                                                   timal quantity, we set marginal revenue equal to marginal
                  (a) Suppose price discrimination is not allowed (or is not  cost. Thus, 20   2Q   2, or Q   9. Substituting this into
                  possible). How large will the producer surplus be?  the demand curve, we find that P   20   9   11.





                                             $20  W


                                             Price ($ per unit)  $11  R  T








                                                 Z          M           X
                                              $2
                                                                                    MC
                                                 O        N           Y
                                                                              D
                                                           9           18    20
                                                             MR (with
                                                           uniform pricing)
                                                           Quantity (units per year)

                    FIGURE 12.3   Capturing Surplus: Uniform Pricing versus First-Degree Price Discrimination
                    With uniform pricing, the firm produces 9 units (corresponding to the intersection of the mar-
                    ginal cost curve MC and the marginal revenue curve MR). It sells these units at a price of $11
                    per unit, capturing a producer surplus of $81 (area RTMZ). With perfect first-degree price dis-
                    crimination, the firm produces 18 units (corresponding to the intersection of MC and the
                    demand curve D), capturing a producer surplus of $162 (area WXZ).



                                        6 Although perfect first-degree price discrimination leads to an efficient market (with zero deadweight
                                        loss), not everyone would be happy with this outcome. In particular, consumers would not be happy
                                        because all of the surplus goes to producers. What is efficient may not always be viewed as “fair” or
                                        “equitable” by all the participants in a market. For more on the potential conflicts between the two, see
                                        Edward E. Zajac, Political Economy of Fairness (Cambridge, MA: MIT Press, 1995).
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