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                                                                        2.3 OTHER ELASTICITIES                   53

                      APPLICA TION  2.4
                      How People Buy Cars: The                         Although all of the cross-price elasticities are fairly

                      Importance of Price                              small, note that the cross-price elasticities between
                                                                       compact cars (Sentra, Escort) and luxury cars (Lexus
                                                                       LS400, BMW 735i) are zero or close to zero. This
                      Table 2.6 presents estimates of the cross-price elastici-
                                                                       makes sense: Compacts and luxury cars are distinct
                      ties of demand for some of the makes of automobiles
                                                                       market segments. Different people buy BMWs than
                      shown in Table 2.3. (The table contains the price elas-
                                                                       buy Ford Escorts, so the demand for one should not
                      ticities of demand for these makes as well.) The table
                                                                       be much affected by the price of the other. By con-
                      shows, for example, that the cross-price elasticity of
                                                                       trast, the cross-price elasticities within the compact
                      demand for Ford Escort with respect to the price of a
                                                                       segment are relatively higher. This suggests that con-
                      Nissan Sentra is 0.054, indicating that the demand for
                                                                       sumers within this segment view Sentras and Escorts
                      Ford Escorts goes up at a rate of 0.054 percent for each
                                                                       as substitutes for one another.
                      1 percent increase in the price of a Nissan Sentra.
                                 TABLE 2.6   Cross-Price Elasticities of Demand for Selected Makes
                                 of Automobiles
                                                   Price of Sentra  Price of Escort  Price of LS400  Price of 735i
                                                          a
                                  Demand for Sentra    6.528                    0.078 b  0.000   0.000
                                  Demand for Escort    0.054         6.031          0.001        0.000
                                  Demand for LS400     0.000         0.001          3.085        0.093
                                  Demand for 735i      0.000         0.001          0.032        3.515

                                 a This is the price elasticity of demand for a Sentra.
                                 b This is the cross-price elasticity of demand for a Sentra with respect to the price of an Escort.
                                 Sources: Adapted from Table VI in S. Berry, J. Levinsohn, and A. Pakes, “Automobile Prices in
                                 Market Equilibrium,” Econometrica, 63 (July 1995): 841–890.




                      APPLICA TION  2.5

                      Coke versus Pepsi     15                         Cola and Pepsi. 16  Using the average values of prices
                                                                      and other variables in their study, we can infer the
                      If the price of Coke goes down, what is the effect on  price elasticity, cross-price elasticity, and income
                      the demand for Pepsi? And if Pepsi’s price goes  elasticities of demand for Coke and Pepsi shown in
                      down, how is Coke’s demand affected? Farid Gasmi,  Table 2.7. 17
                      Quang Vuong, and Jean-Jacques Laffont (GVL) stud-   As you can see in Table 2.7, the cross-price elas-
                      ied competitive interactions in the U.S. soft drink  ticities of demand are positive numbers (0.52 and
                      market and estimated demand equations for Coca-  0.64). This tells us that a decrease in Coke’s price



                      15 This example is based on F. Gasmi, J. J. Laffont, and Q. Vuong, “Econometric Analysis of Collusive
                      Behavior in a Soft Drink Market,” Journal of Economics and Management Strategy, 1 (Summer 1992):
                      278–311. It was inspired by the classroom notes of our former colleague Matthew Jackson.
                      16 In Chapter 13, we will use these demand functions to study price competition between Coke and Pepsi.
                      17 GVL estimated these demand functions under several different assumptions about market behavior.
                      The ones reported here correspond to what the authors believe is the best model.
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