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The Optimal of Provision of Products with Income Effects

  • Andre dePalma

    (Universite de Cergy-Pontoise)

  • Karim Kilani

    (Universite du Centre)

Discrete choice models have been used to describe imperfect competition between firms selling horizontally differentiated products. In all theoretical models, the indirect utility function is assumed to be linear in income so that there is no income effect. We consider here a situation in which income enters nonlinearly into the indirect utility function. We propose a correct (hicksian) measure of consumer surplus based on a willingness to pay principle. In order to grantee the existence of a price equilibrium, match values are assumed logconcavilly distributed. Using a correct measure of welfare, we extent the results of Anderson, de Palma and Nesterov to the case where income effects are involved. We proof that under these general assumptions, overentry prevails. Our findings, which extend the conventional discrete choice oligopoly approach provide various guidelines for empirical research.

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Paper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 1299.

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Date of creation: 01 Aug 2000
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Handle: RePEc:ecm:wc2000:1299
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  1. Anderson, Simon P & de Palma, Andre, 1992. "Multiproduct Firms: A Nested Logit Approach," Journal of Industrial Economics, Wiley Blackwell, vol. 40(3), pages 261-76, September.
  2. Anderson, Simon P & De Palma, Andre, 1992. "The Logit as a Model of Product Differentiation," Oxford Economic Papers, Oxford University Press, vol. 44(1), pages 51-67, January.
  3. Dixit, Avinash K & Stiglitz, Joseph E, 1975. "Monopolistic Competition and Optimum Product Diversity," The Warwick Economics Research Paper Series (TWERPS) 64, University of Warwick, Department of Economics.
  4. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
  5. Goldberg, Pinelopi Koujianou, 1995. "Product Differentiation and Oligopoly in International Markets: The Case of the U.S. Automobile Industry," Econometrica, Econometric Society, vol. 63(4), pages 891-951, July.
  6. A. de Palma & K. Kilani., 1999. "Discrete choice models with income effects," THEMA Working Papers 99-42, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  7. Spence, Michael, 1976. "Product Selection, Fixed Costs, and Monopolistic Competition," Review of Economic Studies, Wiley Blackwell, vol. 43(2), pages 217-35, June.
  8. Anderson, Simon P & de Palma, Andre, 1988. "Spatial Price Discrimination with Heterogeneous Products," Review of Economic Studies, Wiley Blackwell, vol. 55(4), pages 573-92, October.
  9. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
  10. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-90, July.
  11. Anderson, S. P. & De Palma, A. & Nesterov, Y., . "Oligopolistic competition and the optimal provision of products," CORE Discussion Papers RP -1179, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  12. Raymond Deneckere & Michael Rothschild, 1986. "Monopolistic Competition and Preference Diversity," Discussion Papers 684, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  13. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
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