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Aggregation in a Model of Price Competition

  • Peitz, Martin

In a model of price competition single-product ¯rms compete for consumers. Consumerspurchase a variable quantity of one of the di®erentiated goods. The paper provides results onequilibrium existence when consumers are heterogeneous in their evaluation of the di®erentiatedgoods among each other, their evaluation of the di®erentiated goods relative to the outside good,and heterogeneous in income. Furthermore, I provide su±cient conditions for dominance solvabilityand monotone comparative statics.

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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 90 (2000)
Issue (Month): 1 (January)
Pages: 1-38

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Handle: RePEc:eee:jetheo:v:90:y:2000:i:1:p:1-38
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  1. Jean-Michel Grandmont, 1993. "Behavioral Heterogeneity and Cournot Oligopoly Equilibrium," Cowles Foundation Discussion Papers 1044, Cowles Foundation for Research in Economics, Yale University.
  2. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  3. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-28, July.
  4. Peitz, Martin, 1997. "Differentiated Bertrand duopoly with variable demand," Research in Economics, Elsevier, vol. 51(2), pages 85-100, June.
  5. Roberts, John & Sonnenschein, Hugo, 1977. "On the Foundations of the Theory of Monopolistic Competition," Econometrica, Econometric Society, vol. 45(1), pages 101-13, January.
  6. Milgrom, Paul & Roberts, John, 1991. "Adaptive and sophisticated learning in normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 82-100, February.
  7. Dierker, Egbert & Dierker, Hildegard & Trockel, Walter, 1984. "Price-dispersed preferences and C1 mean demand," Journal of Mathematical Economics, Elsevier, vol. 13(1), pages 11-42, April.
  8. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
  9. Cooper, Russell & John, Andrew, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, MIT Press, vol. 103(3), pages 441-63, August.
  10. Grandmont Jean-michel, 1985. "Distributions of preferences and the "law of demand"," CEPREMAP Working Papers (Couverture Orange) 8513, CEPREMAP.
  11. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
  12. Andrew Caplin & Barry Nalebuff, 1990. "Aggregation and Social Choice: A Mean Voter Theorem," Cowles Foundation Discussion Papers 938, Cowles Foundation for Research in Economics, Yale University.
  13. Paul Milgrom & John Roberts, 2010. "Adaptive and Sophisticated Learning in Repeated Normal-Form Games," Levine's Working Paper Archive 418, David K. Levine.
  14. Martin Peitz, 2002. "Price equilibrium in address models of product differentiation: unit-elastic demand," Economic Theory, Springer, vol. 20(4), pages 849-860.
  15. Tan, Tommy Chin-Chiu & da Costa Werlang, Sergio Ribeiro, 1988. "The Bayesian foundations of solution concepts of games," Journal of Economic Theory, Elsevier, vol. 45(2), pages 370-391, August.
  16. Klemperer, Paul, 1995. "Competition When Consumers Have Switching Costs: An Overview with Applications to Industrial Organization, Macroeconomics, and International Trade," Review of Economic Studies, Wiley Blackwell, vol. 62(4), pages 515-39, October.
  17. Mas-Colell, Andreu & Neuefeind, Wilhelm, 1977. "Some Generic Properties of Aggregate Excess Demand and an Application," Econometrica, Econometric Society, vol. 45(3), pages 591-99, April.
  18. Egbert Dierker, 1989. "Competition for Customers," Discussion Paper Serie A 244, University of Bonn, Germany.
  19. Milgrom, Paul & Roberts, John, 1990. "The Economics of Modern Manufacturing: Technology, Strategy, and Organization," American Economic Review, American Economic Association, vol. 80(3), pages 511-28, June.
  20. Martin Peitz, 1998. "- A Difficulty With The Address Models Of Product Differentiation," Working Papers. Serie AD 1998-21, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  21. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  22. Curtis Eaton, B. & Lipsey, Richard G., 1989. "Product differentiation," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 12, pages 723-768 Elsevier.
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