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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
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Caplin, A. & Nalebuff, B., 1989. "Aggregation And Imperfect Competition: On The Existence Of Equilibrium," Discussion Papers 1989_30, Columbia University, Department of Economics.
  2. 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.
  3. Grandmont, Jean-Michel, 1987. "Distributions of Preferences and the 'Law of Demand.'," Econometrica, Econometric Society, vol. 55(1), pages 155-61, January.
  4. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
  5. Werlang, Sérgio Ribeiro da Costa & Chin-Chiu Tan, Tommy, 1987. "The Bayesian Foundations of Solution Concepts of Games," Economics Working Papers (Ensaios Economicos da EPGE) 111, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  6. Vives, X., 1988. "Nash Equilibrium With Strategic Complementarities," UFAE and IAE Working Papers 107-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  7. 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.
  8. Grandmont, Jean-Michel, 1993. "Behavioral heterogeneity and Cournot oligopoly equilibrium," CEPREMAP Working Papers (Couverture Orange) 9305, CEPREMAP.
  9. Egbert Dierker, 1989. "Competition for Customers," Discussion Paper Serie A 244, University of Bonn, Germany.
  10. 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.
  11. Martin Peitz, 1996. "Differentiated bertrand duopoly with variable demand," Working Papers. Serie AD 1996-18, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  12. 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).
  13. Martin Peitz, 2002. "Price equilibrium in address models of product differentiation: unit-elastic demand," Economic Theory, Springer, vol. 20(4), pages 849-860.
  14. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-28, July.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
  19. Paul Milgrom & John Roberts, 2010. "Adaptive and Sophisticated Learning in Repeated Normal-Form Games," Levine's Working Paper Archive 418, David K. Levine.
  20. 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.
  21. John Roberts & Hugo Sonnenschein, 1976. "On the Foundations of the Theory of Monopolistic Competition," Discussion Papers 169, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  22. 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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