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Multiproduct price competition with heterogeneous consumers and nonconvex costs

  • Braido, Luis H.B.

This paper extends the oligopolistic model of price competition to environments with multiple goods, heterogeneous consumers, and arbitrary continuous cost functions. A Nash equilibrium in mixed strategies with an endogenous sharing rule is proven to exist. It is also shown that, in environments with fixed costs and constant marginal costs, all (symmetric and asymmetric) equilibria exhibit price dispersion across stores. Furthermore, the paper identifies scenarios in which prices will necessarily be random. In these markets, stores keep each other guessing because, given the fixed costs, they would incur a loss if their price strategies were anticipated and beaten by competitors. This is interpreted as an important economic feature that is possibly behind random price promotions such as weekly specials.

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File URL: http://www.sciencedirect.com/science/article/pii/S0304-4068(08)00069-4
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Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 45 (2009)
Issue (Month): 9-10 (September)
Pages: 526-534

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Handle: RePEc:eee:mateco:v:45:y:2009:i:9-10:p:526-534
Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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  1. Steven Salop & Joseph Stiglitz, 1977. "Bargains and ripoffs: a model of monopolistically competitive price dispersion," Special Studies Papers 94, Board of Governors of the Federal Reserve System (U.S.).
  2. Sharkey, William W. & Sibley, David S., 1993. "A Bertrand model of pricing and entry," Economics Letters, Elsevier, vol. 41(2), pages 199-206.
  3. Frank H. Page, Jr. & Paulo K. Monteiro, 2007. "Endogenous Mechanisms and Nash Equilibrium in Competitive Contracting," Caepr Working Papers 2007-025, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
  4. Marquez, Robert, 1997. "A note on Bertrand competition with asymmetric fixed costs," Economics Letters, Elsevier, vol. 57(1), pages 87-96, November.
  5. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-69, July.
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  9. Michael R. Baye & John Morgan, 2004. "Price Dispersion in the Lab and on the Internet: Theory and Evidence," Working Papers 2004-02, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
  10. Reinganum, Jennifer F, 1979. "A Simple Model of Equilibrium Price Dispersion," Journal of Political Economy, University of Chicago Press, vol. 87(4), pages 851-58, August.
  11. Luis Braido, 2005. "General equilibrium with endogenous securities and moral hazard," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(1), pages 85-101, 07.
  12. Anderson, Simon P & de Palma, André, 2004. "Price Dispersion and Consumer Reservation Prices," CEPR Discussion Papers 4618, C.E.P.R. Discussion Papers.
  13. Rafael Rob, 1985. "Equilibrium Price Distributions," Review of Economic Studies, Oxford University Press, vol. 52(3), pages 487-504.
  14. McAfee R. Preston, 1995. "Multiproduct Equilibrium Price Dispersion," Journal of Economic Theory, Elsevier, vol. 67(1), pages 83-105, October.
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  16. Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 19-32, January.
  17. Dastidar, Krishnendu Ghosh, 1997. "Comparing Cournot and Bertrand in a Homogeneous Product Market," Journal of Economic Theory, Elsevier, vol. 75(1), pages 205-212, July.
  18. Bliss, Christopher, 1988. "A Theory of Retail Pricing," Journal of Industrial Economics, Wiley Blackwell, vol. 36(4), pages 375-91, June.
  19. Michael R. Baye & John Morgan, 2001. "Information Gatekeepers on the Internet and the Competitiveness of Homogeneous Product Markets," American Economic Review, American Economic Association, vol. 91(3), pages 454-474, June.
  20. Gerard R. Butters, 1977. "Equilibrium Distributions of Sales and Advertising Prices," Review of Economic Studies, Oxford University Press, vol. 44(3), pages 465-491.
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