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Characterization of the support of the mixed strategy price equilibria in oligopolies with heterogeneous consumers

  • Sinitsyn, Maxim

This paper revisits the theory of oligopoly pricing and shows that for a large class of demand and cost functions, a mixed strategy equilibrium necessarily implies that each firm's equilibrium strategy is a discrete distribution over a finite number of prices.

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Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 99 (2008)
Issue (Month): 2 (May)
Pages: 242-245

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Handle: RePEc:eee:ecolet:v:99:y:2008:i:2:p:242-245
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  1. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-69, July.
  2. Carl Davidson & Raymond Deneckere, 1986. "Long-Run Competition in Capacity, Short-Run Competition in Price, and the Cournot Model," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 404-415, Autumn.
  3. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-59, September.
  4. Allen, Beth & Hellwig, Martin, 1993. "Bertrand-Edgeworth Duopoly with Proportional Residual Demand," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 39-60, February.
  5. Rafael Rob, 1985. "Equilibrium Price Distributions," Review of Economic Studies, Oxford University Press, vol. 52(3), pages 487-504.
  6. Richard E. Levitan & Martin Shubik, 1970. "Price Duopoly and Capacity Constraints," Cowles Foundation Discussion Papers 287, Cowles Foundation for Research in Economics, Yale University.
  7. Baye, Michael R. & Kovenock, Dan & de Vries, Casper G., 1992. "It takes two to tango: Equilibria in a model of sales," Games and Economic Behavior, Elsevier, vol. 4(4), pages 493-510, October.
  8. Narasimhan, Chakravarthi, 1988. "Competitive Promotional Strategies," The Journal of Business, University of Chicago Press, vol. 61(4), pages 427-49, October.
  9. Gal-or, Esther, 1982. "Hotelling's spatial competition as a model of sales," Economics Letters, Elsevier, vol. 9(1), pages 1-6.
  10. Osborne, Martin J. & Pitchik, Carolyn, 1986. "Price competition in a capacity-constrained duopoly," Journal of Economic Theory, Elsevier, vol. 38(2), pages 238-260, April.
  11. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 1-26.
  12. Dana, James D, Jr, 1994. "Learning in an Equilibrium Search Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(3), pages 745-71, August.
  13. Shilony, Yuval, 1977. "Mixed pricing in oligopoly," Journal of Economic Theory, Elsevier, vol. 14(2), pages 373-388, April.
  14. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, June.
  15. Jean-Pascal Benassy, 1989. "Market Size and Substitutability in Imperfect Competition: A Bertrand-Edgeworth-Chamberlin Model," Review of Economic Studies, Oxford University Press, vol. 56(2), pages 217-234.
  16. McAfee R. Preston, 1995. "Multiproduct Equilibrium Price Dispersion," Journal of Economic Theory, Elsevier, vol. 67(1), pages 83-105, October.
  17. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
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