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Characterization Of The Support Of The Mixed Strategy Price Equilibria In Oligopolies With Heterogeneous Consumers

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Author Info
Maxim Sinitsyn ()

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Abstract

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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Paper provided by McGill University, Department of Economics in its series Departmental Working Papers with number 2007-08.

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Length: 13 pages
Date of creation: Jun 2007
Date of revision:
Handle: RePEc:mcl:mclwop:2007-08

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Find related papers by JEL classification:
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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  1. Benassy, Jean-Pascal, 1989. "Market Size and Substitutability in Imperfect Competition: A Bertrand-Edgeworth-Chamberlin Model," Review of Economic Studies, Blackwell Publishing, vol. 56(2), pages 217-34, April. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  3. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-69, July. [Downloadable!] (restricted)
  4. Shilony, Yuval, 1977. "Mixed pricing in oligopoly," Journal of Economic Theory, Elsevier, vol. 14(2), pages 373-388, April. [Downloadable!] (restricted)
  5. 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. [Downloadable!] (restricted)
  6. Gal-or, Esther, 1982. "Hotelling's spatial competition as a model of sales," Economics Letters, Elsevier, vol. 9(1), pages 1-6. [Downloadable!] (restricted)
  7. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-59, September. [Downloadable!] (restricted)
  8. 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. [Downloadable!] (restricted)
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  9. McAfee R. Preston, 1995. "Multiproduct Equilibrium Price Dispersion," Journal of Economic Theory, Elsevier, vol. 67(1), pages 83-105, October. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
  11. Rob, Rafael, 1985. "Equilibrium Price Distributions," Review of Economic Studies, Blackwell Publishing, vol. 52(3), pages 487-504, July. [Downloadable!] (restricted)
  12. Narasimhan, Chakravarthi, 1988. "Competitive Promotional Strategies," Journal of Business, University of Chicago Press, vol. 61(4), pages 427-49, October. [Downloadable!] (restricted)
  13. Levitan, Richard & Shubik, Martin, 1972. "Price Duopoly and Capacity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(1), pages 111-22, February. [Downloadable!] (restricted)
    Other versions:
  14. 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. [Downloadable!] (restricted)
    Other versions:
  15. 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. [Downloadable!] (restricted)
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