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

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  • 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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Bibliographic Info

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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References

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  1. 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.
  2. 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.
  3. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-69, July.
  4. Shilony, Yuval, 1977. "Mixed pricing in oligopoly," Journal of Economic Theory, Elsevier, vol. 14(2), pages 373-388, April.
  5. Benassy, Jean-Pascal, 1989. "Market Size and Substitutability in Imperfect Competition: A Bertrand-Edgeworth-Chamberlin Model," Review of Economic Studies, Wiley Blackwell, vol. 56(2), pages 217-34, April.
  6. Varian, Hal R, 1980. "A Model of Sales," American Economic Review, American Economic Association, vol. 70(4), pages 651-59, September.
  7. 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.
  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.
  9. Richard E. Levitan & Martin Shubik, 1970. "Price Duopoly and Capacity Constraints," Cowles Foundation Discussion Papers 287, Cowles Foundation for Research in Economics, Yale University.
  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.
  11. Narasimhan, Chakravarthi, 1988. "Competitive Promotional Strategies," The Journal of Business, University of Chicago Press, vol. 61(4), pages 427-49, October.
  12. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
  13. Gal-or, Esther, 1982. "Hotelling's spatial competition as a model of sales," Economics Letters, Elsevier, vol. 9(1), pages 1-6.
  14. Rob, Rafael, 1985. "Equilibrium Price Distributions," Review of Economic Studies, Wiley Blackwell, vol. 52(3), pages 487-504, July.
  15. Dasgupta, Partha & Maskin, Eric, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 1-26, January.
  16. 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.
  17. McAfee R. Preston, 1995. "Multiproduct Equilibrium Price Dispersion," Journal of Economic Theory, Elsevier, vol. 67(1), pages 83-105, October.
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Cited by:
  1. Michal Ostatnicky, 2010. "Oligopolistic Price Competition with Informed and Uninformed Buyers," CERGE-EI Working Papers wp413, The Center for Economic Research and Graduate Education - Economic Institute, Prague.
  2. Sinitsyn, Maxim, 2009. "Price dispersion in duopolies with heterogeneous consumers," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 197-205, March.
  3. Mathur, Sameer & Sinitsyn, Maxim, 2013. "Price promotions in emerging markets," International Journal of Industrial Organization, Elsevier, vol. 31(5), pages 404-416.

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