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Limits of Exact Equilibria for Capacity Constrained Sellers with costlySearch

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  • Michael Peters

Abstract

The paper contrasts the exact equilibria of games where sellers compete in price with the rational expectations equilibria of these games. It is shown that the distribution of prices offered by sellers in both the exact and rational expectations equilibrium converge weakly to the same limit as the number of buyers and sellers grows large. Furthermore, the payoffs that sellers face in both kinds of equilibrium have the market utility property in the limit.

Suggested Citation

  • Michael Peters, 1998. "Limits of Exact Equilibria for Capacity Constrained Sellers with costlySearch," Working Papers peters-98-01, University of Toronto, Department of Economics.
  • Handle: RePEc:tor:tecipa:peters-98-01
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    References listed on IDEAS

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    1. Daron Acemoglu & Robert Shimer, 1999. "Efficient Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 893-928, October.
    2. Douglas Gale, 1996. "Equilibria and Pareto optima of markets with adverse selection (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 207-235.
    3. Bergin, James & Bernhardt, Dan, 1992. "Anonymous sequential games with aggregate uncertainty," Journal of Mathematical Economics, Elsevier, vol. 21(6), pages 543-562.
    4. Michael Peters, 1997. "A Competitive Distribution of Auctions," Review of Economic Studies, Oxford University Press, vol. 64(1), pages 97-123.
    5. Gould, John P, 1978. "Inventories and Stochastic Demand: Equilibrium Models of the Firm and Industry," The Journal of Business, University of Chicago Press, vol. 51(1), pages 1-42, January.
    6. Carlton, Dennis W, 1978. "Market Behavior with Demand Uncertainty and Price Inflexibility," American Economic Review, American Economic Association, vol. 68(4), pages 571-587, September.
    7. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
    8. Peters, Michael & Severinov, Sergei, 1997. "Competition among Sellers Who Offer Auctions Instead of Prices," Journal of Economic Theory, Elsevier, vol. 75(1), pages 141-179, July.
    9. Douglas Gale, 1992. "A Walrasian Theory of Markets with Adverse Selection," Review of Economic Studies, Oxford University Press, vol. 59(2), pages 229-255.
    10. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-1127, September.
    11. Michael Peters, 1995. "On the Equivalence of Walrasian and Non-Walrasian Equilibria in Contract Markets: The case of Complete Contracts," Working Papers peters-95-01, University of Toronto, Department of Economics.
    12. Diamond, Peter A., 1971. "A model of price adjustment," Journal of Economic Theory, Elsevier, vol. 3(2), pages 156-168, June.
    13. Kenneth Burdett & Shouyong Shi & Randall Wright, 1998. "Pricing with frictions," Working Papers 98-9, Federal Reserve Bank of Philadelphia.
    14. Kalai, Ehud & Lehrer, Ehud, 1993. "Subjective Equilibrium in Repeated Games," Econometrica, Econometric Society, vol. 61(5), pages 1231-1240, September.
    15. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    16. Raymond Deneckere & James Peck, 1995. "Competition Over Price and Service Rate When Demand is Stochastic: A Strategic Analysis," RAND Journal of Economics, The RAND Corporation, vol. 26(1), pages 148-162, Spring.
    17. Wilson, Robert B, 1989. "Efficient and Competitive Rationing," Econometrica, Econometric Society, vol. 57(1), pages 1-40, January.
    18. James D. Montgomery, 1991. "Equilibrium Wage Dispersion and Interindustry Wage Differentials," The Quarterly Journal of Economics, Oxford University Press, vol. 106(1), pages 163-179.
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    More about this item

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D45 - Microeconomics - - Market Structure, Pricing, and Design - - - Rationing; Licensing

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