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Equilibrium in Non-Partitioning Strategies

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  • Robert J. Weber

Abstract

Herein we present a single example with three purposes: (1) to show the existence of equilibria in a game which violates the assumptions of currently-available general existence theorems, (2) to illustrate the importance of the "affiliation" assumption in economic games of incomplete information, by showing how even a slight relaxation can lead to the nonexistence of equilibria in monotone strategies, and, most importantly, (3) to exhibit an equilibrium point in strategies which partially reveal information without inducing posterior partitionings of the players' type spaces.

Suggested Citation

  • Robert J. Weber, 1991. "Equilibrium in Non-Partitioning Strategies," Discussion Papers 929, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    • Handle: RePEc:nwu:cmsems:929
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    References listed on IDEAS

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    1. Simon, Leo K. & Zame, William R., 1987. "Discontinous Games and Endogenous Sharing Rules," Department of Economics, Working Paper Series qt8n46v2wv, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    2. Paul Milgrom & Robert J. Weber, 1981. "Topologies on Information and Strategies in Games with Incomplete Information," Discussion Papers 463, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
    4. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    5. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-872, July.
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