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Subjective Games and Equilibria: I+

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  • Ehud Kalai
  • Ehud Lehrer

Abstract

Applying the concepts of Nash, Bayesian or correlated equilibrium to analysis of strategic interaction, requires that players possess objective knowledge of the game and opponents' strategies. Such knowledge is often not available. The proposed notions of subjective games, and subjective Nash and correlated equilibria, replace unavailable objective knowledge by subjective assessments. When playing such a game repeatedly, subjective optimizers will converge to a subjective equilibrium. We apply this approach to some well known examples including a single multi-arm bandit player, multi-person mulit-arm bandit games, and repeated Cournot oligopoly games.

Suggested Citation

  • Ehud Kalai & Ehud Lehrer, 1993. "Subjective Games and Equilibria: I+," Discussion Papers 1077, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:1077
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    Cited by:

    1. Michael Peters, 1995. "On the Equivalence of Walrasian and Non-Walrasian Equilibria in Contract Markets: The case of Complete Contracts," GE, Growth, Math methods 9507001, EconWPA.
    2. Fudenberg, Drew & Kreps, David M., 1995. "Learning in extensive-form games I. Self-confirming equilibria," Games and Economic Behavior, Elsevier, vol. 8(1), pages 20-55.
    3. Knez, Marc & Simester, Duncan, 2001. "Firm-Wide Incentives and Mutual Monitoring at Continental Airlines," Journal of Labor Economics, University of Chicago Press, vol. 19(4), pages 743-772, October.

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