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Partially-Specified Large Games

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  • Ehud Kalai

Abstract

The sensitivity of Nash equilibrium to strategic and informational details presents a difficulty in applying it to games which are not fully speci?ed. Structurally-robust Nash equilibria are less sensitive to such details. More- over, they arrise naturally in important classes of games that have many semi- anonymous players. The paper describes this condition and its implications.

Suggested Citation

  • Ehud Kalai, 2005. "Partially-Specified Large Games," Discussion Papers 1403, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:1403
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    1. Green, Jerry R & Laffont, Jean-Jacques, 1987. "Posterior Implementability in a Two-Person Decision Problem," Econometrica, Econometric Society, vol. 55(1), pages 69-94, January.
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    8. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    9. Thomas J. Sargent & LarsPeter Hansen, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May.
    10. Ehud Kalai, 2004. "Large Robust Games," Econometrica, Econometric Society, vol. 72(6), pages 1631-1665, November.
    11. Jordan, James S. & Radner, Roy, 1982. "Rational expectations in microeconomic models: An overview," Journal of Economic Theory, Elsevier, vol. 26(2), pages 201-223, April.
    12. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
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    Cited by:

    1. Julio González-Díaz & Federica Briata & Ignacio García-Jurado & Fioravante Patrone, 2012. "Essential collections for equilibrium concepts," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(3), pages 517-552, August.
    2. Jiang, Albert Xin & Leyton-Brown, Kevin & Bhat, Navin A.R., 2011. "Action-Graph Games," Games and Economic Behavior, Elsevier, vol. 71(1), pages 141-173, January.
    3. Ehud Kalai, 2006. "Structural Robustness of Large Games," Discussion Papers 1431, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Valeska Groenert, 2013. "Trimmed equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 99-114, February.
    5. Gradwohl, Ronen & Reingold, Omer, 2010. "Partial exposure in large games," Games and Economic Behavior, Elsevier, vol. 68(2), pages 602-613, March.
    6. Azrieli, Yaron, 2009. "Categorizing others in a large game," Games and Economic Behavior, Elsevier, vol. 67(2), pages 351-362, November.
    7. Daskalakis, Constantinos & Papadimitriou, Christos H., 2015. "Approximate Nash equilibria in anonymous games," Journal of Economic Theory, Elsevier, vol. 156(C), pages 207-245.
    8. Azrieli, Yaron, 2007. "Thinking categorically about others: A conjectural equilibrium approach," MPRA Paper 3843, University Library of Munich, Germany.

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    Keywords

    Nash equilibrium; ex-post Nash; structural robustness; metagames;

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