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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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    References listed on IDEAS

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    1. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Uncertainty," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 5, pages 145-154, World Scientific Publishing Co. Pte. Ltd..
    2. 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.
    3. Harsanyi, John C, 1995. "Games with Incomplete Information," American Economic Review, American Economic Association, vol. 85(3), pages 291-303, June.
    4. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    5. Forges, Francoise & Minelli, Enrico, 1998. "Self-Fulfilling Mechanisms in Bayesian Games," Games and Economic Behavior, Elsevier, vol. 25(2), pages 292-310, November.
    6. Peck, James, 2003. "Large market games with demand uncertainty," Journal of Economic Theory, Elsevier, vol. 109(2), pages 283-299, April.
    7. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
    8. SCHMEIDLER, David, 1973. "Equilibrium points of nonatomic games," LIDAM Reprints CORE 146, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Richard McLean & Andrew Postlewaite, 2002. "Informational Size and Incentive Compatibility," Econometrica, Econometric Society, vol. 70(6), pages 2421-2453, November.
    10. Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
    11. Ehud Kalai, 2004. "Large Robust Games," Econometrica, Econometric Society, vol. 72(6), pages 1631-1665, November.
    12. 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.
    13. 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.
    14. Crawford, Vincent P & Sobel, Joel, 1982. "Strategic Information Transmission," Econometrica, Econometric Society, vol. 50(6), pages 1431-1451, November.
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    Cited by:

    1. 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.
    2. Ehud Kalai, 2006. "Structural Robustness of Large Games," Discussion Papers 1431, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    3. Azrieli, Yaron, 2009. "Categorizing others in a large game," Games and Economic Behavior, Elsevier, vol. 67(2), pages 351-362, November.
    4. 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.
    5. Deb, Joyee & Kalai, Ehud, 2015. "Stability in large Bayesian games with heterogeneous players," Journal of Economic Theory, Elsevier, vol. 157(C), pages 1041-1055.
    6. Valeska Groenert, 2013. "Trimmed equilibrium," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(1), pages 99-114, February.
    7. Gradwohl, Ronen & Reingold, Omer, 2010. "Partial exposure in large games," Games and Economic Behavior, Elsevier, vol. 68(2), pages 602-613, March.
    8. Daskalakis, Constantinos & Papadimitriou, Christos H., 2015. "Approximate Nash equilibria in anonymous games," Journal of Economic Theory, Elsevier, vol. 156(C), pages 207-245.
    9. 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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