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Structural Robustness of Large Games

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  • Ehud Kalai

Abstract

This short survey discusses recent findings on the robustness of Nash equilibria of strategic games with many semianonymous players. It describes the notion of structural robustness and its general consequences, as well as implications to particular games, such as ones played on the web and market games.

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Bibliographic Info

Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1431.

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Date of creation: Oct 2006
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Handle: RePEc:nwu:cmsems:1431

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Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014
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Web page: http://www.kellogg.northwestern.edu/research/math/
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Keywords: Nash Equilibrium; ex-post Nash; anonymous games; market games; rational expectations; structural robustness; information proofness; web games;

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References

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  1. Ehud Kalai & Ehud Lehrer, 1990. "Rational Learning Leads to Nash Equilibrium," Discussion Papers 925, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Dubey, Pradeep & Kaneko, Mamoru, 1985. "Information patterns and Nash equilibria in extensive games -- II," Mathematical Social Sciences, Elsevier, vol. 10(3), pages 247-262, December.
  3. Dirk Bergemann & Stephen Morris, 2003. "Robust Mechanism Design," Levine's Bibliography 666156000000000035, UCLA Department of Economics.
  4. M Ali Khan & Yeneng Sun, 1996. "Non-Cooperative Games with Many Players," Economics Working Paper Archive 382, The Johns Hopkins University,Department of Economics.
  5. 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 937-68, October.
  6. Pradeep Dubey & Mamoru Kaneko, 1983. "Information Patterns and Nash Equilibria in Extensive Games," Cowles Foundation Discussion Papers 676, Cowles Foundation for Research in Economics, Yale University.
  7. Ehud Kalai, 2002. "Large Robust Games," Discussion Papers 1350, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Dubey, Pradeep & Geanakoplos, John, 2003. "From Nash to Walras via Shapley-Shubik," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 391-400, July.
  9. Dubey, Pradeep & Mas-Colell, Andreau & Shubik, Martin, 1980. "Efficiency properties of strategies market games: An axiomatic approach," Journal of Economic Theory, Elsevier, vol. 22(2), pages 339-362, April.
  10. 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 345-61, March.
  11. Ehud Kalai, 2005. "Partially-Specified Large Games," Levine's Bibliography 784828000000000565, UCLA Department of Economics.
  12. 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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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, vol. 41(3), pages 517-552, August.

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