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Partial exposure in large games

  • Gradwohl, Ronen
  • Reingold, Omer
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    In this work we introduce the notion of partial exposure, in which the players of a simultaneous-move Bayesian game are exposed to the realized types and chosen actions of a subset of the other players. We show that in any large simultaneous-move game, each player has very little regret even after being partially exposed to other players. If players are given the opportunity to be exposed to others at the expense of a small decrease in utility, players will decline this opportunity, and the original Nash equilibria of the game will survive.

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    File URL: http://www.sciencedirect.com/science/article/B6WFW-4X9NV74-1/2/f266f75c87711a308e3291c213566204
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    Article provided by Elsevier in its journal Games and Economic Behavior.

    Volume (Year): 68 (2010)
    Issue (Month): 2 (March)
    Pages: 602-613

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    Handle: RePEc:eee:gamebe:v:68:y:2010:i:2:p:602-613
    Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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    1. Ehud Kalai, 2004. "Large Robust Games," Econometrica, Econometric Society, vol. 72(6), pages 1631-1665, November.
    2. Joseph Y. Halpern, 2004. "A Computer Scientist Looks at Game Theory," Game Theory and Information 0411002, EconWPA.
    3. Edward Cartwright & Myrna Wooders, 2003. "On Equilibrium in Pure Strategies in Games with Many Players," Working Papers 2003.122, Fondazione Eni Enrico Mattei.
    4. Ehud Kalai, 2005. "Partially-Specified Large Games," Discussion Papers 1403, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Myrna Wooders & Edward Cartwright & Reinhard Selten, 2005. "Behavioral Conformity in Games with Many Players," Vanderbilt University Department of Economics Working Papers 0513, Vanderbilt University Department of Economics.
    6. Al-Najjar, Nabil I. & Smorodinsky, Rann, 2000. "Pivotal Players and the Characterization of Influence," Journal of Economic Theory, Elsevier, vol. 92(2), pages 318-342, June.
    7. Azrieli, Yaron, 2009. "Categorizing others in a large game," Games and Economic Behavior, Elsevier, vol. 67(2), pages 351-362, November.
    8. Blonski, Matthias, 2000. "Characterization of pure strategy equilibria in finite anonymous games," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 225-233, October.
    9. Mailath, George J & Postlewaite, Andrew, 1990. "Asymmetric Information Bargaining Problems with Many Agents," Review of Economic Studies, Wiley Blackwell, vol. 57(3), pages 351-67, July.
    10. Carmona, Guilherme, 2008. "Purification of Bayesian-Nash equilibria in large games with compact type and action spaces," Journal of Mathematical Economics, Elsevier, vol. 44(12), pages 1302-1311, December.
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