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Noise-independent selection in global games and monotone potential maximizer: A symmetric 3×3 example

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  • Honda, Jun
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    Abstract

    This note studies the relationship between the global game and the generalized potential game approaches. We provide a non-degenerate example of a symmetric 3×3 supermodular game that has no monotone potential maximizer (MP-maximizer). Since the global-game solution for symmetric 3×3 supermodular games is independent of the noise distribution, this implies that MP-maximizer is not a necessary condition for global-game noise-independent selection.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0304406811000590
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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Mathematical Economics.

    Volume (Year): 47 (2011)
    Issue (Month): 6 ()
    Pages: 663-669

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    Handle: RePEc:eee:mateco:v:47:y:2011:i:6:p:663-669

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    Web page: http://www.elsevier.com/locate/jmateco

    Related research

    Keywords: Equilibrium selection; Global games; Supermodular games; Potential games; Monotone potential;

    References

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    1. Ui, Takashi, 2001. "Robust Equilibria of Potential Games," Econometrica, Econometric Society, vol. 69(5), pages 1373-80, September.
    2. Hofbauer, Josef & Sorger, Gerhard, 1999. "Perfect Foresight and Equilibrium Selection in Symmetric Potential Games," Journal of Economic Theory, Elsevier, vol. 85(1), pages 1-23, March.
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    5. Oyama, Daisuke & Takahashi, Satoru & Hofbauer, Josef, 2003. "Monotone Methods for Equilibrium Selection under Perfect Foresight Dynamics," MPRA Paper 6721, University Library of Munich, Germany.
    6. Hyun Song Shin & Giancarlo Corsetti & Amil Dasgupta & Stephen Morris, 2001. "Does One Soros Make a Difference? A Theory of Currency Crises with Large and Small Traders," FMG Discussion Papers dp372, Financial Markets Group.
    7. Frankel, David M. & Morris, Stephen & Pauzner, Ady, 2003. "Equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 108(1), pages 1-44, January.
    8. Hans Carlsson & Eric van Damme, 1993. "Global Games and Equilibrium Selection," Levine's Working Paper Archive 122247000000001088, David K. Levine.
    9. Matsui Akihiko & Matsuyama Kiminori, 1995. "An Approach to Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 65(2), pages 415-434, April.
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    11. Stephen Morris & Hyun Song Shin, 1999. "Coordination Risk and the Price of Debt," Cowles Foundation Discussion Papers 1241, Cowles Foundation for Research in Economics, Yale University.
    12. Christian Basteck & Tijmen R. Daniëls & Frank Heinemann, 2010. "Characterising Equilibrium Selection in Global Games with Strategic Complementarities," SFB 649 Discussion Papers SFB649DP2010-008, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    13. Goldstein, Itay & Pauzner, Ady, 2004. "Contagion of self-fulfilling financial crises due to diversification of investment portfolios," Journal of Economic Theory, Elsevier, vol. 119(1), pages 151-183, November.
    14. Goyal, Sanjeev & Janssen, Maarten C. W., 1997. "Non-Exclusive Conventions and Social Coordination," Journal of Economic Theory, Elsevier, vol. 77(1), pages 34-57, November.
    15. Oyama, Daisuke & Takahashi, Satoru, 2011. "On the relationship between robustness to incomplete information and noise-independent selection in global games," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 683-688.
    16. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
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    Cited by:
    1. Oyama, Daisuke & Takahashi, Satoru, 2011. "On the relationship between robustness to incomplete information and noise-independent selection in global games," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 683-688.

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