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Characterising Equilibrium Selection in Global Games with Strategic Complementarities

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  • Christian Basteck
  • Tijmen R. Daniëls
  • Frank Heinemann

Abstract

Global games are widely used for equilibrium selection to predict behaviour in complete information games with strategic complementarities. We establish two results on the global game selection. First, we show that it is independent of the payoff functions of the global game embedding, though it may depend on the noise distribution. Second, we give a simple sufficient criterion for noise independence in many action games. A many action game may be noise independent if it can be suitably decomposed into smaller (say, binary action) games, for which there are simple criteria guaranteeing noise independence. We delineate the games where noise independence may be established by counting the number of players or actions. In addition, we give an elementary proof that robustness to incomplete information implies noise independence.

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Bibliographic Info

Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2010-008.

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Length: 36 pages
Date of creation: Jan 2010
Date of revision:
Handle: RePEc:hum:wpaper:sfb649dp2010-008

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Keywords: global games; equilibrium selection; strategic complementarities;

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  1. Atsushi Kajii & Stephen Morris, . "The Robustness of Equilibria to Incomplete Information," Penn CARESS Working Papers ed504c985fc375cbe719b3f60, Penn Economics Department.
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  4. Frankel, David M. & Morris, Stephen & Pauzner, Ady, 2003. "Equilibrium Selection in Global Games with Strategic Complementarities," Staff General Research Papers 11920, Iowa State University, Department of Economics.
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  7. 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.
  8. Corsetti, Giancarlo & Dasgupta, Amil & Morris, Stephen & Shin, Hyun Song, 2000. "Does One Soros Make a Difference? A Theory of Currency Crises with Large and Small Traders," CEPR Discussion Papers 2610, C.E.P.R. Discussion Papers.
  9. Christian Basteck & Tijmen R. Daniëls, 2010. "Every Symmetric 3 x 3 Global Game of Strategic Complementarities Is Noise Independent," SFB 649 Discussion Papers SFB649DP2010-061, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
  10. Basteck, Christian & Daniëls, Tijmen R. & Heinemann, Frank, 2013. "Characterising equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2620-2637.
  11. Carlsson, H. & Damme, E.E.C. van, 1990. "Global games and equilibrium selection," Discussion Paper 1990-52, Tilburg University, Center for Economic Research.
  12. Van Huyck, John B & Battalio, Raymond C & Beil, Richard O, 1990. "Tacit Coordination Games, Strategic Uncertainty, and Coordination Failure," American Economic Review, American Economic Association, vol. 80(1), pages 234-48, March.
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  14. Oyama, Daisuke & Tercieux, Olivier, 2009. "Iterated potential and robustness of equilibria," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1726-1769, July.
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  17. Bernardo Guimaraes & Stephen Morris, 2005. "Risk and Wealth in a Model of Self-Fulfilling Currency Attacks," Levine's Bibliography 122247000000000790, UCLA Department of Economics.
  18. Cukierman, Alex & Goldstein, Itay & Spiegel, Yossi, 2003. "The Choice of Exchange Rate Regime and Speculative Attacks," CEPR Discussion Papers 3714, C.E.P.R. Discussion Papers.
  19. Bryant, John, 1983. "A Simple Rational Expectations Keynes-Type Model," The Quarterly Journal of Economics, MIT Press, vol. 98(3), pages 525-28, August.
  20. Itay Goldstein, 2005. "Strategic Complementarities and the Twin Crises," Economic Journal, Royal Economic Society, vol. 115(503), pages 368-390, 04.
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