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Equilibrium Selection in Global Games with Strategic Complementarities

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Author Info
David M. Frankel (Tel Aviv University)
Stephen Morris (Cowles Foundation)
Ady Pauzner (Tel Aviv University)

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Abstract

We study games with strategic complementarities, arbitrary numbers of players and actions, and slightly noisy payoff signals. We prove limit uniqueness: as the signal noise vanishes, the game has a unique strategy profile that survives iterative dominance. This generalizes a result of Carlsson and van Damme (1993) for two player, two action games. Te surviving profile, however, may depend on fine details of the structure of the noise. We provide sufficient conditions on payoffs for there to be noise-independent selection.

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File URL: http://cowles.econ.yale.edu/P/cd/d13a/d1336.pdf
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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1336.

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Length: 62 pages
Date of creation: Nov 2001
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Publication status: Published in Journal of Economic Theory, 108, 2003
Handle: RePEc:cwl:cwldpp:1336

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Related research
Keywords: Equilibrium Selection Global Games Strategic Complementarities Supermodular Games

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Stephen Morris & Hyun Song Shin, 1999. "Coordination Risk and the Price of Debt," Cowles Foundation Discussion Papers 1241, Cowles Foundation, Yale University. [Downloadable!]
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  2. Ui, Takashi, 2001. "Robust Equilibria of Potential Games," Econometrica, Econometric Society, vol. 69(5), pages 1373-80, September.
  3. Giancarlo Corsetti & Amil Dasgupta & Stephen Morris & Hyun Song Shin, 2004. "Does One Soros Make a Difference? A Theory of Currency Crises with Large and Small Traders," Review of Economic Studies, Blackwell Publishing, vol. 71(1), pages 87-113, 01. [Downloadable!] (restricted)
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  4. Atsushi Kajii & Stephen Morris, 1997. "The Robustness of Equilibria to Incomplete Information," Econometrica, Econometric Society, vol. 65(6), pages 1283-1310, November.
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  5. Akihiko Matsui & Kiminori Matsuyama, 1990. "An Approach to Equilibrium Selection," Discussion Papers 970, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  6. Morris, S & Song Shin, H, 1996. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," Economics Papers 126, Economics Group, Nuffield College, University of Oxford.
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  7. Stephen Morris & Hyun S Shin, 2001. "Global Games: Theory and Applications," Levine's Working Paper Archive 122247000000001080, UCLA Department of Economics. [Downloadable!]
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  8. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-59, June. [Downloadable!] (restricted)
  9. Burdzy, Krzysztof & Frankel, David M & Pauzner, Ady, 2001. "Fast Equilibrium Selection by Rational Players Living in a Changing World," Econometrica, Econometric Society, vol. 69(1), pages 163-89, January.
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  10. Stephen Morris & Takashi Ui, 2003. "Generalized Potentials and Robust Sets of Equilibria," Cowles Foundation Discussion Papers 1394, Cowles Foundation, Yale University. [Downloadable!]
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  11. Rubinstein, Ariel, 1989. "The Electronic Mail Game: Strategic Behavior under "Almost Common Knowledge."," American Economic Review, American Economic Association, vol. 79(3), pages 385-91, June. [Downloadable!] (restricted)
  12. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September. [Downloadable!] (restricted)
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  13. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-89, July.
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  14. Morris, Stephen & Rob, Rafael & Shin, Hyun Song, 1995. "Dominance and Belief Potential," Econometrica, Econometric Society, vol. 63(1), pages 145-57, January. [Downloadable!] (restricted)
  15. David Frankel & Ady Pauzner, 2000. "Resolving Indeterminacy In Dynamic Settings: The Role Of Shocks," The Quarterly Journal of Economics, MIT Press, vol. 115(1), pages 285-304, February. [Downloadable!] (restricted)
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