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Equilibrium selection in global games with strategic complementarities

  • Frankel, David M.
  • Morris, Stephen
  • Pauzner, Ady

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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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 108 (2003)
Issue (Month): 1 (January)
Pages: 1-44

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Handle: RePEc:eee:jetheo:v:108:y:2003:i:1:p:1-44
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Matsui Akihiko & Matsuyama Kiminori, 1995. "An Approach to Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 65(2), pages 415-434, April.
  2. Morris, Stephen & Rob, Rafael & Shin, Hyun Song, 1995. "Dominance and Belief Potential," Econometrica, Econometric Society, vol. 63(1), pages 145-57, January.
  3. Frankel, David M. & Burdzy, Krzysztof & Pauzner, Ady, 2001. "Fast Equilibrium Selection by Rational Players Living in a Changing World," Staff General Research Papers 11923, Iowa State University, Department of Economics.
  4. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-59, June.
  5. Van Damme, E., 1991. "Equilibrium Selection in 2 x 2 Games," Papers 9108, Tilburg - Center for Economic Research.
  6. David Frankel & Ady Pauzner, 2000. "Resolving Indeterminacy in Dynamic Settings: The Role of Shocks," The Quarterly Journal of Economics, Oxford University Press, vol. 115(1), pages 285-304.
  7. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  8. Morris, Stephen & Shin, Hyun Song, 2004. "Coordination risk and the price of debt," European Economic Review, Elsevier, vol. 48(1), pages 133-153, February.
  9. Ui, Takashi, 2001. "Robust Equilibria of Potential Games," Econometrica, Econometric Society, vol. 69(5), pages 1373-80, September.
  10. Atsushi Kajii & Stephen Morris, . ""The Robustness of Equilibria to Incomplete Information*''," CARESS Working Papres 95-18, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. Stephen Morris & Hyun S Shin, 2001. "Global Games: Theory and Applications," Levine's Working Paper Archive 122247000000001080, David K. Levine.
  16. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
  17. Stephen Morris & Takashi Ui, 2003. "Generalized Potentials and Robust Sets of Equilibria," Levine's Working Paper Archive 506439000000000325, David K. Levine.
  18. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384.
  19. Carlsson, H. & Van Dame, E., 1991. "Equilibrium Selection in Stag Hunt Games," Papers 9170, Tilburg - Center for Economic Research.
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