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Equilibrium Selection in Global Games with Strategic Complementarities

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  • David M. Frankel

    (Tel Aviv University)

  • Stephen Morris

    (Yale University)

  • Ady Pauzner

    (Tel Aviv University)

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 incomplete information game has a unique strategy profile that survives iterative dominance. This generalizes a result of Carlsson and van Damme for two player, two action games. The 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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Bibliographic Info

Paper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 1490.

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Date of creation: 01 Aug 2000
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Handle: RePEc:ecm:wc2000:1490

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  1. 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.
  2. Carlsson, H. & Damme, E.E.C. van, 1990. "Global games and equilibrium selection," Discussion Paper 1990-52, Tilburg University, Center for Economic Research.
  3. Van Damme, E., 1991. "Equilibrium Selection in 2 x 2 Games," Papers 9108, Tilburg - Center for Economic Research.
  4. Ui, Takashi, 2001. "Robust Equilibria of Potential Games," Econometrica, Econometric Society, vol. 69(5), pages 1373-80, September.
  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.
  6. S. Morris & R. Rob & H. Shin, 2010. "p-dominance and Belief Potential," Levine's Working Paper Archive 505, David K. Levine.
  7. 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.
  8. 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.
  9. 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, December.
  10. Morris, Stephen & Shin, Hyun Song, 1997. "Unique Equilibrium in a Model of Self-fulfilling Currency Attacks," CEPR Discussion Papers 1687, C.E.P.R. Discussion Papers.
  11. 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, Wiley Blackwell, vol. 71(1), pages 87-113, 01.
  12. Stephen Morris & Hyun Song Shin, 2001. "Coordination risk and the price of debt," LSE Research Online Documents on Economics 25046, London School of Economics and Political Science, LSE Library.
  13. Athey, S., 1997. "Sigle Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Working papers 97-11, Massachusetts Institute of Technology (MIT), Department of Economics.
  14. Vives, X., 1988. "Nash Equilibrium With Strategic Complementarities," UFAE and IAE Working Papers 107-88, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  15. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275, Cowles Foundation for Research in Economics, Yale University.
  16. Morris, Stephen & Ui, Takashi, 2005. "Generalized potentials and robust sets of equilibria," Journal of Economic Theory, Elsevier, vol. 124(1), pages 45-78, September.
  17. Carlsson, H. & Van Dame, E., 1991. "Equilibrium Selection in Stag Hunt Games," Papers 9170, Tilburg - Center for Economic Research.
  18. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-59, June.
  19. 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.
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