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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. Akihiko Matsui & Kiminori Matsuyama, 1990. "An Approach to Equilibrium Selection," Discussion Papers 970, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Hyun Song Shin & Stephen Morris, 2001. "Coordination Risk and the Price of Debt," FMG Discussion Papers dp373, Financial Markets Group.
  3. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275R, Cowles Foundation for Research in Economics, Yale University, revised Aug 2001.
  4. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  5. 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.
  6. Giancarlo Corsetti & Amil Dasgupta & Stephen Morris & Hyun Song Shin, 2001. "Does one Soros make a difference?: a theory of currency crises with large and small traders," LSE Research Online Documents on Economics 25045, London School of Economics and Political Science, LSE Library.
  7. 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.
  8. repec:ner:tilbur:urn:nbn:nl:ui:12-154416 is not listed on IDEAS
  9. 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.
  10. Carlsson, H. & van Damme, E.E.C., 1990. "Global games and equilibrium selection," Discussion Paper 1990-52, Tilburg University, Center for Economic Research.
  11. Atsushi Kajii & Stephen Morris, . "The Robustness of Equilibria to Incomplete Information," Penn CARESS Working Papers ed504c985fc375cbe719b3f60, Penn Economics Department.
  12. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-59, June.
  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. Giancarlo Corsetti & Amil Dasgupta & Stephen Morris & Shin, Hyun, 2000. "Does One Soros Make a Difference? A Theory of Currency Crises with Large and Small Traders," Cowles Foundation Discussion Papers 1273, Cowles Foundation for Research in Economics, Yale University.
  15. van Damme, E.E.C., 1991. "Equilibrium selection in 2 x 2 games," Other publications TiSEM 1c09a228-43e3-48ec-ad9c-0, Tilburg University, School of Economics and Management.
  16. S. Morris & R. Rob & H. Shin, 2010. "p-dominance and Belief Potential," Levine's Working Paper Archive 505, David K. Levine.
  17. Ui, Takashi, 2001. "Robust Equilibria of Potential Games," Econometrica, Econometric Society, vol. 69(5), pages 1373-80, September.
  18. Stephen Morris & Takashi Ui, 2003. "Generalized Potentials and Robust Sets of Equilibria," Levine's Working Paper Archive 506439000000000325, David K. Levine.
  19. Carlsson, H. & Van Dame, E., 1991. "Equilibrium Selection in Stag Hunt Games," Papers 9170, Tilburg - Center for Economic Research.
  20. Frankel, David M. & Pauzner, Ady, 2000. "Resolving Indeterminacy in Dynamic Settings: The Role of Shocks," Staff General Research Papers 11924, Iowa State University, Department of Economics.
  21. 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, June.
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