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Equilibrium Selection in Global Games with Strategic Complementarities

Listed author(s):
  • David M. Frankel

    (Tel Aviv University)

  • Stephen Morris

    (Yale University)

  • Ady Pauzner

    (Tel Aviv University)

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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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
Handle: RePEc:ecm:wc2000:1490
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  1. Ui, Takashi, 2001. "Robust Equilibria of Potential Games," Econometrica, Econometric Society, vol. 69(5), pages 1373-1380, September.
  2. 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).
  3. Atsushi Kajii & Stephen Morris, "undated". "The Robustness of Equilibria to Incomplete Information," Penn CARESS Working Papers ed504c985fc375cbe719b3f60, Penn Economics Department.
  4. Milgrom, Paul & Roberts, John, 1994. "Comparing Equilibria," American Economic Review, American Economic Association, vol. 84(3), pages 441-459, June.
  5. Frankel, David M. & Pauzner, Ady, 2000. "Resolving Indeterminacy in Dynamic Settings: The Role of Shocks," Staff General Research Papers Archive 11924, Iowa State University, Department of Economics.
  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. Akihiko Matsui & Kiminori Matsuyama, 1991. "An Approach to Equilibrium Selection," Discussion Papers 1065, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Hans Carlsson & Eric van Damme, 1993. "Global Games and Equilibrium Selection," Levine's Working Paper Archive 122247000000001088, David K. Levine.
  9. Carlsson, H. & Van Dame, E., 1991. "Equilibrium Selection in Stag Hunt Games," Papers 9170, Tilburg - Center for Economic Research.
  10. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-597, June.
  11. Rubinstein, Ariel, 1989. "The Electronic Mail Game: Strategic Behavior under "Almost Common Knowledge."," American Economic Review, American Economic Association, vol. 79(3), pages 385-391, June.
  12. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
  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. Stephen Morris & Takashi Ui, 2003. "Generalized Potentials and Robust Sets of Equilibria," Cowles Foundation Discussion Papers 1394, Cowles Foundation for Research in Economics, Yale University.
  15. Frankel, David M. & Burdzy, Krzysztof & Pauzner, Ady, 2001. "Fast Equilibrium Selection by Rational Players Living in a Changing World," Staff General Research Papers Archive 11923, Iowa State University, Department of Economics.
  16. 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.
  17. S. Morris & R. Rob & H. Shin, 2010. "p-dominance and Belief Potential," Levine's Working Paper Archive 505, David K. Levine.
  18. Morris, Stephen & Shin, Hyun Song, 2004. "Coordination risk and the price of debt," European Economic Review, Elsevier, vol. 48(1), pages 133-153, February.
  19. 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.
  20. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
  21. Van Damme, E., 1991. "Equilibrium Selection in 2 x 2 Games," Papers 9108, Tilburg - Center for Economic Research.
  22. Kim, Youngse, 1996. "Equilibrium Selection inn-Person Coordination Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 203-227, August.
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