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Common Belief Foundations of Global Games

  • Stephen Morris
  • Hyun Song Shin

We study coordination games under general type spaces. We characterize rationalizable actions in terms of the properties of the belief hierarchies and show that there is a unique rationalizable action played whenever there is approximate common certainty of rank beliefs, defined as the probability the players assign to their payoff parameters being higher than their opponents'. We argue that this is the driving force behind selection results for the specific type spaces in the global games literature.

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Paper provided by UCLA Department of Economics in its series Levine's Bibliography with number 122247000000001638.

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Date of creation: 31 Oct 2007
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Handle: RePEc:cla:levrem:122247000000001638
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  1. 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.
  2. Laurent Mathevet, 2010. "A contraction principle for finite global games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(3), pages 539-563, March.
  3. Mason, Robin & Valentinyi, Ã kos, 2007. "The existence and uniqueness of monotone pure strategy equilibrium in Bayesian games," Discussion Paper Series In Economics And Econometrics 0710, Economics Division, School of Social Sciences, University of Southampton.
  4. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  5. Stephen Morris & Hyun Song Shin, 2001. "Rethinking Multiple Equilibria in Macroeconomic Modeling," NBER Chapters, in: NBER Macroeconomics Annual 2000, Volume 15, pages 139-182 National Bureau of Economic Research, Inc.
  6. 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.
  7. George-Marios Angeletos & Ivan Werning, 2004. "Crises and Prices: Information Aggregation, Multiplicity and Volatility," NBER Working Papers 11015, National Bureau of Economic Research, Inc.
  8. Morris, Stephen, 2014. "Coordination, timing and common knowledge," Research in Economics, Elsevier, vol. 68(4), pages 306-314.
  9. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  10. Jonathan Weinstein & Muhamet Yildiz, 2007. "A Structure Theorem for Rationalizability with Application to Robust Predictions of Refinements," Econometrica, Econometric Society, vol. 75(2), pages 365-400, 03.
  11. Van Zandt, Timothy & Vives, Xavier, 2007. "Monotone equilibria in Bayesian games of strategic complementarities," Journal of Economic Theory, Elsevier, vol. 134(1), pages 339-360, May.
  12. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
  13. Stephen Morris & Hyun Song Shin, 2012. "Contagious Adverse Selection," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(1), pages 1-21, January.
  14. Aleh Tsyvinski & Arijit Mukherji & Christian Hellwig, 2006. "Self-Fulfilling Currency Crises: The Role of Interest Rates," American Economic Review, American Economic Association, vol. 96(5), pages 1769-1787, December.
  15. Atsushi Kajii & Stephen Morris, 1997. "The Robustness of Equilibria to Incomplete Information," Econometrica, Econometric Society, vol. 65(6), pages 1283-1310, November.
  16. Eddie Dekel & Drew Fudenberg & Stephen Morris, 2006. "Interim Correlated Rationalizability," Levine's Bibliography 122247000000001188, UCLA Department of Economics.
  17. Aviad Heifetz & Zvika Neeman, 2006. "On the Generic (Im)Possibility of Full Surplus Extraction in Mechanism Design," Econometrica, Econometric Society, vol. 74(1), pages 213-233, 01.
  18. David M. Frankel & Stephen Morris & Ady Pauzner, 2000. "Equilibrium Selection in Global Games with Strategic Complementarities," Econometric Society World Congress 2000 Contributed Papers 1490, Econometric Society.
  19. George-Marios Angeletos & Christian Hellwig & Alessandro Pavan, 2004. "Coordination and Policy Traps," Levine's Bibliography 122247000000000294, UCLA Department of Economics.
  20. Michael Woodford, 2005. "Central Bank Communication and Policy Effectiveness," NBER Working Papers 11898, National Bureau of Economic Research, Inc.
  21. Argenziano, Rossella, 2007. "Differentiated Networks: Equilibrium and Efficiency," Economics Discussion Papers 2646, University of Essex, Department of Economics.
  22. Sergei Izmalkov & Muhamet Yildiz, 2010. "Investor Sentiments," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 21-38, February.
  23. Van Zandt, Timothy, 2010. "Interim Bayesian Nash equilibrium on universal type spaces for supermodular games," Journal of Economic Theory, Elsevier, vol. 145(1), pages 249-263, January.
  24. Guillaume Plantin & Haresh Sapra & Hyun Song Shin, 2008. "Marking-to-Market: Panacea or Pandora's Box?," Journal of Accounting Research, Wiley Blackwell, vol. 46(2), pages 435-460, 05.
  25. Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
  26. Hellwig, Christian, 2002. "Public Information, Private Information, and the Multiplicity of Equilibria in Coordination Games," Journal of Economic Theory, Elsevier, vol. 107(2), pages 191-222, December.
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