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History as a coordination device

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Author Info

  • Rossella Argenziano

    ()

  • Itzhak Gilboa

    ()

Abstract

Coordination games often have multiple equilibria. The selection of equilibrium raises the question of belief formation: how do players generate beliefs about the behavior of other players? This article takes the view that the answer lies in history, that is, in the outcomes of similar coordination games played in the past, possibly by other players. We analyze a simple model in which a large population plays a game that exhibits strategic complementarities. We assume a dynamic process that faces different populations with such games for randomly selected values of a parameter. We introduce a belief formation process that takes into account the history of similar games played in the past, not necessarily by the same population. We show that when history serves as a coordination device, the limit behavior depends on the way history unfolds, and cannot be determined from a-priori considerations. Copyright Springer Science+Business Media, LLC. 2012

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File URL: http://hdl.handle.net/10.1007/s11238-011-9264-5
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Bibliographic Info

Article provided by Springer in its journal Theory and Decision.

Volume (Year): 73 (2012)
Issue (Month): 4 (October)
Pages: 501-512

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Handle: RePEc:kap:theord:v:73:y:2012:i:4:p:501-512

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Web page: http://www.springerlink.com/link.asp?id=100341

Related research

Keywords: Belief formation; Similarity; Coordination games; Equilibrium selection;

References

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  1. Carlsson, H. & Damme, E.E.C. van, 1990. "Global games and equilibrium selection," Discussion Paper 1990-52, Tilburg University, Center for Economic Research.
  2. Matsui Akihiko & Matsuyama Kiminori, 1995. "An Approach to Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 65(2), pages 415-434, April.
  3. Jehiel, Philippe, 2005. "Analogy-based expectation equilibrium," Journal of Economic Theory, Elsevier, vol. 123(2), pages 81-104, August.
  4. 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.
  5. Itzhak Gilboa & Offer Lieberman & David Schmeidler, 2004. "Empirical Similarity," Levine's Bibliography 122247000000000684, UCLA Department of Economics.
  6. M. Li Calzi, 2010. "Fictitious Play By Cases," Levine's Working Paper Archive 407, David K. Levine.
  7. Gilboa, Itzhak & Matsui, Akihiko, 1991. "Social Stability and Equilibrium," Econometrica, Econometric Society, vol. 59(3), pages 859-67, May.
  8. Kandori, M. & Mailath, G.J., 1991. "Learning, Mutation, And Long Run Equilibria In Games," Papers 71, Princeton, Woodrow Wilson School - John M. Olin Program.
  9. Antoine Billot & Itzhak Gilboa & David Schmeidler & Dov Samet, 2004. "Probabilities as Similarity-Weighted Frequencies," Cowles Foundation Discussion Papers 1492, Cowles Foundation for Research in Economics, Yale University.
  10. Monderer, Dov & Shapley, Lloyd S., 1996. "Fictitious Play Property for Games with Identical Interests," Journal of Economic Theory, Elsevier, vol. 68(1), pages 258-265, January.
  11. 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.
  12. Katz, Michael L & Shapiro, Carl, 1986. "Technology Adoption in the Presence of Network Externalities," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 822-41, August.
  13. George-Marios Angeletos & Alessandro Pavan, 2007. "Dynamic Global Games of Regime Change: Learning, Multiplicity and Timing of Attacks," Discussion Papers 1497, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  14. George-Marios Angeletos & Christian Hellwig & Alessandro Pavan, 2007. "Dynamic Global Games of Regime Change: Learning, Multiplicity, and the Timing of Attacks," Econometrica, Econometric Society, vol. 75(3), pages 711-756, 05.
  15. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  16. Berger, Ulrich, 2008. "Learning in games with strategic complementarities revisited," Journal of Economic Theory, Elsevier, vol. 143(1), pages 292-301, November.
  17. Jakub Steiner & Colin Stewart, 2006. "Contagion through Learning," ESE Discussion Papers 151, Edinburgh School of Economics, University of Edinburgh, revised 10 Aug 2007.
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Citations

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Cited by:
  1. Jakub Steiner & Colin Stewart, 2006. "Contagion through Learning," ESE Discussion Papers 151, Edinburgh School of Economics, University of Edinburgh, revised 10 Aug 2007.
  2. Tom Wilkening, 2009. "The Informational Properties of Institutions: An Experimental Study of Persistence in Markets with Certification," Department of Economics - Working Papers Series 1087, The University of Melbourne.
  3. Jakub Steiner & Colin Stewart, 2007. "Learning by Similarity in Coordination Problems," CERGE-EI Working Papers wp324, The Center for Economic Research and Graduate Education - Economic Institute, Prague.
  4. Daron Acemoglu & Matthew O. Jackson, 2011. "History, Expectations, and Leadership in the Evolution of Social Norms," NBER Working Papers 17066, National Bureau of Economic Research, Inc.

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