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Hidden symmetries and focal points

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  • Alós-Ferrer, Carlos
  • Kuzmics, Christoph

Abstract

We provide a general formal framework to define and analyze the concepts of focal points and frames for normal form games. The information provided by a frame is captured by a symmetry structure which is consistent with the payoff structure of the game. The set of symmetry structures has itself a clear structure (a lattice). Focal points are strategy profiles which respect the symmetry structure and are chosen according to some meta-norm, which is not particular to the framed game at hand.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 148 (2013)
Issue (Month): 1 ()
Pages: 226-258

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Handle: RePEc:eee:jetheo:v:148:y:2013:i:1:p:226-258

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Web page: http://www.elsevier.com/locate/inca/622869

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Keywords: Symmetry; Focal points; Frames; Nash equilibria;

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References

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  1. Blume, Andreas, 1998. "Coordination and Learning with a Partial Language," Working Papers 98-11, University of Iowa, Department of Economics.
  2. Aumann, Robert & Brandenburger, Adam, 1995. "Epistemic Conditions for Nash Equilibrium," Econometrica, Econometric Society, vol. 63(5), pages 1161-80, September.
  3. Sugden, Robert, 1995. "A Theory of Focal Points," Economic Journal, Royal Economic Society, vol. 105(430), pages 533-50, May.
  4. 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.
  5. Maarten Janssen, 2001. "Rationalizing Focal Points," Theory and Decision, Springer, vol. 50(2), pages 119-148, March.
  6. Binmore, Ken & Samuelson, Larry, 2006. "The evolution of focal points," Games and Economic Behavior, Elsevier, vol. 55(1), pages 21-42, April.
  7. Casajus, Andre, 2000. "Focal Points in Framed Strategic Forms," Games and Economic Behavior, Elsevier, vol. 32(2), pages 263-291, August.
  8. Mehta, Judith & Starmer, Chris & Sugden, Robert, 1994. "The Nature of Salience: An Experimental Investigation of Pure Coordination Games," American Economic Review, American Economic Association, vol. 84(3), pages 658-73, June.
  9. Crawford, Vincent P & Haller, Hans, 1990. "Learning How to Cooperate: Optimal Play in Repeated Coordination Games," Econometrica, Econometric Society, vol. 58(3), pages 571-95, May.
  10. S. Illeris & G. Akehurst, 2002. "Introduction," The Service Industries Journal, Taylor & Francis Journals, vol. 22(1), pages 1-3, January.
  11. Blume, Andreas & Gneezy, Uri, 2010. "Cognitive forward induction and coordination without common knowledge: An experimental study," Games and Economic Behavior, Elsevier, vol. 68(2), pages 488-511, March.
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Citations

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Cited by:
  1. Antoni Bosch-Domènech & Nicolaas J. Vriend, 2008. "On the role of non-equilibrium focal points as coordination devices," Economics Working Papers 1064, Department of Economics and Business, Universitat Pompeu Fabra.
  2. Dietmar Fehr & Frank Heinemann & Aniol Llorente-Saguer, 2011. "The Power of Sunspots: An Experimental Analysis," Working Paper Series of the Max Planck Institute for Research on Collective Goods 2011_33, Max Planck Institute for Research on Collective Goods.
  3. Fahrenberger, Theresa & Gersbach, Hans, 2010. "Minority voting and long-term decisions," Games and Economic Behavior, Elsevier, vol. 69(2), pages 329-345, July.
  4. Christoph Kuzmics & Thomas Palfrey & Brian W. Rogers, 2012. "Symmetric play in repeated allocation games," Working Papers 468, Bielefeld University, Center for Mathematical Economics.
  5. Camille Cornand & Frank Heinemann, 2014. "Measuring Agents' Reaction to Private and Public Information in Games with Strategic Complementarities," Working Papers halshs-00925018, HAL.
  6. Choi, Syngjoo & Gale, Douglas & Kariv, Shachar & Palfrey, Thomas, 2011. "Network architecture, salience and coordination," Games and Economic Behavior, Elsevier, vol. 73(1), pages 76-90, September.

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