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Evolutionary stability of discrimination under observability

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  • Herold, Florian
  • Kuzmics, Christoph

Abstract

We study the evolution of preferences under perfect and almost perfect observability in symmetric 2-player games. We demonstrate that if nature can choose from a sufficiently general preference space, which includes preferences over outcomes that may depend on the opponent's preference-type, then, in most games, only discriminating preferences (treating different types of opponents differently in the same situation) can be evolutionary stable and some discriminating types are stable in a very strong sense in all games. We use these discriminating types to show that any symmetric outcome which gives players more than their minmax value in material payoffs (fitness) can be seen as equilibrium play of a player population with such strongly stable preferences.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 67 (2009)
Issue (Month): 2 (November)
Pages: 542-551

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Handle: RePEc:eee:gamebe:v:67:y:2009:i:2:p:542-551

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Web page: http://www.elsevier.com/locate/inca/622836

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Keywords: Evolution of preferences Observability Discrimination Stability;

References

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  1. Ok, Efe A. & Vega-Redondo, Fernando, 2001. "On the Evolution of Individualistic Preferences: An Incomplete Information Scenario," Journal of Economic Theory, Elsevier, vol. 97(2), pages 231-254, April.
  2. Armin Falk & Ernst Fehr & Urs Fischbacher, 2003. "On the Nature of Fair Behavior," Economic Inquiry, Western Economic Association International, vol. 41(1), pages 20-26, January.
  3. Sethi, Rajiv & Somanathan, E., 2001. "Preference Evolution and Reciprocity," Journal of Economic Theory, Elsevier, vol. 97(2), pages 273-297, April.
  4. Binmore, Kenneth G. & Samuelson, Larry, 1992. "Evolutionary stability in repeated games played by finite automata," Journal of Economic Theory, Elsevier, vol. 57(2), pages 278-305, August.
  5. Wolfgang Pesendorfer & Faruk Gul, 2007. "The Canonical Space for Behavioral Types," Levine's Bibliography 843644000000000345, UCLA Department of Economics.
  6. Kockesen, Levent & Ok, Efe A. & Sethi, Rajiv, 2000. "Evolution of Interdependent Preferences in Aggregative Games," Games and Economic Behavior, Elsevier, vol. 31(2), pages 303-310, May.
  7. Aviad Heifetz & Chris Shannon & Yossi Spiegel, 2005. "The Dynamic Evolution of Preferences," Discussion Papers 1415, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Eddie Dekel & Jeffrey C. Ely & Okan Yilankaya, 2007. "Evolution of Preferences -super-1," Review of Economic Studies, Oxford University Press, vol. 74(3), pages 685-704.
  9. Fudenberg, Drew & Maskin, Eric, 1990. "Evolution and Cooperation in Noisy Repeated Games," American Economic Review, American Economic Association, vol. 80(2), pages 274-79, May.
  10. Ely, Jeffrey C. & Yilankaya, Okan, 2001. "Nash Equilibrium and the Evolution of Preferences," Journal of Economic Theory, Elsevier, vol. 97(2), pages 255-272, April.
  11. A. J. Robson, 2010. "Efficiency in Evolutionary Games: Darwin, Nash and the Secret Handshake," Levine's Working Paper Archive 540, David K. Levine.
  12. Banerjee, Abhijit & Weibull, Jörgen W., 1993. "Evolutionary Selection with Discriminating Players," Working Paper Series 375, Research Institute of Industrial Economics.
  13. Gary Charness & David I. Levine, 2007. "Intention and Stochastic Outcomes: An Experimental study," Economic Journal, Royal Economic Society, vol. 117(522), pages 1051-1072, 07.
  14. Abhijit Banerjee & J�rgen W. Weibull, . "Neutrally Stable Outcomes in Cheap Talk Coordination Games," ELSE working papers 012, ESRC Centre on Economics Learning and Social Evolution.
  15. Binmore, Ken & Samuelson, Larry, 1999. "Evolutionary Drift and Equilibrium Selection," Review of Economic Studies, Wiley Blackwell, vol. 66(2), pages 363-93, April.
  16. Bester, Helmut & Guth, Werner, 1998. "Is altruism evolutionarily stable?," Journal of Economic Behavior & Organization, Elsevier, vol. 34(2), pages 193-209, February.
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Citations

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Cited by:
  1. Astrid Gamba, 2011. "On the Evolution of Preferences," Jena Economic Research Papers 2011-032, Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics.
  2. Schliffke, Philipp, 2012. "The co-evolution of reciprocity-based wage offers and effort choices," Economics Letters, Elsevier, vol. 117(1), pages 326-329.
  3. Norman, Thomas W.L., 2012. "Equilibrium selection and the dynamic evolution of preferences," Games and Economic Behavior, Elsevier, vol. 74(1), pages 311-320.
  4. Poulsen, Anders & Poulsen, Odile, 2010. "Prisoner's Dilemma payoffs and the evolution of co-operative preferences," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 39(2), pages 158-162, April.

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