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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.

Suggested Citation

  • Herold, Florian & Kuzmics, Christoph, 2009. "Evolutionary stability of discrimination under observability," Games and Economic Behavior, Elsevier, vol. 67(2), pages 542-551, November.
  • Handle: RePEc:eee:gamebe:v:67:y:2009:i:2:p:542-551
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Herold, Florian & Kuzmics, Christoph, 2016. "The evolution of taking roles," BERG Working Paper Series 115, Bamberg University, Bamberg Economic Research Group.
    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. 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.
    4. Heller, Yuval & Mohlin, Erik, 2015. "Stable Observable Behavior," MPRA Paper 63013, University Library of Munich, Germany.
    5. Astrid Gamba, 2011. "On the Evolution of Preferences," Jena Economic Research Papers 2011-032, Friedrich-Schiller-University Jena.
    6. Gauer, Florian & Kuzmics, Christoph, 2016. "Cognitive empathy in conflict situations," Center for Mathematical Economics Working Papers 551, Center for Mathematical Economics, Bielefeld University.
    7. Gamba, Astrid, 2013. "Learning and evolution of altruistic preferences in the Centipede Game," Journal of Economic Behavior & Organization, Elsevier, vol. 85(C), pages 112-117.
    8. Heller, Yuval & Sturrock, David, 2017. "Promises and Endogenous Reneging Costs," MPRA Paper 78803, University Library of Munich, Germany.
    9. Heller, Yuval & Mohlin, Erik, 2014. "Coevolution of Deception and Preferences: Darwin and Nash Meet Machiavelli," MPRA Paper 58255, University Library of Munich, Germany.
    10. Norman, Thomas W.L., 2012. "Equilibrium selection and the dynamic evolution of preferences," Games and Economic Behavior, Elsevier, vol. 74(1), pages 311-320.

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