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Evolutionary Stability in the Ultimatum Game

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  • Ralf Peters

    (University of Hamburg)

Abstract

Biologically motivated concepts of evolutionary stability, like the ESS, consider robustness against tiny invasions of mutants. This paper considers larger invasions and proposes an extended stability calculus. The new concept is applied to the ultimatum game and gives an evolutionary explanation for the emergence of egalitarian, "fair" behaviour.

Suggested Citation

  • Ralf Peters, 2000. "Evolutionary Stability in the Ultimatum Game," Group Decision and Negotiation, Springer, vol. 9(4), pages 315-324, July.
    • Handle: RePEc:spr:grdene:v:9:y:2000:i:4:d:10.1023_a:1008728906472
    DOI: 10.1023/A:1008728906472
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    References listed on IDEAS

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    1. Ralf Peters, 1997. "The Stability of Networks: an Evolutionary Approach to Standardization," Homo Oeconomicus, Institute of SocioEconomics, vol. 14, pages 347-355.
    2. Roth, Alvin E. & Erev, Ido, 1995. "Learning in extensive-form games: Experimental data and simple dynamic models in the intermediate term," Games and Economic Behavior, Elsevier, vol. 8(1), pages 164-212.
    3. Selten, Reinhard, 1988. "Evolutionary stability in extensive two-person games - correction and further development," Mathematical Social Sciences, Elsevier, vol. 16(3), pages 223-266, December.
    4. Bomze Immanuel M. & Weibull Jorgen W., 1995. "Does Neutral Stability Imply Lyapunov Stability?," Games and Economic Behavior, Elsevier, vol. 11(2), pages 173-192, November.
    5. Gale, John & Binmore, Kenneth G. & Samuelson, Larry, 1995. "Learning to be imperfect: The ultimatum game," Games and Economic Behavior, Elsevier, vol. 8(1), pages 56-90.
    6. Selten, Reinhard, 1983. "Evolutionary stability in extensive two-person games," Mathematical Social Sciences, Elsevier, vol. 5(3), pages 269-363, September.
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    Cited by:

    1. Gagen, Michael, 2013. "Isomorphic Strategy Spaces in Game Theory," MPRA Paper 46176, University Library of Munich, Germany.
    2. Napel, Stefan, 2003. "Aspiration adaptation in the ultimatum minigame," Games and Economic Behavior, Elsevier, vol. 43(1), pages 86-106, April.

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    More about this item

    Keywords

    evolutionary stability; ultimatum game; fairness; JEL classification; C72;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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