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Relative Payoffs and Evolutionary Spite. Evolutionary Equilibria in Games with Finitely Many Players

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Riechmann, Thomas

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Abstract

Evolutionary dynamics in games imply de-facto spiteful behavior of the players: In order to "survive" the evolutionary process, players must perform better than their opponents. This means they maximize relative rather than absolute payoffs. The paper shows that there is a class of games resulting in different equilibria if played by maximizers of absolute or of relative pay-offs, respectively. It is demonstrated that evolutionary equilibria (general ESS) can be found by formally maximizing relative payoffs. This method is analytically deduced and demonstrated at the examples of four well known games: the Cournot oligopoly game, the public goods game, the Tullock game of rent seeking and the Van Huyck et al. (1990) coordination game.

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Publisher Info
Paper provided by Universität Hannover, Wirtschaftswissenschaftliche Fakultät in its series Diskussionspapiere der Wirtschaftswissenschaftlichen Fakultät der Universität Hannover with number dp-260.

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Length: 20 pages
Date of creation: Aug 2002
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Handle: RePEc:han:dpaper:dp-260

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Related research
Keywords: Evolutionary Games; Evolutionary Equilibrium; Spiteful Behavior; Relative Payoff;

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Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May. [Downloadable!] (restricted)
  2. Miller, John H. & Andreoni, James, 1991. "Can evolutionary dynamics explain free riding in experiments?," Economics Letters, Elsevier, vol. 36(1), pages 9-15, May. [Downloadable!] (restricted)
  3. Theodore C. Bergstrom, 2002. "Evolution of Social Behavior: Individual and Group Selection," Journal of Economic Perspectives, American Economic Association, vol. 16(2), pages 67-88, Spring. [Downloadable!] (restricted)
  4. repec:cup:cbooks:9780521477185 is not listed on IDEAS
  5. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
  6. Holt, Charles A, 1985. "An Experimental Test of the Consistent-Conjectures Hypothesis," American Economic Review, American Economic Association, vol. 75(3), pages 314-25, June. [Downloadable!] (restricted)
  7. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215.
  8. Jan Potters & Casper G. de Vries & Frans van Winden, 1998. "An Experimental Examination of Rational Rent-Seeking," Tinbergen Institute Discussion Papers 98-068/1, Tinbergen Institute.
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  9. Perez-Castrillo, J David & Verdier, Thierry, 1992. " A General Analysis of Rent-Seeking Games," Public Choice, Springer, vol. 73(3), pages 335-50, April.
  10. Shogren, Jason F & Baik, Kyung H, 1991. " Reexamining Efficient Rent-Seeking in Laboratory Markets," Public Choice, Springer, vol. 69(1), pages 69-79, February.
  11. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May. [Downloadable!] (restricted)
  12. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January. [Downloadable!] (restricted)
  13. Daniel Friedman, 1998. "On economic applications of evolutionary game theory," Journal of Evolutionary Economics, Springer, vol. 8(1), pages 15-43. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Thomas Riechmann, 2005. "Dynamic Behavior in Minimum Effort Coordination Games - Some Theory of Group Size and Inter-Group Competition as Coordination Devices," Game Theory and Information 0503010, EconWPA. [Downloadable!]
  2. Thomas Riechmann & Joachim Weimann, 2004. "Competition as a Coordination Device. Experimental Evidence from a Minimum Effort Coordination Game," Game Theory and Information 0405011, EconWPA. [Downloadable!]
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