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Fending off one Means Fending off all: Evolutionary Stability in Submodular Games

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Author Info
Wolfgang Leininger ()
Abstract

The implications of evolutionarily stable behavior in finite populations have recently been explored for a variety of aggregative games. This note proves an intimate relationship between submodularity and global evolutionary stability of strategies for these games, which -apart from being of independent interest - accounts for a number of results obtained in the recent literature: we show that any evolutionarily stable strategy (ESS) of a submodular aggregative game must also be globally stable. I.e. if one mutant cannot successfully invade a population, any number of mutants can even less do so.

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Paper provided by CESifo GmbH in its series CESifo Working Paper Series with number CESifo Working Paper No. 1266.

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Date of creation: 2004
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Handle: RePEc:ces:ceswps:_1266

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C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Models of Political Processes: Rent-seeking, Elections, Legislatures, and Voting Behavior

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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. Alex Possajennikov, 2003. "Evolutionary foundations of aggregate-taking behavior," Economic Theory, Springer, vol. 21(4), pages 921-928, 06. [Downloadable!] (restricted)
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  2. Schenk-Hoppe, Klaus Reiner, 2000. "The evolution of Walrasian behavior in oligopolies," Journal of Mathematical Economics, Elsevier, vol. 33(1), pages 35-55, February. [Downloadable!] (restricted)
  3. Wolfgang Leininger, 2003. "On evolutionarily stable behavior in contests," Economics of Governance, Springer, vol. 4(3), pages 177-186, November. [Downloadable!] (restricted)
  4. Carlos Alós-Ferrer & Ana Ania, 2005. "The evolutionary stability of perfectly competitive behavior," Economic Theory, Springer, vol. 26(3), pages 497-516, October. [Downloadable!] (restricted)
  5. Hehenkamp, B. & Leininger, W. & Possajennikov, A., 2004. "Evolutionary equilibrium in Tullock contests: spite and overdissipation," European Journal of Political Economy, Elsevier, vol. 20(4), pages 1045-1057, November. [Downloadable!] (restricted)
    Other versions:
  6. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
    Other versions:
  7. Ellison, Glenn, 2000. "Basins of Attraction, Long-Run Stochastic Stability, and the Speed of Step-by-Step Evolution," Review of Economic Studies, Blackwell Publishing, vol. 67(1), pages 17-45, January.
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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. Birgitte Sloth & Hans Jørgen Whitta-Jacobsen, 2006. "Economic Darwinism," CIE Discussion Papers 2006-01, University of Copenhagen. Department of Economics. Centre for Industrial Economics. [Downloadable!]
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