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Fending off one Means Fending off all: Evolutionary Stability in Submodular Games (new title: Fending off one means fending off all: evolutionary stability in quasi-submodular aggregative games)

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  • 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.

Suggested Citation

  • Wolfgang Leininger, 2004. "Fending off one Means Fending off all: Evolutionary Stability in Submodular Games (new title: Fending off one means fending off all: evolutionary stability in quasi-submodular aggregative games)," CESifo Working Paper Series 1266, CESifo.
    • Handle: RePEc:ces:ceswps:_1266
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    References listed on IDEAS

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    1. Alex Possajennikov, 2003. "Evolutionary foundations of aggregate-taking behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(4), pages 921-928, June.
    2. 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.
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    6. Wolfgang Leininger, 2003. "On evolutionarily stable behavior in contests," Economics of Governance, Springer, vol. 4(3), pages 177-186, November.
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    10. Wolfgang Leininger, 2002. "Contests over Public Goods: Evolutionary Stability and the Free-Rider Problem," CESifo Working Paper Series 713, CESifo.
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    Cited by:

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    2. Franco Mariuzzo & Patrick Paul Walsh & Ciara Whelan, 2004. "EU Merger Control in Differentiated Product Industries," CESifo Working Paper Series 1312, CESifo.

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