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Fending off one means fending off all:evolutionary stability in submodular 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.

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  • Wolfgang Leininger, 2004. "Fending off one means fending off all:evolutionary stability in submodular games," Discussion Papers in Economics 04_03, University of Dortmund, Department of Economics.
    • Handle: RePEc:mik:wpaper:04_03
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