Fending Off One Means Fending Off All: Evolutionary Stability in Submodular Games
21 Pages Posted: 6 Oct 2004
Date Written: August 2004
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.
JEL Classification: C79, D72
Suggested Citation: Suggested Citation