#### Evolutionarily Stable Preferences Against Multiple Mutations in Multi-player Games

##### Yu-Sung Tu, Wei-Torng Juang

We use the indirect evolutionary approach to study evolutionarily stable preferences against multiple mutations in single- and multi-population settings, respectively. In both settings, n-player games are played. Each individual has subjective preferences over potential outcomes, which may differ from the actual fitness values given by a material payoff function. In the two population settings, respectively, we examine necessary and sufficient conditions for evolutionary stability against multiple mutations; we reveal the connection between the order of stability and the level of efficiency in $n$-player games.

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