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- W1579124180 abstract "Multi-player games provide a general framework for studying social interactions in groups of individuals. This framework allows researchers to systematically address pervasive questions in the social and biological sciences, such as whether communities produce and maintain cooperation, or else succumb to the tragedy of the commons. As the number of players participating in a game increases, so too does the space of possible strategies the players may adopt and the corresponding space of possible outcomes for the game. This explosion of complexity is especially acute in iterated multi-player games, in which players may choose to update how they play in response to the outcomes of previous interactions. The vast array of possible strategies in iterated multi-player games makes it difficult to assess the prospects for cooperation or defection in general. Here we take a step towards resolving this difficulty, by constructing a theoretical framework that enables us to identify the memory-1 strategies that resist replacement by any other such strategy, for an arbitrary repeated $n$-player game, in a replicating population of $Ngeq n$ players. We analyze the evolutionary robustness of strategies in such a population, under both strong selection and under weak selection. Under strong selection the notion of evolutionary robustness is equivalent to that of a Nash equilibrium -- and so our results include a complete characterization of cooperative memory-1 Nash equilibria for $n$-player games." @default.
- W1579124180 created "2016-06-24" @default.
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- W1579124180 date "2014-07-03" @default.
- W1579124180 modified "2023-09-27" @default.
- W1579124180 title "The evolution of robust strategies in iterated multi-player games" @default.
- W1579124180 hasPublicationYear "2014" @default.
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