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177751

(1998) Game theory, experience, rationality, Dordrecht, Springer.

Uniform barriers and evolutionarily stable sets

Immanuel M. Bomze

pp. 225-243

A key concept in evolutionary game theory is that of evolutionary stability [21, 20]. Originally defined for pairwise contests, i.e. symmetric two-person games, a mixed strategy x is said to be evolutionarily stable if it is a best reply to itself, and, moreover, is a better reply to any alternative best reply y than this is to itself. It has been shown that evolutionary stability has important implications for population dynamics based on evolutionary selection. In particular, an evolutionarily stable strategy, viewed as a population state in a finite game in which individuals are "programmed" to pure strategies, is asymptotically stable in the corresponding replicator dynamics [26].

Publication details

DOI: 10.1007/978-94-017-1654-3_19

Full citation:

Bomze, I. M. (1998)., Uniform barriers and evolutionarily stable sets, in W. Leinfellner & E. Köhler (eds.), Game theory, experience, rationality, Dordrecht, Springer, pp. 225-243.

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