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EVOLUTIONARY GAMES IN WRIGHT'S ISLAND MODEL: KIN SELECTION MEETS EVOLUTIONARY GAME THEORY
Author(s) -
Ohtsuki Hisashi
Publication year - 2010
Publication title -
evolution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.84
H-Index - 199
eISSN - 1558-5646
pISSN - 0014-3820
DOI - 10.1111/j.1558-5646.2010.01117.x
Subject(s) - kin selection , wright , inclusive fitness , evolutionary game theory , biology , evolutionary dynamics , game theory , selection (genetic algorithm) , natural selection , evolutionarily stable strategy , competition (biology) , matrix model , evolutionary biology , mathematical economics , ecology , computer science , artificial intelligence , mathematics , sociology , demography , population , programming language , mathematical physics , string (physics)
This article studies evolutionary game dynamics in Wright's infinite island model. I study a general n × n matrix game and derive a basic equation that describes the change in frequency of strategies. A close observation of this equation reveals that three distinct effects are at work: direct benefit to a focal individual, kin‐selected indirect benefit to the focal individual via its relatives, and the cost caused by increased kin competition in the focal individual's natal deme. Crucial parameters are the coefficient of relatedness between two individuals and its analogue for three individuals. I provide a number of examples and show when the traditional inclusive fitness measure is recovered and when not. Results demonstrate how evolutionary game theory fits into the framework of kin selection.