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MATHEMATICS OF KIN‐ AND GROUP‐SELECTION: FORMALLY EQUIVALENT?
Author(s) -
Traulsen Arne
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.1558-5646.2009.00899.x
Subject(s) - inclusive fitness , kin selection , selection (genetic algorithm) , social evolution , group selection , evolutionary game theory , biology , game theory , group (periodic table) , evolutionarily stable strategy , fitness landscape , evolutionary dynamics , evolutionary biology , mathematical economics , artificial intelligence , computer science , mathematics , population , sociology , demography , chemistry , organic chemistry
Evolutionary game theory is a general mathematical framework that describes the evolution of social traits. This framework forms the basis of many multilevel selection models and is also frequently used to model evolutionary dynamics on networks. Kin selection, which was initially restricted to describe social interactions between relatives, has also led to a broader mathematical approach, inclusive fitness, that can not only describe social evolution among relatives, but also in group structured populations or on social networks. It turns out that the underlying mathematics of game theory is fundamentally different from the approach of inclusive fitness. Thus, both approaches—evolutionary game theory and inclusive fitness—can be helpful to understand the evolution of social traits in group structured or spatially extended populations.