Deterministic equations for stochastic spatial evolutionary games

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Spatial evolutionary games model individuals playing a game with their neighbors in a spatial domain and describe the time evolution of the strategy profile of individuals over space. We derive integro-differential equations as deterministic approximations of strategy revision stochastic processes. These equations generalize the existing ordinary differential equations such as replicator dynamics and provide powerful tools for investigating the problem of equilibrium selection. Deterministic equations allow the identification of many interesting features of the evolution of a population's strategy profiles, including traveling front solutions and pattern formation.
Publisher
ECONOMETRIC SOCIETY
Issue Date
2013-09
Language
English
Article Type
Article
Keywords

GLAUBER EVOLUTION; TRAVELING-WAVES; KAC POTENTIALS; EQUILIBRIUM SELECTION; STATISTICAL-MECHANICS; MODEL; IMITATION; STABILITY; DYNAMICS; PATTERNS

Citation

THEORETICAL ECONOMICS, v.8, no.3, pp.829 - 874

ISSN
1933-6837
DOI
10.3982/TE829
URI
http://hdl.handle.net/10203/219695
Appears in Collection
MT-Journal Papers(저널논문)
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