Deterministic equations for stochastic spatial evolutionary games

, (), Markos Katsoulakis () and , ()
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,: Department of Mathematics and Statistics, University of Massachusetts at Amherst
Markos Katsoulakis: Department of Mathematics and Statistics, University of Massachusetts at Amherst
,: Department of Mathematics and Statistics, University of Massachusetts at Amherst
Authors registered in the RePEc Author Service: Sung-Ha Hwang

Theoretical Economics, 2013, vol. 8, issue 3

Abstract: Spatial evolutionary games model individuals who are distributed in a spatial domain and update their strategies upon playing a normal form game with their neighbors. We derive integro-differential equations as deterministic approximations of the microscopic updating stochastic processes. This generalizes the known mean-field ordinary differential equations and provide a powerful tool to investigate the spatial effects in populations evolution. The deterministic equations allow to identify many interesting features of the evolution of strategy profiles in a population, such as standing and traveling waves, and pattern formation, especially in replicator-type evolutions.

Keywords: Evolutionary games; mean-field interactions; deterministic approximation; Kac potentials; pattern formation; traveling wave solutions (search for similar items in EconPapers)
JEL-codes: C70 C72 C73 (search for similar items in EconPapers)
Date: 2013-09-18
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Citations: View citations in EconPapers (3)

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Related works:
Working Paper: Deterministic Equations for Stochastic Spatial Evolutionary Games (2010)
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