Deterministic equations for stochastic spatial evolutionary games

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 gener...

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Veröffentlicht in:	Theoretical economics 2013-09, Vol.8 (3), p.829-874
Hauptverfasser:	Hwang, Sung-Ha, Katsoulakis, Markos, Rey-Bellet, Luc
Format:	Artikel
Sprache:	eng
Schlagworte:	C70 C72 C73 deterministic approximation Economic theory equilibrium selection Evolutionary games Games Kac potentials long‐range interactions mean-field interactions Ordinary differential equations pattern formation Spatial evolutionary games Stochastic models Stochastic processes Studies traveling front solutions traveling wave solutions
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