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arXiv · 1405.5993

Spatial effect on stochastic dynamics of bistable evolutionary games

Kohaku H. Z. So·Hisashi Ohtsuki·Takeo Kato
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Abstract

We consider the lifetimes of metastable states in bistable evolutionary games (coordination games), and examine how they are affected by spatial structure. A semiclassical approximation based on a path integral method is applied to stochastic evolutionary game dynamics with and without spatial structure, and the lifetimes of the metastable states are evaluated. It is shown that the population dependence of the lifetimes is qualitatively different in these two models. Our result indicates that spatial structure can accelerate the transitions between metastable states.

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Kohaku H. Z. So, Hisashi Ohtsuki, Takeo Kato. 2014-05-23. Spatial effect on stochastic dynamics of bistable evolutionary games. https://doi.org/10.1088/1742-5468/2014/10/p10020

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