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Stochastic evolutionary game dynamics (1990)
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by
Dean Foster
,
Peyton Young
| Venue: | Theoret. Population Biol |
| Citations: | 143 - 7 self |
BibTeX
@ARTICLE{Foster90stochasticevolutionary,
author = {Dean Foster and Peyton Young},
title = {Stochastic evolutionary game dynamics},
journal = {Theoret. Population Biol},
year = {1990}
}
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Abstract
The concept of an evolutionary stable strategy (ESS) is a useful tool for studying the dynamics of natural selection. One of its limitations, however, is that it does not capture the notion of long-run stability when the system is subjected to stochastic effects. We define the concept of stability in a stochastic dynamical system, and show that it differs from both the traditional ESS and the concept of an attractor in a dynamical system. The stochastically stable set may be computed analytically using recent advances in potential theory
