Environment-dependent payoffs in finite populations
Populations and Evolution
2013-12-16 v1 Physics and Society
Abstract
In constant-payoff finite population games, when selection is weak and population size is large, the one-third law serves as the condition for a strategy to be advantageous. We generalize the result to the case where payoff matrices are environment-dependent and provide a more general law. In this way we model feedback from the environment and show its impact on the dynamics.
Cite
@article{arxiv.1312.3861,
title = {Environment-dependent payoffs in finite populations},
author = {Weihong Xu and Yanling Zhang and Guangming Xie},
journal= {arXiv preprint arXiv:1312.3861},
year = {2013}
}