Long-Term Behavior in Evolutionary Dynamics from Ergodicity Breaking View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2019-03-06

AUTHORS

Jan Nagler , Frank Stollmeier

ABSTRACT

Fluctuating environments determine life, ranging from the early stages of molecular evolution to the emergence and maintenance of cooperation in our society. Predicting the long-term evolution of species and strategies in uncertain environments is a long-standing challenge in evolutionary dynamics. For evolutionary games where the payoff a player receives is dependent on the fluctuating environmental state, we predict the dynamics in the long term, i.e., the game’s stationary states. For deterministically and stochastically varying payoff structures we find anomalous, sometimes counterintuitive, long-term behaviors which are markedly different from traditional games defined by constant payoffs. Intricately, the anomalous stationary states are sensitive to the covariance of the payoffs. In contrast to evolutionarily stable states of games with constant payoffs, where coexisting species necessarily receive equal payoffs, anomalous stable states can be unfair, meaning that, on average, two coexisting species may receive different payoffs. Moreover, environmental noise can induce transitions between different games. We introduce a classification for evolutionary games with payoff stochasticity, which contains the traditional games for vanishing payoff variance. Our framework, developed here analytically, robustly predicts the long-term evolution of species and strategies in fluctuating environments. More... »

PAGES

85-95

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-030-14459-3_7

DOI

http://dx.doi.org/10.1007/978-3-030-14459-3_7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112540296


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