Unfair and Anomalous Evolutionary Dynamics from Fluctuating Payoffs

Physical Review Letters
Frank Stollmeier, Jan Nagler

Abstract

Evolution occurs in populations of reproducing individuals. Reproduction depends on the payoff a strategy receives. The payoff depends on the environment that may change over time, on intrinsic uncertainties, and on other sources of randomness. These temporal variations in the payoffs can affect which traits evolve. Understanding evolutionary game dynamics that are affected by varying payoffs remains difficult. Here we study the impact of arbitrary amplitudes and covariances of temporally varying payoffs on the dynamics. The evolutionary dynamics may be "unfair," meaning that, on average, two coexisting strategies may persistently receive different payoffs. This mechanism can induce an anomalous coexistence of cooperators and defectors in the prisoner's dilemma, and an unexpected selection reversal in the hawk-dove game.

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Citations

Apr 6, 2020·Bulletin of Mathematical Biology·Omri Tal, Tat Dat Tran
Jun 12, 2020·Proceedings. Mathematical, Physical, and Engineering Sciences·Marco A Amaral, Marco A Javarone
Aug 20, 2019·Journal of Computational Biology : a Journal of Computational Molecular Cell Biology·Yaron Ilan
Jul 25, 2019·Physical Review. E·Viktor StojkoskiLjupco Kocarev
Jul 22, 2020·Physical Review. E·Marco A Amaral, Marco A Javarone

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