2017/10/30 by Tung Mai, Ioannis Panageas, Mai, Tung +7
Biochemistry, Genetics and Molecular Biology · Medicine · Social Sciences · #Computer Science and Game Theory (cs.GT) #Dynamical Systems (math.DS) #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #FOS: Computer and information sciences #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE)
paper · pdf · doi:10.48550/arxiv.1710.11249
openalex publication_date 2017/10/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We model a situation in which a collection of species derive their fitnesses via a rock-paper-scissors-type game; however, the precise payoffs are a function of the environment. The new aspect of our model lies in adding a feedback loop: the environment changes according to the relative fitnesses of the species; in particular, it gives a boost to the species having small populations. We cast our model in the setting of a differential game and we show that for a certain setting of parameters, this dynamics cycles. Our model is a natural one, since depletion of resources used by more frequent species will shift the payoff matrix towards favoring less frequent ones. Since the dynamics cycles, no species goes extinct and diversity is maintained.