The stability of three-strategy cyclic dominance dynamics in finite populations

Xinmeng Liu (), Qingqing Niu (), Haiyan Tian () and Gang Zhang
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Xinmeng Liu: School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, P. R. China
Qingqing Niu: School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, P. R. China
Haiyan Tian: School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, P. R. China
Gang Zhang: School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, P. R. China

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 12, 1-10

Abstract: In finite populations, the stability of three-strategy cyclic dominance dynamics is investigated. A model for three-strategy cyclic dominance games is proposed. The stability of dynamical system corresponding to the model is compared with that of replicator dynamics, it verifies that the results of finite populations are quite different from that of replicator dynamics.

Keywords: Cyclic dominance games; finite populations; Moran process; replicator dynamics (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183123501607

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