Impact of individual sensitivity to payoff difference between individuals on a discrete-time imitation dynamics. (January 2023)

• Record Type: Journal Article
• Authors: Wang, Si-Yi; Feng, Tian-Jiao; Tao, Yi; Wu, Jia-Jia
• Is Part Of: Chaos, solitons and fractals. Volume 166(2023)
• Publication Date: 2023-01
• Subjects: Imitation dynamics -- Individual sensitivity -- Fermi function -- Evolutionary stability; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2022.112913
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: The impact of individual sensitivity to the difference between expected payoffs of individuals interacting in pairs on a discrete-time imitation dynamics was investigated, where the probability of mutual imitation between pairs of individuals is measured by the Fermi function. The main results show clearly that although the evolutionary stability of our model is independent of the individual sensitivity, the change of this sensitivity may profoundly affect the dynamical behavior of the system, for example, the periodic or chaotic fluctuations due to increased individual sensitivity. These results may be more helpful for us to understand the imitation dynamics in real systems. Highlights: Individual sensitivity in imitation dynamics can affect stability but not evolutionary stability. Periodic or chaotic fluctuations appear with increased individual sensitivity.