1. Satisfied-defect, unsatisfied-cooperate: An evolutionary dynamics of cooperation led by aspiration
- Author
-
Peter Wittek and Ik Soo Lim
- Subjects
Physics - Physics and Society ,Statistical Mechanics (cond-mat.stat-mech) ,Computer science ,Mechanism (biology) ,media_common.quotation_subject ,Evolutionary game theory ,Populations and Evolution (q-bio.PE) ,FOS: Physical sciences ,Social dilemma ,Physics and Society (physics.soc-ph) ,01 natural sciences ,010305 fluids & plasmas ,Dilemma ,Stochastic dynamics ,FOS: Biological sciences ,0103 physical sciences ,Quantitative Biology - Populations and Evolution ,010306 general physics ,Evolutionary dynamics ,Imitation ,Mathematical economics ,Condensed Matter - Statistical Mechanics ,media_common - Abstract
Evolutionary game theory has been widely used to study the evolution of cooperation in social dilemmas where imitation-led strategy updates are typically assumed. However, results of recent behavioral experiments are not compatible with the predictions based on the imitation dynamics, casting doubts on the assumption of the imitation-led updates and calling for alternative mechanisms of strategy updates. An aspiration-led update is often considered as an alternative to the imitation-led one. While details of update rules can have significant impacts on the evolutionary outcomes and many variations in imitation-led updates are thus studied, however, few variations exist in aspiration-led updates. We introduce an aspiration-led update mechanism ("Satisfied-Defect, Unsatisfied-Cooperate") that is psychologically intuitive and can yield a behavior richer than the conventional aspiration-led update does in Prisoner's Dilemma games. Using analytical and numerical methods, we study and link the stochastic dynamics of it in well-mixed finite populations and the deterministic dynamics of infinite populations., Comment: 13 pages, 10 figures, and 3 tables
- Published
- 2018
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