Interaction between populations promotes cooperation in voluntary prisoner's dilemma

Juan Shi, Die Hu, Rui Tao, Yunchen Peng, Yong Li and Jinzhuo Liu

Applied Mathematics and Computation, 2021, vol. 392, issue C

Abstract: The coexistence of different populations has recently been confirmed to be a simple yet effective mechanism to understand the stability of cooperation. Based on this intuition, we use the voluntary prisoner's dilemma (VPD) game as the mathematical model to explore the spatiotemporal dynamics of cooperation among different populations. By using parameter α as a key quantity that takes into account the strength of connections between populations, we observe that a fascinating spiral pattern is spontaneously formed, adding a new population always brings additional prey to cooperators in other populations, leading to competing spatial dynamics and pattern formation. Moreover, the system gradually changes from the C + D + L state to the C + D state and finally to the full C state. The inherent cyclic dominance of the strategies results in the self-organization of populations on the square lattice and ultimately effectively promotes cooperation. Our work emphasizes that the complexity of the evolutionary dynamics of structural populations is significantly increased by the simultaneous existence of different populations.

Keywords: Cooperation; Voluntary prisoner's dilemma; Population (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:392:y:2021:i:c:s0096300320306810

DOI: 10.1016/j.amc.2020.125728

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