Evolutionary game dynamics of combining two different aspiration-driven update rules in structured populations

doi:10.1088/1674-1056/ad20d8

Abstract In evolutionary games, most studies on finite populations have focused on a single updating mechanism. However, given the differences in individual cognition, individuals may change their strategies according to different updating mechanisms. For this reason, we consider two different aspiration-driven updating mechanisms in structured populations: satisfied-stay unsatisfied shift (SSUS) and satisfied-cooperate unsatisfied defect (SCUD). To simulate the game player's learning process, this paper improves the particle swarm optimization algorithm, which will be used to simulate the game player's strategy selection, i.e., population particle swarm optimization (PPSO) algorithms. We find that in the prisoner's dilemma, the conditions that SSUS facilitates the evolution of cooperation do not enable cooperation to emerge. In contrast, SCUD conditions that promote the evolution of cooperation enable cooperation to emerge. In addition, the invasion of SCUD individuals helps promote cooperation among SSUS individuals. Simulated by the PPSO algorithm, the theoretical approximation results are found to be consistent with the trend of change in the simulation results.

Keywords: evolutionary game dynamics aspiration-driven update structured populations

Received: 08 November 2023
Revised: 05 January 2024
Accepted manuscript online: 22 January 2024

PACS:	02.30.Oz	(Bifurcation theory)
	05.10.-a	(Computational methods in statistical physics and nonlinear dynamics)
	89.75.Fb	(Structures and organization in complex systems)
	91.62.Mn	(Ecosystems, structure and dynamics, plant ecology)

Fund: Project supported by the Doctoral Foundation Project of Guizhou University (Grant No. (2019)49), the National Natural Science Foundation of China (Grant No. 71961003), and the Science and Technology Program of Guizhou Province (Grant No. 7223).

Corresponding Authors: Yan-Long Yang,E-mail:yylong1980@163.com
E-mail: yylong1980@163.com

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Zhi-Hao Yang(杨智昊) and Yan-Long Yang(杨彦龙)† Evolutionary game dynamics of combining two different aspiration-driven update rules in structured populations 2024 Chin. Phys. B 33 050203

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