Eur. Phys. J. B (2022) 95: 29
https://doi.org/10.1140/epjb/s10051-022-00292-2

Regular Article - Statistical and Nonlinear Physics

The choice-decision based on memory and payoff favors cooperation in stag hunt game on interdependent networks

Institute of Complexity Science, Shandong Key Laboratory of Industrial Control Technology, College of Automation, Qingdao University, 266071, Qingdao, People’s Republic of China

^b zhangjihui@qdu.edu.cn

Received: 4 December 2021
Accepted: 26 January 2022
Published online: 12 February 2022

Abstract

Cooperation and defection behaviors are often profit-oriented in the real world, and when individuals make decisions, they tend to refer to past historical decision-making information. Therefore, while investigating individuals’ evolutionary game behaviors, it is necessary to consider the influence of individuals’ past payoffs and decision-making knowledge on current decision behaviors in an integrated manner. Besides, interdependent networks receive more attention as an emerging network structure to characterize the correlation between various complex systems. This paper combines our newly presented choice-decision mechanism based on memory and historical payoff and the stag hunt model to emulate individual evolutionary actions on interdependent lattice networks. The individual expected minimum payoff and connection probability between network layers can positively affect the cooperation rate. A memory length-related interval is discovered where all participants are cooperators, and participants associated with neighboring layers tend to be cooperators in the equilibrium phase, regardless of their initial state.