文献类型：期刊文献

英文题名：The Evolution of Cooperation in Multiplayer Snowdrift Games with Environmental Feedback

作者：Sun, Tao[1]; Liang, Haili[1]; Yu, Xiaotong[1]; Zhou, Zhao[2]; Xu, Yang[1]

机构：[1] Shanghai University, Shanghai Key Laboratory of Power Station Automation Technology, School of Mechatronic Engineering and Automation, Shanghai, 200444, China; [2] East China University of Science and Technology, Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, Shanghai, 200237, China

年份：2024

起止页码：8131

外文期刊名：Chinese Control Conference, CCC

收录：EI(收录号：20244117155722)

语种：英文

外文关键词：Abiotic - Jacobian matrices

摘要：Human societies and natural environments form a complex ecological system, in which human activities can change the ecological environment, the changes in the ecological environment can influence human social activities in reverse. This paper introduces a punitive mechanism as environmental feedback into co-evolutionary systems, and proposes a replicator dynamic model which aims to explain the evolutionary strategies adopted by populations for the multiplayer snowdrift games. We obtain the necessary and sufficient condition for the existence and stability of the internal equilibrium point by studying on the Jacobian matrix, and the effectiveness of the theoretical results is examined by numerical simulations. We identify that the threshold parameter in multiplayer snowdrift games determines the evolution of the closed-loop system. Specifically, the system exhibits limit cycles when the threshold is small enough. As the threshold increases, the system converges to a stable internal equilibrium point. Finally, if the threshold reaches a sufficiently large value, the proportion of cooperators in the population is high, while the group of punishers becomes extinct, indicating the loss of environmental feedback. ? 2024 Technical Committee on Control Theory, Chinese Association of Automation.