海南师范大学学报（自然科学版）2026，Vol.39Issue(1)：13-19,7.DOI:10.12051/j.issn.1674-4942.2026.01.002
热力学极限理论视角下间接互惠量子雪堆博弈合作行为研究
Research on Cooperative Behavior in Indirect Reciprocal Quantum Snowdrift Game under Thermodynamic Limit Theory
摘要
Abstract
Regarding the problem of cooperative behavior in the quantum snowdrift game with an infinite number of participants,this study integrates the one-dimensional Ising model with the general two-player game model by the thermodynamic limit theory,sets up a quantum snowdrift game model under indirect reciprocity.The magnetization intensity is used to characterize the dynamic evolutionary features of cooperative behavior in the quantum snowdrift game model,the effects of entanglement degree and discrimination degree on magnetization intensity are analyzed,and numerical simulations are carried out.The results show that both entanglement degree and discrimination degree can effectively promote the emergence of cooperative behavior.When the entanglement degree and discrimination degree exceed certain thresholds,the magnetization intensity becomes positive,indicating that the majority of participants choose cooperative behavior.This conclusion offers a theoretical decision-making basis for addressing the"prisoner's dilemma"in large-scale group snowdrift games.关键词
量子雪堆博弈/合作行为/热力学极限/磁化强度/Ising模型/间接互惠Key words
quantum snowdrift game/cooperrative behavior/thermodynamic limit/magnetization/Ising model/indirect reciprocity分类
数理科学引用本文复制引用
郭冬冰,姚雨池,张新立..热力学极限理论视角下间接互惠量子雪堆博弈合作行为研究[J].海南师范大学学报（自然科学版）,2026,39(1):13-19,7.基金项目
教育部人文社会科学规划资助项目(21YJA630116) （21YJA630116）
辽宁省教育厅基本科研项目(LJKMZ20221412) （LJKMZ20221412）
