强互惠条件下具有公共物品的重复量子博弈研究

IF 1.9 3区 数学 Q1 MATHEMATICS, APPLIED Axioms Pub Date : 2023-11-10 DOI:10.3390/axioms12111044
Simo Sun, Yadong Shu, Jinxiu Pi, Die Zhou
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引用次数: 0

摘要

我们利用量子纠缠和强互惠机制,开发了一个公共物品的重复量子博弈。利用量子博弈分析的框架,结合纠缠态和非纠缠态的比较研究表明,当竞争对手的预期合作策略超过一定阈值时,参与者将选择完全合作策略。在不考虑状态纠缠的情况下,仍然存在囚徒困境,合作方必须自己承担分解量子策略的成本;当考虑到国家之间的纠缠时,博弈双方的利益是密切相关的,形成了一个利益共同体。通过签订强互惠契约,可以利用强互惠纠缠契约机制来考虑博弈各方的合作程度。努力合作的一方不必承担另一方叛逃的风险,在一定程度上可以解决囚徒困境问题。最后,以公共品绿色种植产业项目为例,通过共同委托第三方确定并签订强互惠纠缠契约,双方可以保证完整的量子策略,实现合作最大化,实现帕累托最优,最终使公共品产业项目长期稳定发展。
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Research on Repeated Quantum Games with Public Goods under Strong Reciprocity
We developed a repeated quantum game of public goods by using quantum entanglement and strong reciprocity mechanisms. Utilizing the framework of quantum game analysis, a comparative investigation incorporating both entangled and non-entangled states reveals that the player will choose a fully cooperative strategy when the expected cooperation strategy of the competitor exceeds a certain threshold. When the entanglement of states is not considered, the prisoner’s dilemma still exists, and the cooperating party must bear the cost of defactoring the quantum strategy themselves; when considering the entanglement of states, the benefits of both parties in the game are closely related, forming a community of benefits. By signing a strong reciprocity contract, the degree of cooperation between the game parties can be considered using the strong reciprocity entanglement contract mechanism. The party striving to cooperate does not have to bear the risk of the other party’s defector, and to some extent, it can solve the prisoner’s dilemma problem. Finally, taking the public goods green planting industry project as an example, by jointly entrusting a third party to determine and sign a strong reciprocity entanglement contract, both parties can ensure a complete quantum strategy to maximize cooperation and achieve Pareto optimality, ultimately enabling the long-term and stable development of the public goods industry project.
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来源期刊
Axioms
Axioms Mathematics-Algebra and Number Theory
自引率
10.00%
发文量
604
审稿时长
11 weeks
期刊介绍: Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory) Axiomatization, axiomatic methods, theorems, mathematical proofs Algebraic structures, field theory, group theory, topology, vector spaces Mathematical analysis Mathematical physics Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc. Classical and fuzzy set theories Number theory Systems theory Classical measures, fuzzy measures, representation theory, and probability theory Graph theory Information theory Entropy Symmetry Differential equations and dynamical systems Relativity and quantum theories Mathematical chemistry Automata theory Mathematical problems of artificial intelligence Complex networks from a mathematical viewpoint Reasoning under uncertainty Interdisciplinary applications of mathematical theory.
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