The effect of ecological compensation on a coevolutionary common pool resource game

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED Applied Mathematics and Computation Pub Date : 2024-11-22 DOI:10.1016/j.amc.2024.129208

Liyan Gao, Qiuhui Pan, Mingfeng He

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Abstract

Ecological compensation plays an important role in the governance of renewable resource. When the resource stock is not higher than the compensation threshold, the defector of excessive effort pays compensation cost to restore resources. This paper establishes a coupled social ecosystem based on the ecological compensation mechanism by using evolutionary game theory. It is found that ecological compensation mechanism can promote cooperation, realize the sustainable utilization of resources, narrow the fitness gap between agents and facilitate higher payoff for the population. There exists an optimal compensation intensity that makes the system in an ideal state with the highest cooperation level, sustainable resources and maximum population fitness. Compensation intensity exceeding the optimal value has no additional influence on the system. The impact of compensation threshold on the system is jump like and there are two critical values of compensation threshold. As long as the compensation threshold exceeds the larger critical value, the system can reach the ideal state. These findings provide theoretical basis for the relevant institutions to better formulate ecological compensation policies.

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生态补偿对共同进化共用资源博弈的影响

生态补偿在可再生资源治理中发挥着重要作用。当资源存量不高于补偿阈值时，过度努力的叛逃者需要支付补偿成本来恢复资源。本文利用进化博弈论建立了基于生态补偿机制的耦合社会生态系统。研究发现，生态补偿机制可以促进合作，实现资源的可持续利用，缩小行为主体之间的适应度差距，促进种群获得更高的报酬。存在一个最佳补偿强度，它能使系统处于合作水平最高、资源可持续利用和种群适合度最大的理想状态。超过最佳值的补偿强度不会对系统产生额外影响。补偿阈值对系统的影响是跳跃式的，补偿阈值有两个临界值。只要补偿阈值超过较大的临界值，系统就能达到理想状态。这些发现为相关机构更好地制定生态补偿政策提供了理论依据。

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.