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Cooperation as a self-organized collective behavior plays a significant role in the evolution of ecosystems and human society. Reinforcement learning (RL) offers a new perspective, distinct from imitation learning in evolutionary games, for…

Physics and Society · Physics 2024-10-16 Bo-Ying Li , Zhen-Na Zhang , Guo-Zhong Zheng , Chao-Ran Cai , Ji-Qiang Zhang , Chen Li

Reinforcement learning (RL) is a powerful machine learning technique that has been successfully applied to a wide variety of problems. However, it can be unpredictable and produce suboptimal results in complicated learning environments.…

Multiagent Systems · Computer Science 2024-11-19 Brian Mintz , Feng Fu

Cooperation, fairness, trust, and resource coordination are cornerstones of modern civilization, yet their emergence remains inadequately explained by the persistent discrepancies between theoretical predictions and behavioral experiments.…

Populations and Evolution · Quantitative Biology 2026-05-21 Guozhong Zheng , Xin Ou , Shengfeng Deng , Jiqiang Zhang , Li Chen

Understanding and resolving cooperation dilemmas are key challenges in evolutionary game theory, which have revealed several mechanisms to address them. This paper investigates the comprehensive influence of multiple reputation-related…

Physics and Society · Physics 2025-04-10 Kai Xie , Attila Szolnoki

Large-scale cooperation underpins the evolution of ecosystems and the human society, and the collective behaviors by self-organization of multi-agent systems are the key for understanding. As artificial intelligence (AI) prevails in almost…

Physics and Society · Physics 2019-08-09 Si-Ping Zhang , Ji-Qiang Zhang , Li Chen , Xu-Dong Liu

Multi-agent reinforcement learning serves as an effective tool for studying strategy adaptation in evolutionary games. Although prior work has integrated Q-learning with reputation mechanisms to promote cooperation, most existing algorithms…

Computational Physics · Physics 2026-04-10 An Li , Wenqiang Zhu , Chaoqian Wang , Longzhao Liu , Hongwei Zheng , Yishen Jiang , Xin Wang , Shaoting Tang

The inherent complexity of human beings manifests in a remarkable diversity of responses to intricate environments, enabling us to approach problems from varied perspectives. However, in the study of cooperation, existing research within…

Populations and Evolution · Quantitative Biology 2026-02-04 Guozhong Zheng , Zhenwei Ding , Jiqiang Zhang , Shengfeng Deng , Weiran Cai , Li Chen

Altruistic cooperation is costly yet socially desirable. As a result, agents struggle to learn cooperative policies through independent reinforcement learning (RL). Indirect reciprocity, where agents consider their interaction partner's…

Multiagent Systems · Computer Science 2024-08-09 Martin Smit , Fernando P. Santos

Cooperative behavior is prevalent in both human society and nature. Understanding the emergence and maintenance of cooperation among self-interested individuals remains a significant challenge in evolutionary biology and social sciences.…

Artificial Intelligence · Computer Science 2024-06-26 Lanyu Yang , Dongchun Jiang , Fuqiang Guo , Mingjian Fu

Punishment is a common tactic to sustain cooperation and has been extensively studied for a long time. While most of previous game-theoretic work adopt the imitation learning where players imitate the strategies who are better off, the…

Populations and Evolution · Quantitative Biology 2024-12-20 Chenyang Zhao , Guozhong Zheng , Chun Zhang , Jiqiang Zhang , Li Chen

Interactions among individuals in natural populations often occur in a dynamically changing environment. Understanding the role of environmental variation in population dynamics has long been a central topic in theoretical ecology and…

Populations and Evolution · Quantitative Biology 2021-05-18 Feng Huang , Ming Cao , Long Wang

Addressing the question of how to achieve optimal decision-making under risk and uncertainty is crucial for enhancing the capabilities of artificial agents that collaborate with or support humans. In this work, we address this question in…

Multiagent Systems · Computer Science 2024-08-02 Nicole Orzan , Erman Acar , Davide Grossi , Patrick Mannion , Roxana Rădulescu

Q-learning provides a standard reinforcement learning framework for studying cooperation by specifying how agents update action values from repeated local interactions outcomes. Although previous work has shown that reputation can promote…

Physics and Society · Physics 2026-02-03 Chunpeng Du , Zongyang Li , Yali Zhang , Yikang Lu , Attila Szolnoki

In a community-structured population, public goods games (PGG) occur both within and between communities. Such type of PGG is referred as multilevel public goods games (MPGG). We propose a minimalist evolutionary model of the MPGG and…

Populations and Evolution · Quantitative Biology 2015-05-27 Jing Wang , Bin Wu , Daniel W. C. Ho , Long Wang

The significance of network structures in promoting group cooperation within social dilemmas has been widely recognized. Prior studies attribute this facilitation to the assortment of strategies driven by spatial interactions. Although…

Multiagent Systems · Computer Science 2024-08-20 Tianyu Ren , Xiao-Jun Zeng

Behavioral experiments on the trust game have shown that trust and trustworthiness are universal among human beings, contradicting the prediction by assuming \emph{Homo economicus} in orthodox Economics. This means some mechanism must be at…

Populations and Evolution · Quantitative Biology 2024-12-20 Guozhong Zheng , Jiqiang Zhang , Jing Zhang , Weiran Cai , Li Chen

The conflict between individual and collective interests is in the heart of every social dilemmas established by evolutionary game theory. We cannot avoid these conflicts but sometimes we may choose which interaction framework to use as a…

Physics and Society · Physics 2021-06-09 Attila Szolnoki , Xiaojie Chen

This paper investigates the evolution of strategic play where players drawn from a finite well-mixed population are offered the opportunity to play in a public goods game. All players accept the offer. However, due to the possibility of…

Populations and Evolution · Quantitative Biology 2017-09-14 Alexander G. Ginsberg , Feng Fu

Cooperation is the foundation of ecosystems and the human society, and the reinforcement learning provides crucial insight into the mechanism for its emergence. However, most previous work has mostly focused on the self-organization at the…

Physics and Society · Physics 2024-05-17 Zhen-Wei Ding , Guo-Zhong Zheng , Chao-Ran Cai , Wei-Ran Cai , Li Chen , Ji-Qiang Zhang , Xu-Ming Wang

The emergence and maintenance of cooperation within sizable groups of unrelated humans offer many challenges for our understanding. We propose that the humans' capacity of communication, such as how many and how far away the fellows can…

Physics and Society · Physics 2009-09-29 Zi-Gang Huang , Sheng-Jun Wang , Xin-Jian Xu , Ying-Hai Wang
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