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We study the evolution of two mutually interacting games with both pairwise games as well as the public goods game on different topologies. On 2d square lattices, we reveal that the game-game interaction can promote the cooperation…

Physics and Society · Physics 2022-05-06 Rizhou Liang , Qinqin Wang , Jiqiang Zhang , Guozhong Zheng , Lin Ma , Li Chen

In human society, the conflict between self-interest and collective well-being often obstructs efforts to achieve shared welfare. Related concepts like the Tragedy of the Commons and Social Dilemmas frequently manifest in our daily lives.…

Multiagent Systems · Computer Science 2025-06-17 Yue Jin , Shuangqing Wei , Giovanni Montana

Many biological and social systems show significant levels of collective action. Several cooperation mechanisms have been proposed, yet they have been mostly studied independently. Among these, direct reciprocity supports cooperation on the…

Populations and Evolution · Quantitative Biology 2021-04-15 Luis A. Martinez-Vaquero , Francisco C. Santos , Vito Trianni

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

Reinforcement learning is well suited for optimizing policies of recommender systems. Current solutions mostly focus on model-free approaches, which require frequent interactions with the real environment, and thus are expensive in model…

Machine Learning · Computer Science 2020-01-22 Xueying Bai , Jian Guan , Hongning Wang

We investigate symmetric equilibria of mutual reinforcement learning when both players alternately learn the optimal memory-two strategies against the opponent in the repeated prisoners' dilemma game. We provide a necessary condition for…

Physics and Society · Physics 2023-01-03 Masahiko Ueda

Within the framework of Multi-Agent Reinforcement Learning, Social Learning is a new class of algorithms that enables agents to reshape the reward function of other agents with the goal of promoting cooperation and achieving higher global…

Machine Learning · Computer Science 2021-06-11 Paul Chelarescu

It is increasingly important that LLM agents interact effectively and safely with other goal-pursuing agents, yet, recent works report the opposite trend: LLMs with stronger reasoning capabilities behave _less_ cooperatively in mixed-motive…

Computer Science and Game Theory · Computer Science 2026-04-17 Emanuel Tewolde , Xiao Zhang , David Guzman Piedrahita , Vincent Conitzer , Zhijing Jin

Direct reciprocity, stemming from repeated interactions among players, is one of the fundamental mechanisms for understanding the evolution of cooperation. However, canonical strategies for the repeated prisoner's dilemma, such as…

Physics and Society · Physics 2024-09-10 Xiaochen Wang , Aming Li

Exploiting others is beneficial individually but it could also be detrimental globally. The reverse is also true: a higher cooperation level may change the environment in a way that is beneficial for all competitors. To explore the possible…

Physics and Society · Physics 2018-02-23 Attila Szolnoki , Xiaojie Chen

Spatial evolutionary games provide a valuable framework for elucidating the emergence and maintenance of cooperative behavior. However, most previous studies assume that individuals are profiteers and neglect to consider the effects of…

Computer Science and Game Theory · Computer Science 2025-11-25 Bin Pi , Minyu Feng , Liang-Jian Deng

In this work, we develop a reinforcement learning protocol for a multiagent coordination task in a discrete state and action space: an iterated prisoner's dilemma game extended into a team based, winner-take all tournament, which forces the…

Computer Science and Game Theory · Computer Science 2018-06-18 Aaron Goodman

We propose a new framework for imitation learning -- treating imitation as a two-player ranking-based game between a policy and a reward. In this game, the reward agent learns to satisfy pairwise performance rankings between behaviors,…

Machine Learning · Computer Science 2023-01-18 Harshit Sikchi , Akanksha Saran , Wonjoon Goo , Scott Niekum

Popular methods in cooperative Multi-Agent Reinforcement Learning with partially observable environments typically allow agents to act independently during execution, which may limit the coordinated effect of the trained policies. However,…

Multiagent Systems · Computer Science 2025-07-22 Faizan Contractor , Li Li , Ranwa Al Mallah

Learning from experience is a key feature of decision-making in cognitively complex organisms. Strategic interactions involving Bayesian inferential strategies can enable us to better understand how evolving individual choices to be…

Biological Physics · Physics 2025-12-01 Arunava Patra , Supratim Sengupta , Sagar Chakraborty

According to the evolutionary game theory principle, a strategy representing a higher payoff can spread among competitors. But there are cases when a player consistently overestimates or underestimates her own payoff, which undermines…

Physics and Society · Physics 2018-09-06 Attila Szolnoki , Xiaojie Chen

Oscillatory behaviors are ubiquitous in nature and the human society. However, most previous works fail to reproduce them in the two-strategy game-theoretical models. Here we show that oscillatory behaviors naturally emerge if incomplete…

Populations and Evolution · Quantitative Biology 2023-06-27 Jing Zhang , Zhao Li , Jiqiang Zhang , Lin Ma , Guozhong Zheng , Li Chen

It is well-known that acting in an individually rational manner, according to the principles of classical game theory, may lead to sub-optimal solutions in a class of problems named social dilemmas. In contrast, humans generally do not have…

Computer Science and Game Theory · Computer Science 2014-01-16 Steven de Jong , Simon Uyttendaele , Karl Tuyls

This paper extends the notion of learning equilibrium in game theory from matrix games to stochastic games. We introduce Foolproof Cooperative Learning (FCL), an algorithm that converges to a Tit-for-Tat behavior. It allows cooperative…

Computer Science and Game Theory · Computer Science 2020-10-16 Alexis Jacq , Julien Perolat , Matthieu Geist , Olivier Pietquin

Social hierarchy is important that can not be ignored in human socioeconomic activities and in the animal world. Here we incorporate this factor into the evolutionary game to see what impact it could have on the cooperation outcome. The…

Physics and Society · Physics 2021-02-02 Rizhou Liang , Jiqiang Zhang , Guozhong Zheng , Li Chen