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Related papers: Indirect reciprocity with stochastic rules

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Many real systems are strongly characterized by collective cooperative phenomena whose existence and properties still need a satisfactory explanation. Coherently with their collective nature, they call for new and more accurate descriptions…

Physics and Society · Physics 2020-07-30 Giulio Burgio , Joan T. Matamalas , Sergio Gómez , Alex Arenas

Evolution of cooperation in the prisoner's dilemma and the public goods game is studied, where initially players belong to two independent structured populations. Simultaneously with the strategy evolution, players whose current utility…

Populations and Evolution · Quantitative Biology 2014-04-04 Zhen Wang , Attila Szolnoki , Matjaz Perc

Both conventional wisdom and empirical evidence suggests that arranging a prior commitment or agreement before an interaction enhances the chance of reaching mutual cooperation. Yet it is not clear what mechanisms can promote the…

Dynamical Systems · Mathematics 2022-02-28 The Anh Han

Collective cooperation drives the dynamics of many natural, social, and economic phenomena, making understanding the evolution of cooperation with evolutionary game theory a central question of modern science. Although human interactions…

Physics and Society · Physics 2024-04-12 Yao Meng , Alex McAvoy , Aming Li

Reputation mechanisms offer an effective alternative to verification authorities for building trust in electronic markets with moral hazard. Future clients guide their business decisions by considering the feedback from past transactions;…

Artificial Intelligence · Computer Science 2011-11-02 B. Faltings , R. Jurca

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

Social norms are stable behavioral patterns that emerge endogenously within economic systems through repeated interactions among agents. In online market economies, such norms -- like fair exposure, sustained participation, and balanced…

Machine Learning · Computer Science 2026-03-06 Xiangning Yu , Qirui Mi , Xiao Xue , Haoxuan Li , Yiwei Shi , Xiaowei Liu , Mengyue Yang

We study dynamic delegation with reputation feedback: a long-lived expert advises a sequence of implementers whose effort responds to current reputation, altering outcome informativeness and belief updates. We solve for a recursive,…

Theoretical Economics · Economics 2025-09-01 Georgy Lukyanov , Anna Vlasova

Cooperation and competition coexist and coevolve in natural and social systems. Cooperation generates resources, which in turn, drive non-cooperative competition to secure individual shares. How this complex interplay between cooperation…

Physics and Society · Physics 2025-09-03 Wenqiang Zhu , Xin Wang , Chaoqian Wang , Weijie Xing , Longzhao Liu , Hongwei Zheng , Jingwu Zhao , Shaoting Tang

Since Nowak & May's (1992) influential paper, network reciprocity--the fact that individuals' interactions repeated within a local neighborhood support the evolution of cooperation--has been confirmed in several theoretical models.…

Adaptation and Self-Organizing Systems · Physics 2019-05-07 Fabio Dercole , Fabio Della Rossa , Carlo Piccardi

Identifying mechanisms able to sustain costly cooperation among self-interested agents is a central problem across social and biological sciences. One possible solution is peer punishment: when agents have an opportunity to sanction…

Physics and Society · Physics 2022-12-19 Mohammad Salahshour , Vincent Oberhauser , Matteo Smerlak

There is growing recognition that the network structures arising from interactions between different entities in physical, social and biological systems fundamentally alter the evolutionary outcomes. Previous paradigm exploring evolutionary…

Physics and Society · Physics 2023-08-08 Yao Meng , Sean P. Cornelius , Yang-Yu Liu , Aming Li

The environment undergoes perpetual changes that are influenced by a combination of endogenous and exogenous factors. Consequently, it exerts a substantial influence on an individual's physical and psychological state, directly or…

Physics and Society · Physics 2025-12-11 Yuji Zhang , Minyu Feng , Jürgen Kurths , Attila Szolnoki

Cooperation is widespread in human societies, but its maintenance at the group level remains puzzling if individuals benefit from not cooperating. Explanations of the maintenance of cooperation generally assume that cooperative and…

Social and Information Networks · Computer Science 2013-04-16 Todd J Bodnar , Marcel Salathé

Evolutionary game theory has been widely used to study the evolution of cooperation in social dilemmas where imitation-led strategy updates are typically assumed. However, results of recent behavioral experiments are not compatible with the…

Physics and Society · Physics 2018-12-19 Ik Soo Lim , Peter Wittek

People often interact repeatedly: with relatives, through file sharing, in politics, etc. Many such interactions are reciprocal: reacting to the actions of the other. In order to facilitate decisions regarding reciprocal interactions, we…

Computer Science and Game Theory · Computer Science 2016-03-01 Gleb Polevoy , Mathijs de Weerdt , Catholijn Jonker

Many mechanisms for the emergence and maintenance of altruistic behavior in social dilemma situations have been proposed. Indirect reciprocity is one such mechanism, where other-regarding actions of a player are eventually rewarded by other…

Physics and Society · Physics 2010-06-08 Akio Iwagami , Naoki Masuda

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

In this work, we ask for and answer what makes classical temporal-difference reinforcement learning with epsilon-greedy strategies cooperative. Cooperating in social dilemma situations is vital for animals, humans, and machines. While…

Machine Learning · Computer Science 2023-02-22 Wolfram Barfuss , Janusz Meylahn

Cooperative behaviour has been extensively studied as a choice between cooperation and defection. However, the possibility to not participate is also frequently available. This type of problem can be studied through the optional public…

Populations and Evolution · Quantitative Biology 2021-10-06 Shirsendu Podder , Simone Righi , Francesca Pancotto