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How cooperation emerges in human societies is both an evolutionary enigma, and a practical problem with tangible implications for societal health. Population structure has long been recognized as a catalyst for cooperation because local…

Populations and Evolution · Quantitative Biology 2022-01-06 Qi Su , Joshua. B Plotkin

Understanding how cooperation emerges and persists is a central challenge in the evolutionary dynamics of social and biological systems. Most prior studies have examined cooperation through pairwise interactions, yet real-world interactions…

Physics and Society · Physics 2025-12-01 Chunpeng Du , Fei Fang , Alfonso de Miguel-Arribas , Yikang Lu , Yanan Wang , Xin Pan , Yamir Moreno

Humans judge each other's actions, which at least partly functions to detect and deter cheating and to enable helpfulness in an indirect reciprocity fashion. However, most forms of judging do not only concern the action itself, but also the…

Physics and Society · Physics 2026-04-21 Marcus Krellner , The Anh Han

This work studies the impact of economic inequality on the evolution of intolerance through a reputation-based model of indirect reciprocity. Results show that economic inequality is a powerful enhancer of intolerance, inducing the…

Physics and Society · Physics 2024-01-17 Luis A. Martinez-Vaquero

Reputation and punishment are significant guidelines for regulating individual behavior in human society, and those with a good reputation are more likely to be imitated by others. In addition, society imposes varying degrees of punishment…

Social and Information Networks · Computer Science 2025-11-25 Gui Zhang , Yichao Yao , Ziyan Zeng , Minyu Feng , Manuel Chica

Direct reciprocity is a powerful mechanism for evolution of cooperation based on repeated interactions between the same individuals. But high levels of cooperation evolve only if the benefit-to-cost ratio exceeds a certain threshold that…

Populations and Evolution · Quantitative Biology 2023-05-31 Josef Tkadlec , Christian Hilbe , Martin A. Nowak

Reputation plays a crucial role in social interactions by affecting the fitness of individuals during an evolutionary process. Previous works have extensively studied the result of imitation dynamics without focusing on potential irrational…

Physics and Society · Physics 2024-04-24 Kehuan Feng , Songlin Han , Minyu Feng , Attila Szolnoki

Heider's balance theory emphasizes cognitive consistency in assessing others, as is expressed by ``The enemy of my enemy is my friend.'' At the same time, the theory of indirect reciprocity provides us with a dynamical framework to study…

Physics and Society · Physics 2025-10-07 Minwoo Bae , Takashi Shimada , Seung Ki Baek

Direct reciprocity is a mechanism for the evolution of cooperation based on repeated interactions. When individuals meet repeatedly, they can use conditional strategies to enforce cooperative outcomes that would not be feasible in one-shot…

Populations and Evolution · Quantitative Biology 2016-05-24 Seung Ki Baek , Hyeong-Chai Jeong , Christian Hilbe , Martin A. Nowak

In our recent model, the cooperation emerges as a positive feedback between a not-too-bad reputation and an altruistic attitude. Here we introduce a bias of altruism as to favorize members of the same group. The matrix F(i,j) of frequency…

Physics and Society · Physics 2009-03-24 P. Gawronski , M. J. Krawczyk , K. Kulakowski

Imitation is an important learning heuristic in animal and human societies. Previous explorations report that the fate of individuals with cooperative strategies is sensitive to the protocol of imitation, leading to a conundrum about how…

Physics and Society · Physics 2023-11-22 Xiaochen Wang , Lei Zhou , Alex McAvoy , Aming Li

People often engage in costly cooperation, especially in repeated interactions. When deciding whether to cooperate, individuals typically take into account how others have acted in the past. For instance, when one person is deciding whether…

Populations and Evolution · Quantitative Biology 2024-11-07 Saptarshi Pal , Christian Hilbe , Nikoleta E Glynatsi

Stern-judging is one of the best-known assessment rules in indirect reciprocity. Indirect reciprocity is a fundamental mechanism for the evolution of cooperation. It relies on mutual monitoring and assessments, i.e., individuals judge,…

Physics and Society · Physics 2013-09-05 Satoshi Uchida , Tatsuya Sasaki

Many mechanisms behind the evolution of cooperation, such as reciprocity, indirect reciprocity, and altruistic punishment, require group knowledge of individual actions. But what keeps people cooperating when no one is looking? Conformist…

Populations and Evolution · Quantitative Biology 2023-09-22 Victor Vikram Odouard , Diana Smirnova , Shimon Edelman

Many online marketplaces enjoy great success. Buyers and sellers in successful markets carry out cooperative transactions even if they do not know each other in advance and a moral hazard exists. An indispensable component that enables…

Computer Science and Game Theory · Computer Science 2012-09-11 Naoki Masuda , Mitsuhiro Nakamura

Keeping a high reputation, by contributing to common efforts, plays a key role in explaining the evolution of collective cooperation among unrelated agents in a complex society. Nevertheless, it is not necessarily an individual feature, but…

Physics and Society · Physics 2025-11-18 Siyu He , Qin Li , Minyu Feng , Attila Szolnoki

Reputation serves as a powerful mechanism for promoting cooperation in multi-agent systems, as agents are more inclined to cooperate with those of good social standing. While existing multi-agent reinforcement learning methods typically…

Multiagent Systems · Computer Science 2025-02-05 Tianyu Ren , Xuan Yao , Yang Li , Xiao-Jun Zeng

Cooperation is vital for the survival of living systems but is challenging due to the costs borne by altruistic individuals. Direct reciprocity, where actions are based on past encounters, is a key mechanism fostering cooperation. However,…

Physics and Society · Physics 2025-06-06 Ketian Sun , Qi Su , Long Wang

People tend to have their social interactions with members of their own community. Such group-structured interactions can have a profound impact on the behaviors that evolve. Group structure affects the way people cooperate, and how they…

Populations and Evolution · Quantitative Biology 2022-11-09 Yohsuke Murase , Christian Hilbe , Seung Ki Baek

Indirect punishment traditionally sustains cooperation in social systems through reputation or norms, often by reducing defectors' payoffs indirectly. In this study, we redefine indirect punishment for structured populations as a spatially…

Physics and Society · Physics 2025-06-04 Yujia Wen , Zhixue He , Chen Shen , Jun Tanimoto