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A social network is often divided into many factions. People are friends within each faction, while they are enemies of the other factions, and even my enemy's enemy is not necessarily my friend. This configuration can be described in terms…

Physics and Society · Physics 2025-09-18 Minwoo Bae , Takashi Shimada , Seung Ki Baek

Indirect reciprocity explains the evolution of cooperation by considering how our cooperative behavior toward someone is reciprocated by someone else who has observed us. A cohesive society has a shared norm that prescribes how to assess…

Physics and Society · Physics 2025-03-03 Quang Anh Le , Seung Ki Baek

Indirect reciprocity is a mechanism that explains large-scale cooperation in human societies. In indirect reciprocity, an individual chooses whether or not to cooperate with another based on reputation information, and others evaluate the…

Populations and Evolution · Quantitative Biology 2023-10-20 Yuma Fujimoto , Hisashi Ohtsuki

Recent studies on indirect reciprocity with private assessment on complete graphs suggest the possibility that one can continuously modulate the degree of segregation by controlling how to judge a good person helping a bad one. A well-known…

Physics and Society · Physics 2025-09-30 Quang Anh Le , Minwoo Bae , Takashi Shimada , Seung Ki Baek

Indirect reciprocity unveils how social cooperation is founded upon moral systems. Within the frame of dyadic games based on individual reputations, the "leading-eight" strategies distinguish themselves in promoting and sustaining…

Physics and Society · Physics 2024-10-22 Ming Wei , Xin Wang , Longzhao Liu , Hongwei Zheng , Yishen Jiang , Yajing Hao , Zhiming Zheng , Feng Fu , Shaoting Tang

Cooperation in groups underpins collective responses to challenges from climate governance to public goods provision, yet how moral evaluation sustains it remains poorly understood. Indirect reciprocity -- cooperating to build a good…

Physics and Society · Physics 2026-04-29 Ming Wei , Xin Wang , Junyu Lu , Longzhao Liu , Yishen Jiang , Hongwei Zheng , Shaoting Tang , Feng Fu

Cooperation is a crucial aspect of social life, yet understanding the nature of cooperation and how it can be promoted is an ongoing challenge. One mechanism for cooperation is indirect reciprocity. According to this mechanism, individuals…

Populations and Evolution · Quantitative Biology 2023-08-30 Yohsuke Murase , Christian Hilbe

Social network extensions of Heider's balance theory have not always been consistent. Structural balance theory primarily focuses on graph partitioning, thereby assuming, homogeneity in balance-driven behavior of nodes. We present a general…

Physics and Society · Physics 2024-10-15 David Dekker , David Krackhardt , Patrick Doreian , Pavel N. Krivitsky

A vast body of experiments share the view that social norms are major factors for the emergence of fairness in a population of individuals playing the dictator game (DG). Recently, to explore which social norms are conducive to sustaining…

Computer Science and Game Theory · Computer Science 2022-10-25 Qing Li , Songtao Li , Yanling Zhang , Xiaojie Chen , Shuo Yang

Previous research has shown how indirect reciprocity can promote cooperation through evolutionary game theoretic models. Most work in this field assumes a separation of time-scales: individuals' reputations equilibrate at a fast time scale…

Populations and Evolution · Quantitative Biology 2024-12-23 Bryce Morsky , Joshua B. Plotkin , Erol Akçay

Indirect reciprocity is a key mechanism that promotes cooperation in social dilemmas by means of reputation. Although it has been a common practice to represent reputations by binary values, either `good' or `bad', such a dichotomy is a…

Populations and Evolution · Quantitative Biology 2022-01-17 Yohsuke Murase , Minjae Kim , Seung Ki Baek

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

Indirect reciprocity is a mechanism for cooperation in social dilemma situations, in which an individual is motivated to help another to acquire a good reputation and receive help from others afterwards. Ingroup favoritism is another aspect…

Physics and Society · Physics 2012-11-20 Mitsuhiro Nakamura , Naoki Masuda

We consider the dynamics of interpersonal relations which leads to balanced states in a fully connected network. Here this approach is applied to directed networks with asymmetric relations, and it is generalized to include self-evaluation…

Physics and Society · Physics 2019-04-01 Malgorzata J. Krawczyk , Maciej Woloszyn , Piotr Gronek , Krzysztof Kulakowski , Janusz Mucha

Reputation is one of key mechanisms to maintain human cooperation, but its analysis gets complicated if we consider the possibility that reputation does not reach consensus because of erroneous assessment. The difficulty is alleviated if we…

Physics and Society · Physics 2022-07-13 Sanghun Lee , Yohsuke Murase , Seung Ki Baek

Indirect reciprocity is a key mechanism for large-scale cooperation. This mechanism captures the insight that in part, people help others to build and maintain a good reputation. To enable such cooperation, appropriate social norms are…

Populations and Evolution · Quantitative Biology 2025-09-12 Nikoleta E. Glynatsi , Christian Hilbe , Yohsuke Murase

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

Indirect reciprocity is a major mechanism in the maintenance of cooperation among unrelated individuals. Indirect reciprocity leads to conditional cooperation according to social norms that discriminate the good (those who deserve to be…

Populations and Evolution · Quantitative Biology 2017-02-07 Tatsuya Sasaki , Isamu Okada , Yutaka Nakai

The Heider balance (HB) is investigated in a fully connected graph of $N$ nodes. The links are described by a real symmetric array r(i,j), i,j=1,...,N. In a social group, nodes represent group members and links represent relations between…

Physics and Society · Physics 2009-11-11 Krzysztof Kulakowski , Przemyslaw Gawronski , Piotr Gronek

Indirect reciprocity in which players cooperate with unacquainted other players having good reputations is a mechanism for cooperation in relatively large populations subjected to social dilemma situations. When the population has group…

Physics and Society · Physics 2012-07-30 Naoki Masuda
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