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Human cooperation depends on indirect reciprocity. In this work, we explore the concept of indirect reciprocity using a donation game in an infinitely large population. In particular, we examine how updating the reputations of recipients…

Physics and Society · Physics 2024-05-10 Alina Glaubitz , Feng Fu

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

Although various norms for reciprocity-based cooperation have been suggested that are evolutionarily stable against invasion from free riders, the process of alternation of norms and the role of diversified norms remain unclear in the…

Physics and Society · Physics 2017-03-14 Hitoshi Yamamoto , Isamu Okada , Satoshi Uchida , Tatsuya Sasaki

Indirect reciprocity is a foundational mechanism of human cooperation. Existing models of indirect reciprocity fail to robustly support social cooperation: image scoring models fail to provide robust incentives, while social standing models…

Populations and Evolution · Quantitative Biology 2019-10-10 Daniel Clark , Drew Fudenberg , Alexander Wolitzky

Cooperation in human society is sustained by reputation. In general, the reputation of an individual is determined by others who observe his behavior, but this rarely happens in private situations. This may cause people to behave…

Physics and Society · Physics 2023-12-11 Daiki Miyagawa , Koki Miyabara , Genki Ichinose

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

Cooperation can be supported by indirect reciprocity via reputation.Thanks to gossip, reputations are built and circulated and humans can identify defectors and ostracise them. However, the evolutionary stability of gossip is allegedly…

Physics and Society · Physics 2016-12-01 Francesca Giardini , Daniele Vilone

Direct reciprocity is a mechanism for the evolution of cooperation in repeated social interactions. According to this literature, individuals naturally learn to adopt conditionally cooperative strategies if they have multiple encounters…

Physics and Society · Physics 2023-11-07 Nikoleta E. Glynatsi , Alex McAvoy , Christian Hilbe

Social reputations facilitate cooperation: those who help others gain a good reputation, making them more likely to receive help themselves. But when people hold private views of one another, this cycle of indirect reciprocity breaks down,…

Physics and Society · Physics 2023-12-19 Mari Kawakatsu , Taylor A. Kessinger , Joshua B. Plotkin

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

The cooperation mechanism of indirect reciprocity has been studied by making multiple variations of its parts. This research proposes a new variant of Nowak and Sigmund model, focused on agents' attitude; it is called Individualistic…

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

The emergence of structure in cooperative relation is studied in a game theoretical model. It is proved that specific types of reciprocity norm lead individuals to split into two groups. The condition for the evolutionary stability of the…

Physics and Society · Physics 2021-09-01 Koji Oishi , Takashi Shimada , Nobuyasu Ito

Indirect reciprocity promotes cooperation by allowing individuals to help others based on reputation rather than direct reciprocation. Because it relies on accurate reputation information, its effectiveness can be undermined by information…

Physics and Society · Physics 2026-05-04 Heejeong Kim , Yohsuke Murase

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

Indirect reciprocity is one of the major mechanisms for the evolution of cooperation in human societies. There are two types of indirect reciprocity: upstream and downstream. Cooperation in downstream reciprocity follows the pattern, 'You…

Populations and Evolution · Quantitative Biology 2024-04-22 Tatsuya Sasaki , Satoshi Uchida , Isamu Okada , Hitoshi Yamamoto

Cooperation is fundamental to human societies, and indirect reciprocity, where individuals cooperate to build a positive reputation for future benefits, plays a key role in promoting it. Previous theoretical and experimental studies have…

Physics and Society · Physics 2025-01-20 Yohsuke Murase

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

We have developed a continuous model of indirect reciprocity and thereby investigated effects of mutation in assessment rules. Within this continuous framework, the difference between the resident and mutant norms is treated as a small…

Physics and Society · Physics 2024-07-19 Youngsuk Mun , Seung ki Baek

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