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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

Repeated interaction between individuals is the main mechanism for maintaining cooperation in social dilemma situations. Variants of tit-for-tat (repeating the previous action of the opponent) and the win-stay lose-shift strategy are known…

Populations and Evolution · Quantitative Biology 2011-11-08 Shoma Tanabe , Naoki Masuda

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

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

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

The environment has a strong influence on a population's evolutionary dynamics. Driven by both intrinsic and external factors, the environment is subject to continual change in nature. To capture an ever-changing environment, we consider a…

Populations and Evolution · Quantitative Biology 2022-02-18 Qi Su , Alex McAvoy , Long Wang , Martin A. Nowak

Understanding the emergence and sustainability of cooperation is a fundamental problem in evolutionary biology and is frequently studied by the framework of evolutionary game theory. A very powerful mechanism to promote cooperation is…

Computer Science and Game Theory · Computer Science 2015-05-27 M. Brede

Human social life is shaped by repeated interactions, where past experiences guide future behavior. In evolutionary game theory, a key challenge is to identify strategies that harness such memory to succeed in repeated encounters. Decades…

Populations and Evolution · Quantitative Biology 2025-09-16 Ketian Sun , Qi Su , Long Wang

Rewards and penalties are common practical tools that can be used to promote cooperation in social institutions. The evolution of cooperation under reward and punishment incentives in joint enterprises has been formalized and investigated,…

Physics and Society · Physics 2013-08-20 Tatsuya Sasaki

This paper investigates the evolution of strategic play where players drawn from a finite well-mixed population are offered the opportunity to play in a public goods game. All players accept the offer. However, due to the possibility of…

Populations and Evolution · Quantitative Biology 2017-09-14 Alexander G. Ginsberg , Feng Fu

The theory of direct reciprocity explores how individuals cooperate when they interact repeatedly. In repeated interactions, individuals can condition their behaviour on what happened earlier. One prominent example of a conditional strategy…

Dynamical Systems · Mathematics 2024-11-21 Nataliya A. Balabanova , Manh Hong Duong , Christian Hilbe

Iterated games are a fundamental component of economic and evolutionary game theory. They describe situations where two players interact repeatedly and have the possibility to use conditional strategies that depend on the outcome of…

Populations and Evolution · Quantitative Biology 2015-06-12 Christian Hilbe , Martin A. Nowak , Karl Sigmund

The evolution and long-term sustenance of cooperation has consistently piqued scholarly interest across the disciplines of evolutionary biology and social sciences. Previous theoretical and experimental studies on collective risk social…

Physics and Society · Physics 2023-08-23 Shijia Hua , Zitong Hui , Linjie Liu

Cooperation underlies many natural and artificial systems. While voluntary participation can sustain cooperation without informational assumptions, real interactions are rarely anonymous, leaving the joint effects of participation and…

Physics and Society · Physics 2026-01-27 Chen Shen , Zhao Song , Xinyu Wang , Lei Shi , Matjaž Perc , Zhen Wang , Jun Tanimoto

Social exclusion has been regarded as one of the most effective measures to promote the evolution of cooperation. In real society, the way in which social exclusion works can be direct or indirect. However, thus far there is no related work…

Physics and Society · Physics 2022-08-30 Linjie Liu , Xiaojie Chen

Cooperative behaviors are deeply embedded in structured biological and social systems. Networks are often employed to portray pairwise interactions among individuals, where network nodes represent individuals and links indicate who…

Physics and Society · Physics 2025-01-14 Jiachao Guo , Yao Meng , Aming Li

Long-term evolutionary processes can strongly influence common-pool resource conservation by generating new traits or behaviours that modify the feedback between population strategies and the resource state. Here we develop an…

Populations and Evolution · Quantitative Biology 2026-01-27 Prosanta Mandal , Suman Chakraborty , Vaibhav Madhok , Sagar Chakraborty

We study the combined influence of selection and random fluctuations on the evolutionary dynamics of two-strategy ("cooperation" and "defection") games in populations comprising cooperation facilitators. The latter are individuals that…

Populations and Evolution · Quantitative Biology 2013-11-13 Mauro Mobilia

Cooperation is a difficult proposition in the face of Darwinian selection. Those that defect have an evolutionary advantage over cooperators who should therefore die out. However, spatial structure enables cooperators to survive through the…

Physics and Society · Physics 2018-02-02 Attila Szolnoki , Matjaz Perc

Recently, reputation-based indirect reciprocity has been widely applied to the study on fairness behavior. Previous works mainly investigate indirect reciprocity by considering compulsory participation. While in reality, individuals may…

Computer Science and Game Theory · Computer Science 2023-12-21 Yanling Zhang , Yin Li , Xiaojie Chen , Guangming Xie
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