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The basic social dilemma is frequently captured by a public goods game where participants decide simultaneously whether to support a common pool or not and after the enhanced contributions are distributed uniformly among all competitors.…

Physics and Society · Physics 2021-12-21 Attila Szolnoki , Xiaojie Chen

The Optional Public Goods Game is a three-strategy game in which an individual can play as a cooperator or defector or decide not to participate. Despite its simplicity, this model can effectively represent many human social dilemmas, such…

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

When can cooperation arise from self-interested decisions in public goods games? And how can we help agents to act cooperatively? We examine these classical questions in a pivotal participation game, a variant of public good games, where…

Computer Science and Game Theory · Computer Science 2021-08-27 Yiling Chen , Biaoshuai Tao , Fang-Yi Yu

A cooperative player invests effort into a common venture without knowing the partner's intention in advance. But this strategy can be implemented in various ways when a player is involved in different games simultaneously. Interestingly,…

Physics and Society · Physics 2021-07-14 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

Trust and reciprocation of it form the foundation of economic, social and other interactions. While the Trust Game is widely used to study these concepts for interactions between two players, often alternating different roles (i.e.,…

Physics and Society · Physics 2025-05-21 Ik Soo Lim , Naoki Masuda

The emergence and maintenance of cooperative behavior is a fascinating topic in evolutionary biology and social science. The public goods game (PGG) is a paradigm for exploring cooperative behavior. In PGG, the total resulting payoff is…

Populations and Evolution · Quantitative Biology 2019-07-15 Yan Li , Xinsheng Liu , Jens Christian Claussen , Wanlin Guo

Cooperation is of utmost importance to society as a whole, but is often challenged by individual self-interests. While game theory has studied this problem extensively, there is little work on interactions within and across groups with…

Physics and Society · Physics 2010-10-14 Dirk Helbing , Anders Johansson

Evolutionary game theory has provided substantial contributions to explain the emergence of cooperation under unfavourable conditions in ecology, economics, and the social sciences. Recently, inspired by newly available empirical evidence…

Physics and Society · Physics 2026-04-09 Jaume Llabrés , Onkar Sadekar , Federico Malizia , Federico Battiston

According to the fundamental principle of evolutionary game theory, the more successful strategy in a population should spread. Hence, during a strategy imitation process a player compares its payoff value to the payoff value held by a…

Physics and Society · Physics 2021-07-07 A. Szolnoki , M. Perc

Human cooperation persists among strangers in large, well-mixed populations despite theoretical predictions of difficulties, leaving a fundamental evolutionary puzzle. While upstream (pay-it-forward: helping others because you were helped)…

Populations and Evolution · Quantitative Biology 2026-01-14 Tatsuya Sasaki , Satoshi Uchida , Isamu Okada , Hitoshi Yamamoto , Yutaka Nakai

Behavioral experiments on the trust game have shown that trust and trustworthiness are universal among human beings, contradicting the prediction by assuming \emph{Homo economicus} in orthodox Economics. This means some mechanism must be at…

Populations and Evolution · Quantitative Biology 2024-12-20 Guozhong Zheng , Jiqiang Zhang , Jing Zhang , Weiran Cai , Li Chen

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

The psychology of the individual is continuously changing in nature, which has a significant influence on the evolutionary dynamics of populations. To study the influence of the continuously changing psychology of individuals on the…

Social and Information Networks · Computer Science 2025-02-11 Minyu Feng , Bin Pi , Liang-Jian Deng , Jürgen Kurths

Synergies between evolutionary game theory and statistical physics have significantly improved our understanding of public cooperation in structured populations. Multiplex networks, in particular, provide the theoretical framework within…

Physics and Society · Physics 2017-07-13 Federico Battiston , Matjaz Perc , Vito Latora

Reinforcement learning (RL) is a powerful machine learning technique that has been successfully applied to a wide variety of problems. However, it can be unpredictable and produce suboptimal results in complicated learning environments.…

Multiagent Systems · Computer Science 2024-11-19 Brian Mintz , Feng Fu

Extensive behavioral experiments reveal that conditional cooperation is a prevalent phenomenon. Previous game-theoretical studies have predominantly relied on hard-manner models, where cooperation is triggered only upon reaching a specific…

Populations and Evolution · Quantitative Biology 2026-02-04 Chenyang Zhao , Xinshi Feng , Guozhong Zheng , Weiran Cai , Jiqiang Zhang , Li Chen

This paper examines experimentally how reputational uncertainty and the rate of change of the social environment determine cooperation. Reputational uncertainty significantly decreases cooperation, while a fast-changing social environment…

General Economics · Economics 2022-03-09 Edoardo Gallo , Yohanes E. Riyanto , Nilanjan Roy , Tat-How Teh

We study the evolution of cooperation under the assumption that the collective benefits of group membership can only be harvested if the fraction of cooperators within the group, i.e. their critical mass, exceeds a threshold value.…

Physics and Society · Physics 2010-05-05 Attila Szolnoki , Matjaz Perc
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