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The dilemma in cooperation is one of the major concerns in game theory. In a public-goods game, each individual pays a cost for cooperation, or to prevent defection, and receives a reward from the collected cost in a group. Thus, defection…

Physics and Society · Physics 2016-09-21 Yuma Fujimoto , Takahiro Sagawa , Kunihiko Kaneko

In this paper, we study the problem of cost optimisation of individual-based institutional incentives (reward, punishment, and hybrid) for guaranteeing a certain minimal level of cooperative behaviour in a well-mixed, finite population. In…

Populations and Evolution · Quantitative Biology 2024-07-30 M. H. Duong , C. M. Durbac , T. A. Han

In this work, we aim to answer the question: what triggers cooperative behavior in the thermodynamic limit by taking recourse to the Public goods game. Using the idea of mapping the 1D Ising model Hamiltonian with nearest neighbor coupling…

Physics and Society · Physics 2019-06-04 Colin Benjamin , Shubhayan Sarkar

The introduction of artificial intelligence (AI) agents into human group settings raises essential questions about how these novel participants influence cooperative social norms. While previous studies on human-AI cooperation have…

Artificial Intelligence · Computer Science 2026-01-30 Nico Mutzner , Taha Yasseri , Heiko Rauhut

Cooperation is crucial for the remarkable evolutionary success of the human species. Not surprisingly, some individuals are willing to bare additional costs in order to punish defectors. Current models assume that, once set, the fine and…

Physics and Society · Physics 2012-04-18 Matjaz Perc , Attila Szolnoki

Tolerance implies enduring trying circumstances with a fair and objective attitude. To determine whether evolutionary advantages might be stemming from diverse levels of tolerance in a population, we study a spatial public goods game, where…

Physics and Society · Physics 2016-08-04 Attila Szolnoki , Matjaz Perc

Costly punishment has been suggested as a key mechanism for stabilizing cooperation in one-shot games. However, recent studies have revealed that the effectiveness of costly punishment can be diminished by second-order free riders (i.e.,…

Physics and Society · Physics 2024-03-19 Chen Shen , Zhixue He , Lei Shi , Zhen Wang , Jun Tanimoto

In previous studies of spatial public goods game, each player is able to establish a group. However, in real life, some players cannot successfully organize groups for various reasons. In this paper, we propose a mechanism of…

Physics and Society · Physics 2018-07-23 Han-Xin Yang , Zhen Wang

Over the past few decades, many works have studied the evolutionary dynamics of continuous games. However, previous works have primarily focused on two-player games with pairwise interactions. Indeed, group interactions rather than pairwise…

Physics and Society · Physics 2025-04-10 Jing Luo , Duozi Lin , Xiaojie Chen , Attila Szolnoki

Cooperation in one-shot anonymous interactions is a widely documented aspect of human behaviour. Here we shed light on the motivations behind this behaviour by experimentally exploring cooperation in a one-shot continuous-strategy…

Computer Science and Game Theory · Computer Science 2014-08-14 Valerio Capraro , Jillian J. Jordan , David G. Rand

A fundamental question of human society is the evolution of cooperation. Many previous studies explored this question via setting spatial background, where players obtain their payoffs by playing game with their nearest neighbors. Another…

Physics and Society · Physics 2015-05-20 Zhen Wang , Wen-Bo Du , Xian-Bin Cao , Lian-Zhong Zhang

We study the evolution of cooperation in the spatial prisoner's dilemma game where players are allowed to establish new interactions with others. By employing a simple coevolutionary rule entailing only two crucial parameters, we find that…

Physics and Society · Physics 2011-12-30 Chunyan Zhang , Jianlei Zhang , Guangming Xie , Long Wang , Matjaz Perc

In the traditional setup of public goods game all players are involved in every available groups and the mutual benefit is shared among competing cooperator and defector strategies. But in real life situations the group formation of players…

Physics and Society · Physics 2016-10-19 Attila Szolnoki , Xiaojie Chen

The conflict between individual and collective interests is in the heart of every social dilemmas established by evolutionary game theory. We cannot avoid these conflicts but sometimes we may choose which interaction framework to use as a…

Physics and Society · Physics 2021-06-09 Attila Szolnoki , Xiaojie Chen

In a large population, the agents temporally form group of the Public Goods Game (PGG) one after another, and size of one group is randomly distributed at $g\in [g_l,g_h]$. Players in it have two strategies to be chosen to cooperate, or to…

Physics and Society · Physics 2024-04-18 Hong-Bin Zhang , Deng-Ping Tang

Over the years, numerous experiments have been accumulated to show that cooperation is not casual and depends on the payoffs of the game. These findings suggest that humans have attitude to cooperation by nature and the same person may act…

Computer Science and Game Theory · Computer Science 2013-09-11 Valerio Capraro

From ant-acacia mutualism to performative conflict resolution among Inuit, dedicated punishments between distinct subsets of a population are widespread and can reshape the evolutionary trajectory of cooperation. Existing studies have…

Populations and Evolution · Quantitative Biology 2026-02-16 Sinan Feng , Genjiu Xu , Yu Chen , Chaoqian Wang , Attila Szolnoki

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

Punishment is an effective way to sustain cooperation among selfish individuals. In most of previous studies, objects of punishment are set to be defectors. In this paper, we propose a mechanism of punishment, in which individuals with the…

Physics and Society · Physics 2018-02-06 Han-Xin Yang , Xiaojie Chen

Objective: The study investigates the effect on cooperation in multiplayer games, when the population from which all individuals are drawn is structured - i.e. when a given individual is only competing with a small subset of the entire…

Computer Science and Game Theory · Computer Science 2016-02-08 Kaare B. Mikkelsen , Lars A. Bach
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