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The application of incentives, such as reward and punishment, is a frequently applied way for promoting cooperation among interacting individuals in structured populations. However, how to properly use the incentives is still a challenging…

Computer Science and Game Theory · Computer Science 2024-04-24 Shengxian Wang , Xiaojie Chen , Zhilong Xiao , Attila Szolnoki , Vítor V. Vasconcelos

In this paper, the total payoff of each agent is regulated to reduce the heterogeneity of the distribution of the total payoffs. It is found there is an optimal regulation strength where the fraction of cooperation is prominently promoted,…

Physics and Society · Physics 2015-05-13 Luo-Luo Jiang , Ming Zhao , Han-Xin Yang , Joseph Wakeling , Bing-Hong Wang , Tao Zhou

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

Humans have developed considerable machinery used at scale to create policies and to distribute incentives, yet we are forever seeking ways in which to improve upon these, our institutions. Especially when funding is limited, it is…

Multiagent Systems · Computer Science 2023-01-18 Theodor Cimpeanu , Francisco C Santos , The Anh Han

Institutions can provide incentives to increase cooperation behaviour in a population where this behaviour is infrequent. This process is costly, and it is thus important to optimize the overall spending. This problem can be mathematically…

Optimization and Control · Mathematics 2021-11-17 Manh Hong Duong , The Anh Han

Prosocial incentive can promote cooperation, but providing incentive is costly. Institutions in human society may prefer to use an incentive strategy which is able to promote cooperation at a reasonable cost. However, thus far few works…

Physics and Society · Physics 2019-09-04 Shengxian Wang , Xiaojie Chen , Attila Szolnoki

In this paper, we rigorously study the problem of cost optimisation of hybrid (mixed) institutional incentives, which are a plan of actions involving the use of reward and punishment by an external decision-maker, for maximising the level…

Populations and Evolution · Quantitative Biology 2023-10-09 M. H. Duong , C. M. Durbac , T. A. Han

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

Finding appropriate incentives to enforce collaborative efforts for governing the commons in risky situations is a long-lasting challenge. Previous works have demonstrated that both punishing free-riders and rewarding cooperators could be…

Physics and Society · Physics 2021-08-19 Weiwei Sun , Linjie Liu , Xiaojie Chen , Attila Szolnoki , Vítor V. Vasconcelos

Properly coordinating cooperation is relevant for resolving public good problems such as clean energy and environmental protection. However, little is known about how individuals can coordinate themselves for a certain level of cooperation…

Physics and Society · Physics 2016-04-26 Tatsuya Sasaki , Satoshi Uchida

Combined prosocial incentives, integrating reward for cooperators and punishment for defectors, are effective tools to promote cooperation among competing agents in population games. Existing research concentrated on how to adjust reward or…

Optimization and Control · Mathematics 2023-12-06 Shengxian Wang , Ming Cao , Xiaojie Chen

A principal uses payments conditioned on stochastic outcomes of a team project to elicit costly effort from the team members. We develop a multi-agent generalization of a classic first-order approach to contract optimization by leveraging…

Theoretical Economics · Economics 2026-03-13 Krishna Dasaratha , Benjamin Golub , Anant Shah

Previous research has highlighted the importance of strong heterogeneity for the successful evolution of cooperation in games governed by pairwise interactions. Here we determine to what extent this is true for games governed by group…

Physics and Society · Physics 2011-12-21 Matjaz Perc

There is a broad recognition that commitment-based mechanisms can promote coordination and cooperative behaviours in both biological populations and self-organised multi-agent systems by making individuals' intentions explicit prior to…

Computer Science and Game Theory · Computer Science 2025-09-15 Ndidi Bianca Ogbo , Zhao Song , The Anh Han

One of the most direct human mechanisms of promoting cooperation is rewarding it. We study the effect of sharing a reward among cooperators in the most stringent form of social dilemma, namely the Prisoner's Dilemma. Specifically, for a…

Populations and Evolution · Quantitative Biology 2012-02-02 J. A. Cuesta , R. Jimenez , H. Lugo , A. Sanchez

This work uses Game Theory to study the effectiveness of punishments as an incentive for rational nodes to follow an epidemic dissemination protocol. The dissemination process is modeled as an infinite repetition of a stage game. At the end…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-09-02 Xavier Vilaça , Luís Rodrigues

An active participation of players in evolutionary games depends on several factors, ranging from personal stakes to the properties of the interaction network. Diverse activity patterns thus have to be taken into account when studying the…

Physics and Society · Physics 2017-01-25 Alberto Aleta , Sandro Meloni , Matjaz Perc , Yamir Moreno

Reputation and punishment are significant guidelines for regulating individual behavior in human society, and those with a good reputation are more likely to be imitated by others. In addition, society imposes varying degrees of punishment…

Social and Information Networks · Computer Science 2025-11-25 Gui Zhang , Yichao Yao , Ziyan Zeng , Minyu Feng , Manuel Chica

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

Strong reciprocity is a fundamental human characteristic associated with our extraordinary sociality and cooperation. Laboratory experiments on social dilemma games and many field studies have quantified well-defined levels of cooperation…

Physics and Society · Physics 2007-11-21 D. Darcet , D. Sornette
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