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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

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

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

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

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

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

In the framework of evolutionary games with institutional reciprocity, limited incentives are at disposal for rewarding cooperators and punishing defectors. In the simplest case, it can be assumed that, depending on their strategies, all…

Populations and Evolution · Quantitative Biology 2014-09-05 Xiaojie Chen , Matjaz Perc

Prosocial behaviours have been extensively studied across multiple disciplines. Cooperation, requiring a personal cost for collective benefits, is widespread in nature and human society, having been explained through mechanisms such as kin…

Populations and Evolution · Quantitative Biology 2025-07-08 M. H. Duong , C. M. Durbac , T. A. Han

Research on promoting cooperation among autonomous, self-regarding agents has often focused on the bi-objective optimisation problem: minimising the total incentive cost while maximising the frequency of cooperation. However, the optimal…

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

In this work, we provide a general mathematical formalism to study the optimal control of an epidemic, such as the COVID-19 pandemic, via incentives to lockdown and testing. In particular, we model the interplay between the government and…

Populations and Evolution · Quantitative Biology 2022-04-14 Emma Hubert , Thibaut Mastrolia , Dylan Possamaï , Xavier Warin

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

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

Many real-world systems such as taxi systems, traffic networks and smart grids involve self-interested actors that perform individual tasks in a shared environment. However, in such systems, the self-interested behaviour of agents produces…

Multiagent Systems · Computer Science 2019-01-31 David Mguni , Joel Jennings , Sergio Valcarcel Macua , Emilio Sison , Sofia Ceppi , Enrique Munoz de Cote

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

Multi-agent social dilemmas, such as the tragedy of the commons, capture settings where individual incentives conflict with collective well-being, making these systems highly vulnerable to collapse under disruptions. In this context, this…

Multiagent Systems · Computer Science 2026-05-21 Manuela Chacon-Chamorro , Luis Felipe Giraldo , Nicanor Quijano

Both conventional wisdom and empirical evidence suggests that arranging a prior commitment or agreement before an interaction enhances the chance of reaching mutual cooperation. Yet it is not clear what mechanisms can promote the…

Dynamical Systems · Mathematics 2022-02-28 The Anh Han

This paper investigates large-population stochastic control problems in which agents share their state information and cooperate to minimize a convex cost functional. The latter is decomposed into individual and coupling costs, with the…

Optimization and Control · Mathematics 2025-10-28 Elise Devey

In this work we investigate the inefficiency of the electricity system with strategic agents. Specifically, we prove that without a proper control the total demand of an inefficient system is at most twice the total demand of the optimal…

Computer Science and Game Theory · Computer Science 2015-09-10 Carlos Barreto , Eduardo Mojica-Nava , Nicanor Quijano

We study a dynamical model of a population of cooperators and defectors whose actions have long-term consequences on environmental "commons" - what we term the "resource". Cooperators contribute to restoring the resource whereas defectors…

Systems and Control · Computer Science 2025-05-06 Keith Paarporn , Ceyhun Eksin , Joshua S. Weitz , Yorai Wardi
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