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This paper characterizes how different incentive instruments shape cooperation in a repeated Prisoner`s Dilemma with a continuum of players. A simple tit-for-tat strategy competes against unconditional defection, and the long-run outcome is…

Theoretical Economics · Economics 2025-11-14 Alexander Kangas

It is a challenging task to reach global cooperation among self-interested agents, which often requires sophisticated design or usage of incentives. For example, we may apply supervisors or referees who are able to detect and punish…

Physics and Society · Physics 2024-12-20 Ting Ling , Zhang Li , Minyu Feng , Attila Szolnoki

We have studied an evolutionary game with spatially arranged players who can choose one of the two strategies (named cooperation and defection for social dilemmas) when playing with their neighbors. In addition to the application of the…

Physics and Society · Physics 2013-01-03 Gyorgy Szabo , Attila Szolnoki , Lilla Czako

Besides the structure of interactions within networks, also the interactions between networks are of the outmost importance. We therefore study the outcome of the public goods game on two interdependent networks that are connected by means…

Physics and Society · Physics 2013-08-13 Zhen Wang , Attila Szolnoki , Matjaz Perc

Mixed extension has played an important role in game theory, especially in the proof of the existence of Nash equilibria in strategic form games. Mixed extension can be regarded as continuous relaxation of a strategic form game. Recently,…

Physics and Society · Physics 2025-05-05 Masahiko Ueda , Ayaka Fujita

Individuals are often faced with temptations that can lead them astray from long-term goals. We're interested in developing interventions that steer individuals toward making good initial decisions and then maintaining those decisions over…

Machine Learning · Computer Science 2022-03-15 Shruthi Sukumar , Adrian F. Ward , Camden Elliott-Williams , Shabnam Hakimi , Michael C. Mozer

Cost of time passing plays an important role when investigate the collective behaviour in real world. Each rational individual can get a more reasonable strategy by comprehensively considering the time cost. Motivated by the fact, we here…

Physics and Society · Physics 2020-09-28 Hancheng Wang

In industrial scenarios involving multi-agent collective decision-making, centralized decision-making may not be admissible due to restrictive access to individual local information, while the conflicts between participants' self-interest…

Optimization and Control · Mathematics 2026-05-25 Dongwei Xie , Xuhao Wang , Yujie Tang , Jie Song

Repeated games are useful models to analyze long term interactions of living species and complex social phenomena. Zero-determinant (ZD) strategies in repeated games discovered by Press and Dyson in 2012 enforce a linear payoff relationship…

Populations and Evolution · Quantitative Biology 2021-06-29 Azumi Mamiya , Daiki Miyagawa , Genki Ichinose

We consider the coupled dynamics of the adaption of network structure and the evolution of strategies played by individuals occupying the network vertices. We propose a computational model in which each agent plays a $n$-round Prisoner's…

Physics and Society · Physics 2007-11-05 Feng Fu , Xiaojie Chen , Lianghuan Liu , Long Wang

Automated design of multi-agent interactions with desirable equilibrium outcomes is inherently difficult due to the computational hardness, non-uniqueness, and instability of the resulting equilibria. In this work, we propose the use of…

Computer Science and Game Theory · Computer Science 2026-03-13 Vinzenz Thoma , Georgios Piliouras , Luke Marris

The real world is awash with multi-agent problems that require collective action by self-interested agents, from the routing of packets across a computer network to the management of irrigation systems. Such systems have local incentives…

Multiagent Systems · Computer Science 2021-02-16 Michiel A. Bakker , Richard Everett , Laura Weidinger , Iason Gabriel , William S. Isaac , Joel Z. Leibo , Edward Hughes

Congestion games are popular models often used to study the system-level inefficiencies caused by selfish agents, typically measured by the price of anarchy. One may expect that aligning the agents' preferences with the system-level…

Computer Science and Game Theory · Computer Science 2024-09-04 Bryce L Ferguson , Dario Paccagnan , Bary S R Pradelski , Jason R Marden

We study a decision-maker's problem of finding optimal monetary incentive schemes for retention when faced with agents whose participation decisions (stochastically) depend on the incentive they receive. Our focus is on policies constrained…

Computer Science and Game Theory · Computer Science 2024-07-31 Daniel Freund , Chamsi Hssaine

This paper seeks to establish a framework for directing a society of simple, specialized, self-interested agents to solve what traditionally are posed as monolithic single-agent sequential decision problems. What makes it challenging to use…

Machine Learning · Computer Science 2020-08-17 Michael Chang , Sidhant Kaushik , S. Matthew Weinberg , Thomas L. Griffiths , Sergey Levine

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

Mixed incentives among a population with multiagent teams has been shown to have advantages over a fully cooperative system; however, discovering the best mixture of incentives or team structure is a difficult and dynamic problem. We…

Artificial Intelligence · Computer Science 2023-04-18 David Radke , Kyle Tilbury

We show that, in large population games, decentralized information aggregation generically corrects for individual-level biases. This establishes a new testable aggregate efficiency benchmark where the behavior of boundedly rational agents…

Theoretical Economics · Economics 2026-02-17 Florian Mudekereza

An oligopoly is a market in which the price of goods is controlled by a few firms. Cournot introduced the simplest game-theoretic model of oligopoly, where profit-maximizing behavior of each firm results in market failure. Furthermore, when…

Physics and Society · Physics 2025-12-09 Masahiko Ueda , Shoma Yagi , Genki Ichinose

Incentive mechanism design is crucial for enabling federated learning. We deal with clustering problem of agents contributing to federated learning setting. Assuming agents behave selfishly, we model their interaction as a stable coalition…

Computer Science and Game Theory · Computer Science 2021-05-10 Cengis Hasan