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Social distance games have been extensively studied as a coalition formation model where the utilities of agents in each coalition were captured using a utility function $u$ that took into account distances in a given social network. In…

Computer Science and Game Theory · Computer Science 2023-12-14 Robert Ganian , Thekla Hamm , Dušan Knop , Sanjukta Roy , Šimon Schierreich , Ondřej Suchý

Fractional hedonic games are coalition formation games where a player's utility is determined by the average value they assign to the members of their coalition. These games are a variation of graph hedonic games, which are a class of…

Computer Science and Game Theory · Computer Science 2023-10-10 Tesshu Hanaka , Airi Ikeyama , Hirotaka Ono

This paper studies the connection between a class of mean-field games and a social welfare optimization problem. We consider a mean-field game in function spaces with a large population of agents, and each agent seeks to minimize an…

Optimization and Control · Mathematics 2018-02-15 Sen Li , Wei Zhang , Lin Zhao

Partitioning a set of $n$ items or agents while maximizing the value of the partition is a fundamental algorithmic task. We study this problem in the specific setting of maximizing social welfare in additively separable hedonic games.…

Computer Science and Game Theory · Computer Science 2025-03-11 Martin Bullinger , Vaggos Chatziafratis , Parnian Shahkar

Consider a setting where selfish agents are to be assigned to coalitions or projects from a fixed set P. Each project k is characterized by a valuation function; v_k(S) is the value generated by a set S of agents working on project k. We…

Computer Science and Game Theory · Computer Science 2015-08-28 Elliot Anshelevich , Shreyas Sekar

This paper considers the problem of dividing agents among coalitions. We concentrate on Additively Separable Hedonic Games (ASHG's), in which each agent has a non-negative value for every other agent and her utility is the sum of the values…

Computer Science and Game Theory · Computer Science 2020-01-30 Naftali Waxman , Sarit Kraus , Noam Hazon

We study a class of non-cooperative aggregative games -- denoted as \emph{social purpose games} -- in which the payoffs depend separately on a player's own strategy (individual benefits) and on a function of the strategy profile which is…

Computer Science and Game Theory · Computer Science 2021-09-20 Robert P. Gilles , Lina Mallozzi , Roberta Messalli

This paper studies the connections between mean-field games and the social welfare optimization problems. We consider a mean field game in functional spaces with a large population of agents, each of which seeks to minimize an individual…

Optimization and Control · Mathematics 2016-09-27 Sen Li , Wei Zhang , Lin Zhao

Coalitional games serve the purpose of modeling payoff distribution problems in scenarios where agents can collaborate by forming coalitions in order to obtain higher worths than by acting in isolation. In the classical Transferable Utility…

Computer Science and Game Theory · Computer Science 2014-01-17 Gianluigi Greco , Enrico Malizia , Luigi Palopoli , Francesco Scarcello

In recent work by Bramoull\'{e} and Kranton, a model for the provision of public goods on a network was presented and relations between equilibria of such a game and properties of the network were established. This model was further…

Computer Science and Game Theory · Computer Science 2019-06-19 Karan N. Chadha , Ankur A. Kulkarni

We analyze the overall benefits of an energy community cooperative game under which distributed energy resources (DER) are shared behind a regulated distribution utility meter under a general net energy metering (NEM) tariff. Two community…

Computer Science and Game Theory · Computer Science 2024-07-26 Ahmed S. Alahmed , Lang Tong

Traditionally social sciences are interested in structuring people in multiple groups based on their individual preferences. This pa- per suggests an approach to this problem in the framework of a non- cooperative game theory. Definition of…

Optimization and Control · Mathematics 2017-05-02 Dmitry Levando

Not all real-world data are labeled, and when labels are not available, it is often costly to obtain them. Moreover, as many algorithms suffer from the curse of dimensionality, reducing the features in the data to a smaller set is often of…

Machine Learning · Computer Science 2022-05-19 Chiara Balestra , Florian Huber , Andreas Mayr , Emmanuel Müller

In many settings, there is an organizer who would like to divide a set of agents into $k$ coalitions, and cares about the friendships within each coalition. Specifically, the organizer might want to maximize utilitarian social welfare,…

Computer Science and Game Theory · Computer Science 2024-08-15 Hodaya Barr , Yohai Trabelsi , Sarit Kraus , Liam Roditty , Noam Hazon

Measuring individual productivity (or equivalently distributing the overall productivity) in a network structure of workers displaying peer effects has been a subject of ongoing interest in many areas ranging from academia to industry. In…

Computer Science and Game Theory · Computer Science 2024-02-07 N. Allouch , Luis A. Guardiola , A. Meca

Cooperative games are those in which both agents share the same payoff structure. Value-based reinforcement-learning algorithms, such as variants of Q-learning, have been applied to learning cooperative games, but they only apply when the…

Machine Learning · Computer Science 2017-05-25 Leonid Peshkin , Kee-Eung Kim , Nicolas Meuleau , Leslie Pack Kaelbling

Cooperative games are those in which both agents share the same payoff structure. Value-based reinforcement-learning algorithms, such as variants of Q-learning, have been applied to learning cooperative games, but they only apply when the…

Artificial Intelligence · Computer Science 2014-08-08 Leonid Peshkin , Kee-Eung Kim , Nicolas Meuleau , Leslie Pack Kaelbling

We consider a general class of multi-agent games in networks, namely the generalized vertex coloring games (G-VCGs), inspired by real-life applications of the venue selection problem in events planning. Certain utility responding to the…

Discrete Mathematics · Computer Science 2023-09-19 Zeyi Chen

Vehicle-to-roadside (V2R) communications enable vehicular networks to support a wide range of applications for enhancing the efficiency of road transportation. While existing work focused on non-cooperative techniques for V2R communications…

Information Theory · Computer Science 2010-10-08 Walid Saad , Zhu Han , Are Hjørungnes , Dusit Niyato , Ekram Hossain

We consider the constrained Schelling model of social segregation in which the utility factor of agents strictly increases and non-local jumps of the agents are allowed. In the present study, the utility factor u is defined in a way such…

Physics and Society · Physics 2016-03-09 Parna Roy , Parongama Sen
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