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The purpose of this work is to pose and solve the problem to guide a collection of weakly interacting dynamical systems (agents, particles, etc.) to a specified terminal distribution. The framework is that of mean-field and of cooperative…

Systems and Control · Computer Science 2017-12-12 Yongxin Chen , Tryphon T. Georgiou , Michele Pavon

The paper studies the routing in the network shared by several users. Each user seeks to optimize either its own performance or some combination between its own performance and that of other users, by controlling the routing of its given…

Computer Science and Game Theory · Computer Science 2008-10-14 Amar Prakash Azad , Eitan Altman , R. El-Azouzi

Coordinating the movement of multiple autonomous agents over a shared network is a fundamental challenge in algorithmic robotics, intelligent transportation, and distributed systems. The dominant approach, Multi-Agent Path Finding, relies…

Multiagent Systems · Computer Science 2026-02-04 Tesshu Hanaka , Nikolaos Melissinos , Hirotaka Ono

We broaden the basis of non-cooperative game theory by considering miscoordination on a solution concept. For any solution concept, we extend the solution set of a strategic-form game to a transition set. This set contains profiles where…

Computer Science and Game Theory · Computer Science 2023-12-05 Gleb Polevoy

In today's dynamic and interconnected world, resource constraints pose significant challenges across various domains, ranging from networks, logistics and manufacturing to project management and optimization, etc. Resource-constrained…

Computer Science and Game Theory · Computer Science 2023-11-09 Shiksha Singhal

In dynamic noncooperative games, each player makes conjectures about other players' reactions before choosing a strategy. However, resulting equilibria may be multiple and do not always lead to desirable outcomes. These issues are typically…

Computer Science and Game Theory · Computer Science 2025-11-24 Francesco Morri , Hélène Le Cadre , David Salas , Didier Aussel

Operating vehicles in adversarial environments between a recurring origin-destination pair requires new planning techniques. A two players zero-sum game is introduced. The goal of the first player is to minimize the expected casualties…

Artificial Intelligence · Computer Science 2014-08-27 Emmanuel Boidot , Aude Marzuoli , Eric Feron

Distributed Nash equilibrium (NE) seeking problem for multi-coalition games has attracted increasing attention in recent years, but the research mainly focuses on the case without agreement demand within coalitions. This paper considers a…

Optimization and Control · Mathematics 2021-12-10 Jialing Zhou , Yuezu Lv , Guanghui Wen , Jinhu Lv , Dezhi Zheng

We extend the list of games where the nucleolus is computable in polynomial time. Based on the classical MPS scheme, nucleolus computation can be reduced to the problem of finding a coalition with minimum excess that does not belong to a…

Computer Science and Game Theory · Computer Science 2026-05-29 Daniel Ebert , Antonia Ellerbrock

When people choose routes minimizing their individual delay, the aggregate congestion can be much higher compared to that experienced by a centrally-imposed routing. Yet centralized routing is incompatible with the presence of…

Systems and Control · Electrical Eng. & Systems 2021-03-08 Mauro Salazar , Dario Paccagnan , Andrea Agazzi , W. P. M. H. , Heemels

We study the subclass of singleton congestion games with identical and increasing cost functions, i.e., each agent tries to utilize from the least crowded resource in her accessible subset of resources. Our main contribution is a novel…

Computer Science and Game Theory · Computer Science 2020-11-04 Bugra Caskurlu , Ozgun Ekici , Fatih Erdem Kizilkaya

In the context of networking, research has focused on non-cooperative games, where the selfish agents cannot reach a binding agreement on the way they would share the infrastructure. Many approaches have been proposed for mitigating the…

Networking and Internet Architecture · Computer Science 2016-01-19 Gideon Blocq , Ariel Orda

Matching games naturally generalize assignment games, a well-known class of cooperative games. Interest in matching games has grown recently due to some breakthrough results and new applications. This state-of-the-art survey provides an…

Computer Science and Game Theory · Computer Science 2023-06-22 Márton Benedek , Péter Biró , Matthew Johnson , Daniël Paulusma , Xin Ye

The core of Transferable Utility (T.U.) games is a well-known solution concept from cooperative game theory yielding a cost allocation among n agents (called players) forming a coalition that is stable (i.e. no subset of players has an…

Optimization and Control · Mathematics 2025-12-02 Nicolas Besson-Niebles , Sylvain Bouveret , Nadia Brauner , Nicolas Brulard

The computation of a solution concept of a cooperative game usually employs values of all coalitions. However, in some applications, the values of some of the coalitions might be unknown due to high costs associated with their determination…

Computer Science and Game Theory · Computer Science 2023-03-31 Martin Cerny , Michel Grabisch

The work we present in this paper initiated the formal study of fractional hedonic games, coalition formation games in which the utility of a player is the average value he ascribes to the members of his coalition. Among other settings,…

Computer Science and Game Theory · Computer Science 2017-05-30 Haris Aziz , Florian Brandl , Felix Brandt , Paul Harrenstein , Martin Olsen , Dominik Peters

We study fair allocation of profit (or cost) for three central problems from combinatorial optimization: Max-Flow, MST and $b$-matching. The essentially unequivocal choice of solution concept for this purpose would be the core, because of…

Computer Science and Game Theory · Computer Science 2025-02-12 Rohith R. Gangam , Naveen Garg , Parnian Shahkar , Vijay V. Vazirani

We study strong equilibria in symmetric capacitated cost-sharing games. In these games, a graph with designated source $s$ and sink $t$ is given, and each edge is associated with some cost. Each agent chooses strategically an $s$-$t$ path,…

Computer Science and Game Theory · Computer Science 2016-11-18 Michal Feldman , Ofir Geri

We study bottleneck routing games where the social cost is determined by the worst congestion on any edge in the network. Bottleneck games have been studied in the literature by having the player's utility costs to be determined by the…

Computer Science and Game Theory · Computer Science 2009-11-24 Rajgopal Kannan , Costas Busch

We study relationships between different relaxed notions of core stability in hedonic games, which are a class of coalition formation games. Our unified approach applies to a newly introduced family of hedonic games, called $\alpha$-hedonic…

Computer Science and Game Theory · Computer Science 2024-12-10 Tom Demeulemeester , Jannik Peters
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