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Related papers: Dynamic network congestion games

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We prove that every finite two-person shortest path game, where the local cost of every move is positive for each player, has a Nash equilibrium (NE) in pure stationary strategies, which can be computed in polynomial time. We also extend…

Discrete Mathematics · Computer Science 2025-05-22 Endre Boros , Khaled Elbassioni , Vladimir Gurvich , Mikhail Vyalyi

Although dynamic games provide a rich paradigm for modeling agents' interactions, solving these games for real-world applications is often challenging. Many real-world interactive settings involve general nonlinear state and input…

Robotics · Computer Science 2023-08-08 Maulik Bhatt , Yixuan Jia , Negar Mehr

To what extent does the structure of the players' strategy space influence the efficiency of decentralized solutions in congestion games? In this work, we investigate whether better performance are possible when restricting to load…

Computer Science and Game Theory · Computer Science 2022-02-25 Vittorio Bilò , Cosimo Vinci

How is efficiency affected when demand excesses over supply are signalled through waiting in queues? We consider a class of congestion games with a nonatomic set of players of a constant mass, based on a formulation of generic linear…

Computer Science and Game Theory · Computer Science 2020-11-18 Costas Courcoubetis , Antonis Dimakis

We consider a strategic game, where players submit jobs to a machine that executes all jobs in a way that minimizes energy while respecting the given deadlines. The energy consumption is then charged to the players in some way. Each player…

Computer Science and Game Theory · Computer Science 2017-07-11 Christoph Dürr , Łukasz Jeż , Óscar C. Vásquez

In cost sharing games, the existence and efficiency of pure Nash equilibria fundamentally depends on the method that is used to share the resources' costs. We consider a general class of resource allocation problems in which a set of…

Computer Science and Game Theory · Computer Science 2015-02-05 Max Klimm , Daniel Schmand

In this paper, we consider a large class of constrained non-cooperative stochastic Markov games with countable state spaces and discounted cost criteria. In one-player case, i.e., constrained discounted Markov decision models, it is…

Optimization and Control · Mathematics 2021-12-16 Anna Jaśkiewicz , Andrzej S. Nowak

We study network games in which players choose both the partners with whom they associate and an action level (e.g., effort) that creates spillovers for those partners. We introduce a framework and two solution concepts, extending standard…

Theoretical Economics · Economics 2024-02-07 Evan Sadler , Benjamin Golub

Motivated by the complex dynamics of cooperative and competitive interactions within networked agent systems, multi-cluster games provide a framework for modeling the interconnected goals of self-interested clusters of agents. For this…

Optimization and Control · Mathematics 2024-04-24 Duong Thuy Anh Nguyen , Mattia Bianchi , Florian Dörfler , Duong Tung Nguyen , Angelia Nedić

We study repeated games where players use an exponential learning scheme in order to adapt to an ever-changing environment. If the game's payoffs are subject to random perturbations, this scheme leads to a new stochastic version of the…

Probability · Mathematics 2010-10-22 Panayotis Mertikopoulos , Aris L. Moustakas

This paper investigates Nash equilibria (NEs) in multi-player turn-based games on graphs, where player preferences are modeled as $\omega$-automatic relations via deterministic parity automata. Unlike much of the existing literature, which…

Logic in Computer Science · Computer Science 2026-01-23 Véronique Bruyère , Christophe Grandmont , Jean-François Raskin

A strategy profile in a multi-player game is a Nash equilibrium if no player can unilaterally deviate to achieve a strictly better payoff. A profile is an $\epsilon$-Nash equilibrium if no player can gain more than $\epsilon$ by…

Computer Science and Game Theory · Computer Science 2026-01-27 Ali Asadi , Léonard Brice , Krishnendu Chatterjee , K. S. Thejaswini

In resource contribution games, a class of non-cooperative games, the players want to obtain a bundle of resources and are endowed with bags of bundles of resources that they can make available into a common for all to enjoy. Available…

Computer Science and Game Theory · Computer Science 2024-04-01 Nicolas Troquard

We introduce a new class of context dependent, incomplete information games to serve as structured prediction models for settings with significant strategic interactions. Our games map the input context to outcomes by first condensing the…

Machine Learning · Computer Science 2019-05-30 Vikas K. Garg , Tommi Jaakkola

We study natural strategic games on directed graphs, which capture the idea of coordination in the absence of globally common strategies. We show that these games do not need to have a pure Nash equilibrium and that the problem of…

Computer Science and Game Theory · Computer Science 2016-06-27 Krzysztof R. Apt , Sunil Simon , Dominik Wojtczak

A growing body of literature in networked systems research relies on game theory and mechanism design to model and address the potential lack of cooperation between self-interested users. Most game-theoretic models applied to system…

Computer Science and Game Theory · Computer Science 2007-05-23 Nicolas Christin , Jens Grossklags , John Chuang

We consider a class of Nash games, termed as aggregative games, being played over a networked system. In an aggregative game, a player's objective is a function of the aggregate of all the players' decisions. Every player maintains an…

Optimization and Control · Mathematics 2016-06-10 Jayash Koshal , Angelia Nedić , Uday V. Shanbhag

The congestion game is a powerful model that encompasses a range of engineering systems such as traffic networks and resource allocation. It describes the behavior of a group of agents who share a common set of $F$ facilities and take…

Computer Science and Game Theory · Computer Science 2023-06-27 Jing Dong , Jingyu Wu , Siwei Wang , Baoxiang Wang , Wei Chen

Recently, a new model extending the standard replicator equation to a finite set of players connected on an arbitrary graph was developed in evolutionary game dynamics. The players are interpreted as subpopulations of multipopulations…

Computer Science and Game Theory · Computer Science 2021-11-16 Jean Carlo Moraes

The distributed computation of equilibria and optima has seen growing interest in a broad collection of networked problems. We consider the computation of equilibria of convex stochastic Nash games characterized by a possibly nonconvex…

Optimization and Control · Mathematics 2019-08-05 Jinlong Lei , Uday V. Shanbhag
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