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Under the Markov decision process (MDP) congestion game framework, we study the problem of enforcing population distribution constraints on a population of players with stochastic dynamics and coupled congestion costs. Existing research…

Computer Science and Game Theory · Computer Science 2022-08-16 Sarah H. Q. Li , Yue Yu , Nicolas Miguel , Dan Calderone , Lillian J. Ratliff , Behcet Acikmese

We introduce a general representation of large-population games in which each player s influence ON the others IS centralized AND limited, but may otherwise be arbitrary.This representation significantly generalizes the class known AS…

Computer Science and Game Theory · Computer Science 2013-01-07 Michael Kearns , Yishay Mansour

In communication systems where users share common resources, users' selfish behavior usually results in suboptimal resource utilization. There have been extensive works that model communication systems with selfish users as one-shot games…

Information Theory · Computer Science 2011-11-11 Yuanzhang Xiao , Jaeok Park , Mihaela van der Schaar

The cost-sharing connection game is a variant of routing games on a network. In this model, given a directed graph with edge costs and edge capacities, each agent wants to construct a path from a source to a sink with low cost. The users…

Computer Science and Game Theory · Computer Science 2023-03-01 Tesshu Hanaka , Toshiyuki Hirose , Hirotaka Ono

As demonstrated by Ratliff et al. (2014), inverse optimization can be used to recover the objective function parameters of players in multi-player Nash games. These games involve the optimization problems of multiple players in which the…

Optimization and Control · Mathematics 2021-02-25 Stephanie Allen , John P. Dickerson , Steven A. Gabriel

We study the existence of approximate pure Nash equilibria ($\alpha$-PNE) in weighted atomic congestion games with polynomial cost functions of maximum degree $d$. Previously it was known that $d$-approximate equilibria always exist, while…

Computer Science and Game Theory · Computer Science 2022-03-29 George Christodoulou , Martin Gairing , Yiannis Giannakopoulos , Diogo Poças , Clara Waldmann

Synthesis of finite-state controllers from high-level specifications in multi-agent systems can be reduced to solving multi-player concurrent games over finite graphs. The complexity of solving such games with qualitative objectives for…

Computer Science and Game Theory · Computer Science 2018-09-28 Shaull Almagor , Rajeev Alur , Suguman Bansal

In this paper we consider an extension to the classical definition of congestion games (CG) in which multiple users share the same set of resources and their payoff for using any resource is a function of the total number of users sharing…

Computer Science and Game Theory · Computer Science 2009-10-23 Sahand Haji Ali Ahmad , Mingyan Liu , Yunnan Wu

We consider polymatrix coordination games with individual preferences where every player corresponds to a node in a graph who plays with each neighbor a separate bimatrix game with non-negative symmetric payoffs. In this paper, we study…

Computer Science and Game Theory · Computer Science 2015-04-29 Mona Rahn , Guido Schäfer

Here, we consider one-dimensional forward-forward mean-field games (MFGs) with congestion, which were introduced to approximate stationary MFGs. We use methods from the theory of conservation laws to examine the qualitative properties of…

Analysis of PDEs · Mathematics 2017-03-30 Diogo Gomes , Marc Sedjro

Game-theoretic models relevant for computer science applications usually feature a large number of players. The goal of this paper is to develop an analytical framework for bounding the price of anarchy in such models. We demonstrate the…

Computer Science and Game Theory · Computer Science 2015-04-06 Michal Feldman , Nicole Immorlica , Brendan Lucier , Tim Roughgarden , Vasilis Syrgkanis

Federated learning is a distributed learning paradigm where multiple agents, each only with access to local data, jointly learn a global model. There has recently been an explosion of research aiming not only to improve the accuracy rates…

Computer Science and Game Theory · Computer Science 2021-06-18 Kate Donahue , Jon Kleinberg

A central goal in algorithmic game theory is to analyze the performance of decentralized multiagent systems, like communication and information networks. In the absence of a central planner who can enforce how these systems are utilized,…

Computer Science and Game Theory · Computer Science 2022-05-10 Vasilis Gkatzelis , Kostas Kollias , Alkmini Sgouritsa , Xizhi Tan

In this work we completely characterize how the frequency with which each player participates in the game dynamics affects the possibility of reaching efficient states, i.e., states with an approximation ratio within a constant factor from…

Computer Science and Game Theory · Computer Science 2011-05-02 Angelo Fanelli , Luca Moscardelli , Alexander Skopalik

Network creation games model the creation and usage costs of networks formed by n selfish nodes. Each node v can buy a set of edges, each for a fixed price \alpha > 0. Its goal is to minimize its private costs, i.e., the sum (SUM-game,…

Computer Science and Game Theory · Computer Science 2014-09-19 Andreas Cord-Landwehr , Alexander Mäcker , Friedhelm Meyer auf der Heide

We consider the well-studied game-theoretic version of machine scheduling in which jobs correspond to self-interested users and machines correspond to resources. Here each user chooses a machine trying to minimize her own cost, and such…

Computer Science and Game Theory · Computer Science 2019-12-18 Cong Chen , Paolo Penna , Yinfeng Xu

Two important metrics for measuring the quality of routing paths are the maximum edge congestion $C$ and maximum path length $D$. Here, we study bicriteria in routing games where each player $i$ selfishly selects a path that simultaneously…

Computer Science and Game Theory · Computer Science 2008-02-01 Costas Busch , Rajgopal Kannan

We analyze ways by which people decompose into groups in distributed systems. We are interested in systems in which an agent can increase its utility by connecting to other agents, but must also pay a cost that increases with the size of…

Computer Science and Game Theory · Computer Science 2013-05-21 Shay Kutten , Ron Lavi , Amitabh Trehan

We study a static game played by a finite number of agents, in which agents are assigned independent and identically distributed random types and each agent minimizes its objective function by choosing from a set of admissible actions that…

Probability · Mathematics 2017-02-08 Daniel Lacker , Kavita Ramanan

We consider a basic resource allocation game, where the players' strategy spaces are subsets of $R^m$ and cost/utility functions are parameterized by some common vector $u\in R^m$ and, otherwise, only depend on the own strategy choice. A…

Computer Science and Game Theory · Computer Science 2020-02-24 Tobias Harks
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