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In stochastic Nash equilibrium problems (SNEPs), it is natural for players to be uncertain about their complex environments and have multi-dimensional unknown parameters in their models. Among various SNEPs, this paper focuses on locally…

最优化与控制 · 数学 2022-04-06 Yuanhanqing Huang , Jianghai Hu

To verify the robustness of a program or protocol, it is common in the computer science community to rely on the theoretical framework of game theory. In particular, if one seeks to enforce a desired property, or specification, despite an…

计算机科学与博弈论 · 计算机科学 2026-05-20 Léonard Brice

In this paper we consider strategic cost sharing games with so-called arbitrary sharing based on various combinatorial optimization problems, such as vertex and set cover, facility location, and network design problems. We concentrate on…

计算机科学与博弈论 · 计算机科学 2010-03-17 Martin Hoefer

In this paper, we study the distributed sketching complexity of connectivity. In distributed graph sketching, an $n$-node graph $G$ is distributed to $n$ players such that each player sees the neighborhood of one vertex. The players then…

数据结构与算法 · 计算机科学 2020-07-27 Huacheng Yu

This paper discusses a special type of multi-user communication scenario, in which users' utilities are linearly impacted by their competitors' actions. First, we explicitly characterize the Nash equilibrium and Pareto boundary of the…

计算机科学与博弈论 · 计算机科学 2009-08-13 Yi Su , Mihaela van der Schaar

Best response (BR) dynamics is a natural method by which players proceed toward a pure Nash equilibrium via a local search method. The quality of the equilibrium reached may depend heavily on the order by which players are chosen to perform…

计算机科学与博弈论 · 计算机科学 2020-02-27 Michal Feldman , Yuval Snappir , Tami Tamir

We consider a 3-player game in the normal form, in which each player has two actions. We assume that the game is symmetric and repeated infinitely many times. At each stage players make their choices knowing only the average payoffs from…

最优化与控制 · 数学 2018-05-16 Tadeusz Kufel , Sławomir Plaskacz , Joanna Zwierzchowska

We study the problem of computing approximate Nash equilibria of bimatrix games, in a setting where players initially know their own payoffs but not the payoffs of the other player. In order for a solution of reasonable quality to be found,…

计算机科学与博弈论 · 计算机科学 2013-02-18 Paul Goldberg , Arnoud Pastink

We model the interaction of several radio devices aiming to obtain wireless connectivity by using a set of base stations (BS) as a non-cooperative game. Each radio device aims to maximize its own spectral efficiency (SE) in two different…

计算机科学与博弈论 · 计算机科学 2009-08-13 S. M. Perlaza , E. V. Belmega , S. Lasaulce , M. Debbah

We study the interaction between a network designer and an adversary over a dynamical network. The network consists of nodes performing continuous-time distributed averaging. The goal of the network designer is to assist the nodes reach…

最优化与控制 · 数学 2013-04-02 Ali Khanafer , Behrouz Touri , Tamer Başar

The goal in this paper is to approximate the Price of Stability (PoS) in stochastic Nash games using stochastic approximation (SA) schemes. PoS is amongst the most popular metrics in game theory and provides an avenue for estimating the…

最优化与控制 · 数学 2023-10-31 Afrooz Jalilzadeh , Farzad Yousefian , Mohammadjavad Ebrahimi

Cooperative game theory deals with systems where players want to cooperate to improve their payoffs. But players may choose coalitions in a non-cooperative manner, leading to a coalition-formation game. We consider such a game with several…

计算机科学与博弈论 · 计算机科学 2020-12-08 Shiksha Singhal , Veeraruna Kavitha

Congestion games are a classical type of games studied in game theory, in which n players choose a resource, and their individual cost increases with the number of other players choosing the same resource. In network congestion games…

计算机科学与博弈论 · 计算机科学 2020-09-30 Nathalie Bertrand , Nicolas Markey , Suman Sadhukhan , Ocan Sankur

Mean field games are limit models for symmetric $N$-player games with interaction of mean field type as $N\to\infty$. The limit relation is often understood in the sense that a solution of a mean field game allows to construct approximate…

概率论 · 数学 2017-05-29 Markus Fischer

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…

计算机科学与博弈论 · 计算机科学 2022-03-29 George Christodoulou , Martin Gairing , Yiannis Giannakopoulos , Diogo Poças , Clara Waldmann

We propose a general class of symmetric games called position-optimization games. Given a probability distribution $Q$ over a set of targets $\mathcal{Y}$, the $n$ players each choose a position in a space $\mathcal{X}$. A player's utility…

计算机科学与博弈论 · 计算机科学 2026-02-18 Rafael Frongillo , Melody Hsu , Mary Monroe , Anish Thilagar

We analyze the robustness of (pure strategy) Nash equilibria for network games against perturbations of the players' utility functions. We first derive a simple characterization of the margin of robustness, defined as the minimum magnitude…

计算机科学与博弈论 · 计算机科学 2020-04-28 Laura Arditti , Giacomo Como , Fabio Fagnani , Martina Vanelli

Many distributed systems can be modeled as network games: a collection of selfish players that communicate in order to maximize their individual utilities. The performance of such games can be evaluated through the costs of the system…

分布式、并行与集群计算 · 计算机科学 2015-05-18 Petr Kuznetsov , Stefan Schmid

In this paper, we enable the coexistence of multiple wireless body area networks (BANs) using a finite repeated non-cooperative game, in which BANs are rational players but act selfishly. A game-theoretic based transmit power control scheme…

网络与互联网体系结构 · 计算机科学 2014-12-24 Jie Dong , David B. Smith , Leif W. Hanlen

Job-scheduling games have traditionally assumed fixed processing times. However, in many realistic environments, ranging from cyber-security response to high-frequency trading, a task's duration depends on its starting time. We study…

计算机科学与博弈论 · 计算机科学 2026-04-29 Ido Borenstein , Tami Tamir