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We investigate strong Nash equilibria in the \emph{max $k$-cut game}, where we are given an undirected edge-weighted graph together with a set $\{1,\ldots, k\}$ of $k$ colors. Nodes represent players and edges capture their mutual…

计算机科学与博弈论 · 计算机科学 2018-10-23 Raffaello Carosi , Simone Fioravanti , Luciano Gualà , Gianpiero Monaco

Consider an undirected graph modeling a social network, where the vertices represent users, and the edges do connections among them. In the competitive diffusion game, each of a number of players chooses a vertex as a seed to propagate…

In the vertex connectivity survivable network design problem we are given an undirected graph G = (V,E) and connectivity requirement r(u,v) for each pair of vertices u,v. We are also given a cost function on the set of edges. Our goal is to…

数据结构与算法 · 计算机科学 2010-04-09 Pushkar Tripathi

Motivated by the controller placement problems in software-defined networks and the fair division principles of classical "cake cutting", we investigate the following two-player zero-sum game. In our model, a defender places a limited…

计算复杂性 · 计算机科学 2026-05-19 Grzegorz Gutowski , Konstanty Junosza-Szaniawski , Antonio Lauerbach , Alexander Wolff

We study a class of games in which a finite number of agents each controls a quantity of flow to be routed through a network, and are able to split their own flow between multiple paths through the network. Recent work on this model has…

计算机科学与博弈论 · 计算机科学 2007-11-09 P. W. Goldberg , P. Polpinit

A span of a given graph $G$ is the maximum distance that two players can keep at all times while visiting all vertices (edges) of $G$ and moving according to certain rules, that produce different variants of span. We prove that the vertex…

组合数学 · 数学 2025-03-31 Tanja Dravec , Mirjana Mikalački , Andrej Taranenko

Strategic network formation arises where agents receive benefit from connections to other agents, but also incur costs for forming links. We consider a new network formation game that incorporates an adversarial attack, as well as…

计算机科学与博弈论 · 计算机科学 2016-11-10 Sanjeev Goyal , Shahin Jabbari , Michael Kearns , Sanjeev Khanna , Jamie Morgenstern

The optimal connecting network problem generalizes many models of structure optimization known from the literature, including communication and transport network topology design, graph cut and graph clustering, structure identification from…

组合数学 · 数学 2018-08-22 Mikhail Goubko , Alexander Kuznetsov

According to the proportional allocation mechanism from the network optimization literature, users compete for a divisible resource -- such as bandwidth -- by submitting bids. The mechanism allocates to each user a fraction of the resource…

计算机科学与博弈论 · 计算机科学 2014-02-17 Ioannis Caragiannis , Alexandros A. Voudouris

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

Consider a set of agents who play a network game repeatedly. Agents may not know the network. They may even be unaware that they are interacting with other agents in a network. Possibly, they just understand that their payoffs depend on an…

理论经济学 · 经济学 2022-07-26 Pierpaolo Battigalli , Fabrizio Panebianco , Paolo Pin

We propose a model of discrete time dynamic congestion games with atomic players and a single source-destination pair. The latencies of edges are composed by free-flow transit times and possible queuing time due to capacity constraints. We…

计算机科学与博弈论 · 计算机科学 2019-01-03 Marco Scarsini , Marc Schröder , Tristan Tomala

This paper shows the existence of $\mathcal{O}(\frac{1}{n^\gamma})$-Nash equilibria in $n$-player noncooperative sum-aggregative games in which the players' cost functions, depending only on their own action and the average of all players'…

最优化与控制 · 数学 2022-09-27 Kang Liu , Nadia Oudjane , Cheng Wan

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…

计算机科学与博弈论 · 计算机科学 2021-06-18 Kate Donahue , Jon Kleinberg

This paper aims to reduce the communication and computation costs of the Nash equilibrium seeking strategy for the $N$-coalition noncooperative games proposed in [1]. The objective is achieved in two manners: 1. An interference graph is…

最优化与控制 · 数学 2019-06-05 Maojiao Ye , Guoqiang Hu , Frank L. Lewis , Lihua Xie

This paper considers a 2-player strategic game for network routing under link disruptions. Player 1 (defender) routes flow through a network to maximize her value of effective flow while facing transportation costs. Player 2 (attacker)…

计算机科学与博弈论 · 计算机科学 2016-04-19 Mathieu Dahan , Saurabh Amin

We study the inefficiency of equilibria for various classes of games when players are (partially) altruistic. We model altruistic behavior by assuming that player i's perceived cost is a convex combination of 1-\alpha_i times his direct…

计算机科学与博弈论 · 计算机科学 2013-02-21 Po-An Chen , Bart de Keijzer , David Kempe , Guido Schaefer

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…

计算机科学与博弈论 · 计算机科学 2021-11-16 Jean Carlo Moraes

We investigate traffic routing both from the perspective of theory as well as real world data. First, we introduce a new type of games: $\theta$-free flow games. Here, commuters only consider, in their strategy sets, paths whose free-flow…

计算机科学与博弈论 · 计算机科学 2022-03-22 Francisco Benita , Vittorio Bilò , Barnabé Monnot , Georgios Piliouras , Cosimo Vinci

In the Binary Networked Public Goods game, every player needs to decide if she participates in a public project whose utility is shared equally by the community. We study the problem of deciding if there exists a pure strategy Nash…

计算机科学与博弈论 · 计算机科学 2021-12-21 Arnab Maiti , Palash Dey
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