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A central question in routing games has been to establish conditions for the uniqueness of the equilibrium, either in terms of network topology or in terms of costs. This question is well understood in two classes of routing games. The…

计算机科学与博弈论 · 计算机科学 2016-01-01 Eitan Altman , Corinne Touati

This paper studies a stochastic game theoretic approach to security and intrusion detection in communication and computer networks. Specifically, an Attacker and a Defender take part in a two-player game over a network of nodes whose…

密码学与安全 · 计算机科学 2010-03-15 Kien C. Nguyen , Tansu Alpcan , Tamer Basar

A recent body of experimental literature has studied empirical game-theoretical analysis, in which we have partial knowledge of a game, consisting of observations of a subset of the pure-strategy profiles and their associated payoffs to…

计算机科学与博弈论 · 计算机科学 2014-02-13 John Fearnley , Martin Gairing , Paul Goldberg , Rahul Savani

Congestion games offer a primary model in the study of pure Nash equilibria in non-cooperative games, and a number of generalized models have been proposed in the literature. One line of generalization includes weighted congestion games, in…

计算机科学与博弈论 · 计算机科学 2024-01-09 Kenjiro Takazawa

We introduce the concept of budget games. Players choose a set of tasks and each task has a certain demand on every resource in the game. Each resource has a budget. If the budget is not enough to satisfy the sum of all demands, it has to…

计算机科学与博弈论 · 计算机科学 2014-07-14 Maximilian Drees , Sören Riechers , Alexander Skopalik

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…

理论经济学 · 经济学 2024-02-07 Evan Sadler , Benjamin Golub

We put forward a new model of congestion games where agents have uncertainty over the routes used by other agents. We take a non-probabilistic approach, assuming that each agent knows that the number of agents using an edge is within a…

计算机科学与博弈论 · 计算机科学 2017-03-28 Reshef Meir , David Parkes

In this paper, we introduce malicious Bayesian congestion games as an extension to congestion games where players might act in a malicious way. In such a game each player has two types. Either the player is a rational player seeking to…

计算机科学与博弈论 · 计算机科学 2008-06-05 Martin Gairing

We study strategic games on weighted directed graphs, in which the payoff of a player is defined as the sum of the weights on the edges from players who chose the same strategy, augmented by a fixed non-negative integer bonus for picking a…

计算机科学与博弈论 · 计算机科学 2021-03-15 Krzysztof R. Apt , Sunil Simon , Dominik Wojtczak

With the advance of complex large-scale networks, it is becoming increasingly important to understand how selfish and spatially distributed individuals will share network resources without centralized coordinations. In this paper, we…

网络与互联网体系结构 · 计算机科学 2012-06-05 Richard Southwell , Jianwei Huang , Biying Shou

We consider the question of whether, and in what sense, Wardrop equilibria provide a good approximation for Nash equilibria in atomic unsplittable congestion games with a large number of small players. We examine two different definitions…

计算机科学与博弈论 · 计算机科学 2022-05-03 Roberto Cominetti , Marco Scarsini , Marc Schröder , Nicolás Stier-Moses

Many interactions result in a socially suboptimal equilibrium, or in a non-equilibrium state, from which arriving at an equilibrium through simple dynamics can be impossible of too long. Aiming to achieve a certain equilibrium, we persuade,…

计算机科学与博弈论 · 计算机科学 2023-12-07 Gleb Polevoy , Jonas Schweichhart

We study the problem of checking for the existence of constrained pure Nash equilibria in a subclass of polymatrix games defined on weighted directed graphs. The payoff of a player is defined as the sum of nonnegative rational weights on…

计算机科学与博弈论 · 计算机科学 2016-11-30 Sunil Simon , Dominik Wojtczak

Traditional non-atomic selfish routing games present some limitations in properly modeling road traffic. This paper introduces a novel type of non-atomic selfish routing game leveraging concepts from Daganzo's cell transmission model (CTM).…

最优化与控制 · 数学 2024-12-31 Tommaso Toso , Paolo Frasca , Alain Y. Kibangou

This work shows that the formation of a finite number of coalitions in a nonatomic network congestion game benefits everyone. At the equilibrium of the composite game played by coalitions and individuals, the average cost to each coalition…

计算机科学与博弈论 · 计算机科学 2015-03-20 Cheng Wan

We consider strategic games that are inspired by Schelling's model of residential segregation. In our model, the agents are partitioned into k types and need to select locations on an undirected graph. Agents can be either stubborn, in…

计算机科学与博弈论 · 计算机科学 2021-08-24 Edith Elkind , Jiarui Gan , Ayumi Igarashi , Warut Suksompong , Alexandros A. Voudouris

We apply Game Theory to a mathematical representation of two competing teams of agents connected within a complex network, where the ability of each side to manoeuvre their resource and degrade that of the other depends on their ability to…

物理与社会 · 物理学 2023-12-06 Andrew C. Cullen , Tansu Alpcan , Alexander C. Kalloniatis

We study a class of non-cooperative aggregative games -- denoted as \emph{social purpose games} -- in which the payoffs depend separately on a player's own strategy (individual benefits) and on a function of the strategy profile which is…

计算机科学与博弈论 · 计算机科学 2021-09-20 Robert P. Gilles , Lina Mallozzi , Roberta Messalli

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,…

计算机科学与博弈论 · 计算机科学 2016-11-18 Michal Feldman , Ofir Geri

We consider a general class of nonzero-sum $N$-player stochastic games with impulse controls, where players control the underlying dynamics with discrete interventions. We adopt a verification approach and provide sufficient conditions for…

最优化与控制 · 数学 2020-10-06 Matteo Basei , Haoyang Cao , Xin Guo