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We study the problem of computing Stackelberg equilibria Stackelberg games whose underlying structure is in congestion games, focusing on the case where each player can choose a single resource (a.k.a. singleton congestion games) and one of…

计算机科学与博弈论 · 计算机科学 2018-08-31 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti , Stefano Coniglio

We study balanced solutions for network bargaining games with general capacities, where agents can participate in a fixed but arbitrary number of contracts. We provide the first polynomial time algorithm for computing balanced solutions for…

计算机科学与博弈论 · 计算机科学 2013-06-19 Linda Farczadi , Konstantinos Georgiou , Jochen Koenemann

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 Feinstein and Rudloff (2023), it was shown that the set of Nash equilibria for any non-cooperative $N$ player game coincides with the set of Pareto optimal points of a certain vector optimization problem with non-convex ordering cone. To…

最优化与控制 · 数学 2024-04-24 Zachary Feinstein , Niklas Hey , Birgit Rudloff

We study a multi-leader single-follower congestion game where multiple users (leaders) choose one resource out of a set of resources and, after observing the realized loads, an adversary (single-follower) attacks the resources with maximum…

计算机科学与博弈论 · 计算机科学 2021-12-15 Tobias Harks , Mona Henle , Max Klimm , Jannik Matuschke , Anja Schedel

We study the complexity of several combinatorial problems in the model of binary networked public goods games. In this game, players are represented by vertices in a network, and the action of each player can be either investing or not…

计算机科学与博弈论 · 计算机科学 2020-12-08 Yongjie Yang , Jianxin Wang

We initiate the study of congestion games with variable demands where the (variable) demand has to be assigned to exactly one subset of resources. The players' incentives to use higher demands are stimulated by non-decreasing and concave…

计算机科学与博弈论 · 计算机科学 2010-12-14 Tobias Harks , Max Klimm

Atomic congestion games are a classic topic in network design, routing, and algorithmic game theory, and are capable of modeling congestion and flow optimization tasks in various application areas. While both the price of anarchy for such…

计算机科学与博弈论 · 计算机科学 2024-10-23 Cornelius Brand , Robert Ganian , Subrahmanyam Kalyanasundaram , Fionn Mc Inerney

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

Network congestion games are a convenient model for reasoning about routing problems in a network: agents have to move from a source to a target vertex while avoiding congestion, measured as a cost depending on the number of players using…

计算机科学与博弈论 · 计算机科学 2022-07-05 Aline Goeminne , Nicolas Markey , Ocan Sankur

Coordinating the movement of multiple autonomous agents over a shared network is a fundamental challenge in algorithmic robotics, intelligent transportation, and distributed systems. The dominant approach, Multi-Agent Path Finding, relies…

多智能体系统 · 计算机科学 2026-02-04 Tesshu Hanaka , Nikolaos Melissinos , Hirotaka Ono

The problem of computing a common point that lies in the intersection of a finite number of closed convex sets, each known to one agent in a network, is studied. This issue, known as the distributed convex feasibility problem or the…

多智能体系统 · 计算机科学 2020-08-11 Dimitris Ampeliotis , Kostas Berberidis

An extensive literature in economics and social science addresses contests, in which players compete to outperform each other on some measurable criterion, often referred to as a player's score, or output. Players incur costs that are an…

计算机科学与博弈论 · 计算机科学 2013-08-01 Leslie Ann Goldberg , Paul W. Goldberg , Piotr Krysta , Carmine Ventre

We consider a game of decentralized timing of jobs to a single server (machine) with a penalty for deviation from a due date, and no delay costs. The jobs' sizes are homogeneous and deterministic. Each job belongs to a single decision…

计算机科学与博弈论 · 计算机科学 2017-10-17 Amihai Glazer , Refael Hassin , Liron Ravner

We refine existing general network optimization techniques, give new characterizations for the class of problems to which they can be applied, and show that they can also be used to solve various two-player games in almost linear time.…

计算机科学与博弈论 · 计算机科学 2008-01-29 Daniel Andersson

A fundamental open problem in monotone game theory is the computation of a specific generalized Nash equilibrium (GNE) among all the available ones, e.g. the optimal equilibrium with respect to a system-level objective. The existing GNE…

系统与控制 · 电气工程与系统科学 2022-03-16 Emilio Benenati , Wicak Ananduta , Sergio Grammatico

Market equilibria of matching markets offer an intuitive and fair solution for matching problems without money with agents who have preferences over the items. Such a matching market can be viewed as a variation of Fisher market, albeit…

计算机科学与博弈论 · 计算机科学 2017-04-03 Saeed Alaei , Pooya Jalaly , Eva Tardos

We study a class of games with a continuum of players for which Cournot-Nash equilibria can be obtained by the minimisation of some cost, related to optimal transport. This cost is not convex in the usual sense in general but it turns out…

偏微分方程分析 · 数学 2012-06-29 Adrien Blanchet , Guillaume Carlier

In this paper, we studied the equilibrium problem where the bi-function may be quasiconvex with respect to the second variable and the feasible set is the intersection of a finite number of convex sets. We propose a projection-algorithm,…

最优化与控制 · 数学 2020-10-02 Le Hai Yen , Le Dung Muu

We study the performance of approximate Nash equilibria for linear congestion games. We consider how much the price of anarchy worsens and how much the price of stability improves as a function of the approximation factor $\epsilon$. We…

计算机科学与博弈论 · 计算机科学 2008-12-18 George Christodoulou , Elias Koutsoupias , Paul Spirakis