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We study {\em bottleneck routing games} where the social cost is determined by the worst congestion on any edge in the network. In the literature, bottleneck games assume player utility costs determined by the worst congested edge in their…

Computer Science and Game Theory · Computer Science 2015-05-18 Rajgopal Kannan , Costas Busch

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…

Computer Science and Game Theory · Computer Science 2014-02-13 John Fearnley , Martin Gairing , Paul Goldberg , Rahul Savani

This paper studies the monotonicity of equilibrium costs and equilibrium loads in nonatomic congestion games, in response to variations of the demands. The main goal is to identify conditions under which a paradoxical non-monotone behavior…

Computer Science and Game Theory · Computer Science 2024-02-07 Roberto Cominetti , Valerio Dose , Marco Scarsini

We study the efficiency of simple combinatorial auctions for the allocation of a set of items to a set of agents, with private subadditive valuation functions and budget constraints. The class we consider includes all auctions that allocate…

Computer Science and Game Theory · Computer Science 2020-07-29 Alexandros A. Voudouris

We present polynomial-time algorithms as well as hardness results for equilibrium computation in atomic splittable routing games, for the case of general convex cost functions. These games model traffic in freight transportation, market…

Computer Science and Game Theory · Computer Science 2018-04-27 Umang Bhaskar , Phani Raj Lolakapuri

This paper formulates a Stackelberg game between a coordination agent and participating homes to control the overall load consumption of a residential neighborhood. Each home optimizes a comfort-cost trade off to determine a load schedule…

Optimization and Control · Mathematics 2024-01-30 Erhan Can Ozcan , Ioannis Ch. Paschalidis

This paper considers games where the utilities for agents are the sum of a term proportional to a social utility, and another term that is an individual cost or reward. The agents are assumed to be irrational in their perception of the…

Computer Science and Game Theory · Computer Science 2026-05-21 Ashok Krishnan K. S. , Helene Le Cadre , Ana Busic

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…

Computer Science and Game Theory · Computer Science 2018-08-31 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti , Stefano Coniglio

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…

Computer Science and Game Theory · Computer Science 2010-03-17 Martin Hoefer

Routing games are amongst the most studied classes of games. Their two most well-known properties are that learning dynamics converge to equilibria and that all equilibria are approximately optimal. In this work, we perform a stress test…

Computer Science and Game Theory · Computer Science 2022-01-28 Thiparat Chotibut , Fryderyk Falniowski , Michał Misiurewicz , Georgios Piliouras

This paper gives a complete analysis of worst-case equilibria for various versions of weighted congestion games with two players and affine cost functions. The results are exact price of anarchy bounds which are parametric in the weights of…

Computer Science and Game Theory · Computer Science 2022-03-04 Joran van den Bosse , Marc Uetz , Matthias Walter

We introduce consumption games, a model for discrete interactive system with multiple resources that are consumed or reloaded independently. More precisely, a consumption game is a finite-state graph where each transition is labeled by a…

Computer Science and Game Theory · Computer Science 2012-06-01 Tomáš Brázdil , Krishnendu Chatterjee , Antonín Kučera , Petr Novotný

Congestion game is a widely used model for modern networked applications. A central issue in such applications is that the selfish behavior of the participants may result in resource overloading and negative externalities for the system…

Systems and Control · Electrical Eng. & Systems 2020-02-17 Ezra Tampubolon , Haris Ceribasic , Holger Boche

We consider clustering games in which the players are embedded in a network and want to coordinate (or anti-coordinate) their strategy with their neighbors. The goal of a player is to choose a strategy that maximizes her utility given the…

Computer Science and Game Theory · Computer Science 2020-11-20 Pieter Kleer , Guido Schäfer

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…

Computer Science and Game Theory · Computer Science 2016-01-01 Eitan Altman , Corinne Touati

In sponsored content and service markets, the content and service providers are able to subsidize their target mobile users through directly paying the mobile network operator, to lower the price of the data/service access charged by the…

Networking and Internet Architecture · Computer Science 2021-08-17 Wenbo Wang , Zehui Xiong , Dusit Niyato , Ping Wang , Zhu Han

We provide an in-depth study of Nash equilibria in multi-objective normal form games (MONFGs), i.e., normal form games with vectorial payoffs. Taking a utility-based approach, we assume that each player's utility can be modelled with a…

Computer Science and Game Theory · Computer Science 2022-07-19 Willem Röpke , Diederik M. Roijers , Ann Nowé , Roxana Rădulescu

We consider multi-agent decision making where each agent optimizes its convex cost function subject to individual and coupling constraints. The constraint sets are compact convex subsets of a Euclidean space. To learn Nash equilibria, we…

Optimization and Control · Mathematics 2018-10-16 Tatiana Tatarenko , Maryam Kamgarpour

We study selfish routing games where users can choose between regular and priority service for each network edge on their chosen path. Priority users pay an additional fee, but in turn they may travel the edge prior to non-priority users,…

Computer Science and Game Theory · Computer Science 2026-02-09 Yang Li , Alexander Skopalik , Marc Uetz

We investigate the price of anarchy (PoA) in non-atomic congestion games when the total demand $T$ gets very large. First results in this direction have recently been obtained by \cite{Colini2016On, Colini2017WINE, Colini2017arxiv} for…

Computer Science and Game Theory · Computer Science 2021-07-20 Wu Zijun , Moehring Rolf H. , Chen Yanyan , Xu Dachuan