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In this paper, we introduce an improved upper bound for the efficiency of Nash equilibria in utilitarian scheduling games on related machines. The machines have varying speeds and adhere to the Shortest Processing Time (SPT) policy as the…

Computer Science and Game Theory · Computer Science 2024-01-12 Andre Berger , Arman Rouhani , Marc Schröder

We consider a game-theoretic variant of an interval scheduling problem. Every job is associated with a length, a weight, and a color. Each player controls all the jobs of a specific color, and needs to decide on a processing interval for…

Computer Science and Game Theory · Computer Science 2026-01-22 Vipin Ravindran Vijayalakshmi , Marc Schroder , Tami Tamir

This paper studies the effects of introducing altruistic agents into atomic congestion games. Altruistic behavior is modeled by a trade-off between selfish and social objectives. In particular, we assume agents optimize a linear combination…

Computer Science and Game Theory · Computer Science 2009-02-04 Martin Hoefer , Alexander Skopalik

The efficiency of a game is typically quantified by the price of anarchy (PoA), defined as the worst ratio of the objective function value of an equilibrium --- solution of the game --- and that of an optimal outcome. Given the tremendous…

Computer Science and Game Theory · Computer Science 2017-08-23 Nguyen Kim Thang

We present and study a new model for energy-aware and profit-oriented scheduling on a single processor. The processor features dynamic speed scaling as well as suspension to a sleep mode. Jobs arrive over time, are preemptable, and have…

Data Structures and Algorithms · Computer Science 2012-09-14 Peter Kling , Andreas Cord-Landwehr , Frederik Mallmann-Trenn

This paper investigates the equilibrium convergence properties of a proposed algorithm for potential games with continuous strategy spaces in the presence of feedback delays, a main challenge in multi-agent systems that compromises the…

Optimization and Control · Mathematics 2023-03-20 Yuanhanqing Huang , Jianghai Hu

We introduce a novel adversarial model for scheduling with explorable uncertainty. In this model, the processing time of a job can potentially be reduced (by an a priori unknown amount) by testing the job. Testing a job $j$ takes one unit…

Data Structures and Algorithms · Computer Science 2020-05-15 Christoph Dürr , Thomas Erlebach , Nicole Megow , Julie Meißner

We consider non-cooperative unsplittable congestion games where players share resources, and each player's strategy is pure and consists of a subset of the resources on which it applies a fixed weight. Such games represent unsplittable…

Computer Science and Game Theory · Computer Science 2013-08-20 Rajgopal Kannan , Costas Busch , Paul Spirakis

The decisions that human beings make to allocate time has significant bearing on economic output and to the sustenance of social networks. The time allocation problem motivates our formal analysis of the resource allocation game, where…

Computer Science and Game Theory · Computer Science 2018-08-28 Wei-Chun Lee , Vasilis Livanos , Ruta Mehta , Hari Sundaram

How is efficiency affected when demand excesses over supply are signalled through waiting in queues? We consider a class of congestion games with a nonatomic set of players of a constant mass, based on a formulation of generic linear…

Computer Science and Game Theory · Computer Science 2020-11-18 Costas Courcoubetis , Antonis Dimakis

In many scheduling applications, minimizing delays is of high importance. One adverse effect of such delays is that the reward for completion of a job may decay over time. Indeed in healthcare settings, delays in access to care can result…

Systems and Control · Computer Science 2016-10-24 Neal Master , Carri W. Chan , Nicholas Bambos

When two or more self-interested agents put their plans to execution in the same environment, conflicts may arise as a consequence, for instance, of a common utilization of resources. In this case, an agent can postpone the execution of a…

Artificial Intelligence · Computer Science 2015-03-05 Jaume Jordán , Eva Onaindia

We study assignment games in which jobs select machines, and in which certain pairs of jobs may conflict, which is to say they may incur an additional cost when they are both assigned to the same machine, beyond that associated with the…

Computer Science and Game Theory · Computer Science 2014-02-11 Elliot Anshelevich , John Postl , Tom Wexler

In this paper, we extend the discussion of the price of anarchy of machine scheduling games to a multi-stage machine setting. The multi-stage setting arises naturally in manufacturing pipelines and distributed computing workflows, when each…

Computer Science and Game Theory · Computer Science 2025-12-02 Ho-Lin Chen , Pin-Ju Huang

We study strong stability of Nash equilibria in load balancing games of m (m >= 2) identical servers, in which every job chooses one of the m servers and each job wishes to minimize its cost, given by the workload of the server it chooses.…

Computer Science and Game Theory · Computer Science 2015-06-17 Bo Chen , Song-Song Li , Yu-Zhong Zhang

We introduce natural strategic games on graphs, which capture the idea of coordination in a local setting. We study the existence of equilibria that are resilient to coalitional deviations of unbounded and bounded size (i.e., strong…

Computer Science and Game Theory · Computer Science 2016-10-19 Krzysztof R. Apt , Bart de Keijzer , Mona Rahn , Guido Schaefer , Sunil Simon

A central goal in algorithmic game theory is to analyze the performance of decentralized multiagent systems, like communication and information networks. In the absence of a central planner who can enforce how these systems are utilized,…

Computer Science and Game Theory · Computer Science 2022-05-10 Vasilis Gkatzelis , Kostas Kollias , Alkmini Sgouritsa , Xizhi Tan

In this paper, we investigate the seeking of Nash equilibrium (NE) in a non-cooperative quadratic game where all agents exchange their delayed strategy information with their neighbors. To extend best-response algorithms to the delayed…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Kaichen Jiang , Yuyue Yan , Mingda Yue , Yuhu Wu

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

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