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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 consider the well-studied game-theoretic version of machine scheduling in which jobs correspond to self-interested users and machines correspond to resources. Here each user chooses a machine trying to minimize her own cost, and such…

Computer Science and Game Theory · Computer Science 2019-12-18 Cong Chen , Paolo Penna , Yinfeng Xu

We present new coordination mechanisms for scheduling selfish jobs on $m$ unrelated machines. A coordination mechanism aims to mitigate the impact of selfishness of jobs on the efficiency of schedules by defining a local scheduling policy…

Computer Science and Game Theory · Computer Science 2011-07-12 Ioannis Caragiannis

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…

Computer Science and Game Theory · Computer Science 2008-12-18 George Christodoulou , Elias Koutsoupias , Paul Spirakis

We consider the classical machine scheduling, where $n$ jobs need to be scheduled on $m$ machines, and where job $j$ scheduled on machine $i$ contributes $p_{i,j}\in \mathbb{R}$ to the load of machine $i$, with the goal of minimizing the…

Computer Science and Game Theory · Computer Science 2020-09-09 Cong Chen , Paul Giessler , Akaki Mamageishvili , Matus Mihalak , Paolo Penna

We study the inefficiency of mixed equilibria, expressed as the price of anarchy, of all-pay auctions in three different environments: combinatorial, multi-unit and single-item auctions. First, we consider item-bidding combinatorial…

Computer Science and Game Theory · Computer Science 2015-08-06 George Christodoulou , Alkmini Sgouritsa , Bo Tang

We study coordination mechanisms for Scheduling Games (with unrelated machines). In these games, each job represents a player, who needs to choose a machine for its execution, and intends to complete earliest possible. Our goal is to design…

Computer Science and Game Theory · Computer Science 2012-02-21 Johanne Cohen , Christoph Dürr , Nguyen Kim Thang

We study cost-sharing games in real-time scheduling systems where the activation cost of the server at any given time is a function of its load. We focus on monomial cost functions and consider both the case when the degree is less than one…

Computer Science and Game Theory · Computer Science 2019-07-16 Eirini Georgoulaki , Kostas Kollias

We study a general scenario of simultaneous contests that allocate prizes based on equal sharing: each contest awards its prize to all players who satisfy some contest-specific criterion, and the value of this prize to a winner decreases as…

Computer Science and Game Theory · Computer Science 2022-07-19 Edith Elkind , Abheek Ghosh , Paul W. Goldberg

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

Several works have recently suggested to model the problem of coordinating the charging needs of a fleet of electric vehicles as a game, and have proposed distributed algorithms to coordinate the vehicles towards a Nash equilibrium of such…

Systems and Control · Computer Science 2018-10-30 Dario Paccagnan , Francesca Parise , John Lygeros

We reconsider the well-studied Selfish Routing game with affine latency functions. The Price of Anarchy for this class of games takes maximum value 4/3; this maximum is attained already for a simple network of two parallel links, known as…

Computer Science and Game Theory · Computer Science 2015-03-20 George Christodoulou , Kurt Mehlhorn , Evangelia Pyrga

We consider a scheduling game on parallel related machines, in which jobs try to minimize their completion time by choosing a machine to be processed on. Each machine uses an individual priority list to decide on the order according to…

Computer Science and Game Theory · Computer Science 2023-11-28 Vipin Ravindran Vijayalakshmi , Marc Schröder , Tami Tamir

Game theory has emerged as a fruitful paradigm for the design of networked multiagent systems. A fundamental component of this approach is the design of agents' utility functions so that their self-interested maximization results in a…

Computer Science and Game Theory · Computer Science 2020-03-12 Dario Paccagnan , Rahul Chandan , Jason R. Marden

In classical job-scheduling games, each job behaves as a selfish player, choosing a machine to minimize its own completion time. To reduce the equilibria inefficiency, coordination mechanisms are employed, allowing each machine to follow…

Computer Science and Game Theory · Computer Science 2025-02-11 Gilad Lavie , Tami Tamir

In this paper we study quality measures of different solution concepts for the multicast network design game on a ring topology. We recall from the literature a lower bound of 4/3 and prove a matching upper bound for the price of stability,…

Computer Science and Game Theory · Computer Science 2015-07-16 Akaki Mamageishvili , Matus Mihalak

We present a new class of vertex cover and set cover games. The price of anarchy bounds match the best known constant factor approximation guarantees for the centralized optimization problems for linear and also for submodular costs -- in…

Computer Science and Game Theory · Computer Science 2012-03-02 Georgios Piliouras , Tomas Valla , Laszlo A. Vegh

The design of distributed algorithms is central to the study of multiagent systems control. In this paper, we consider a class of combinatorial cost-minimization problems and propose a framework for designing distributed algorithms with a…

Systems and Control · Computer Science 2019-03-18 Rahul Chandan , Dario Paccagnan , Jason R. Marden

We consider the scheduling problem on $n$ strategic unrelated machines when no payments are allowed, under the objective of minimizing the makespan. We adopt the model introduced in [Koutsoupias, Theory Comput. Syst. (2014)] where a machine…

Computer Science and Game Theory · Computer Science 2018-12-05 Yiannis Giannakopoulos , Elias Koutsoupias , Maria Kyropoulou

We study policies aiming to minimize the weighted sum of completion times of jobs in the context of coordination mechanisms for selfish scheduling problems. Our goal is to design local policies that achieve a good price of anarchy in the…

Computer Science and Game Theory · Computer Science 2010-12-23 Richard Cole , José R. Correa , Vasilis Gkatzelis , Vahab Mirrokni , Neil Olver
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