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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

Power system operators and electric utility companies often impose a coincident peak demand charge on customers when the aggregate system demand reaches its maximum. This charge incentivizes customers to strategically shift their peak usage…

系统与控制 · 电气工程与系统科学 2025-05-16 Liudong Chen , Jay Sethuraman , Bolun Xu

We study the computation of approximate pure Nash equilibria in Shapley value (SV) weighted congestion games, introduced in [19]. This class of games considers weighted congestion games in which Shapley values are used as an alternative (to…

计算机科学与博弈论 · 计算机科学 2017-11-28 Matthias Feldotto , Martin Gairing , Grammateia Kotsialou , Alexander Skopalik

The property of the communication network and the constraints on the strategic space are two factors that determine the complexity of the distributed Nash equilibrium (DNE) seeking problem. The DNE seeking problem of aggregative games has…

最优化与控制 · 数学 2025-02-26 Zhaocong Liu , Jie Huang

We introduce a new measure of the discrepancy in strategic games between the social welfare in a Nash equilibrium and in a social optimum, that we call selfishness level. It is the smallest fraction of the social welfare that needs to be…

计算机科学与博弈论 · 计算机科学 2014-04-04 Krzysztof R. Apt , Guido Schaefer

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…

计算机科学与博弈论 · 计算机科学 2011-07-12 Ioannis Caragiannis

This technical note presents a leader-follower scheme for network aggregative games. The followers and leader are selfish cost minimizing agents. The cost function of each follower is affected by strategy of leader and aggregated strategies…

系统与控制 · 电气工程与系统科学 2019-08-08 Mohammad Shokri , Hamed Kebriaei

We study the existence and computation of Nash equilibria in concave games where the players' admissible strategies are subject to shared coupling constraints. Under playerwise concavity of constraints, we prove existence of Nash…

计算机科学与博弈论 · 计算机科学 2026-02-09 Philip Jordan , Maryam Kamgarpour

We study the problem of computing an approximate Nash equilibrium of continuous-action game without access to gradients. Such game access is common in reinforcement learning settings, where the environment is typically treated as a black…

计算机科学与博弈论 · 计算机科学 2023-08-30 Carlos Martin , Tuomas Sandholm

The multi-cluster games are addressed in this paper, where all players team up with the players in the cluster that they belong to, and compete against the players in other clusters to minimize the cost function of their own cluster. The…

系统与控制 · 电气工程与系统科学 2023-06-19 Zhenhua Deng , Yan Zhao

We study natural strategic games on directed graphs, which capture the idea of coordination in the absence of globally common strategies. We show that these games do not need to have a pure Nash equilibrium and that the problem of…

计算机科学与博弈论 · 计算机科学 2016-06-27 Krzysztof R. Apt , Sunil Simon , Dominik Wojtczak

In multi-rate IEEE 802.11 WLANs, the traditional user association based on the strongest received signal and the well known anomaly of the MAC protocol can lead to overloaded Access Points (APs), and poor or heterogeneous performance. Our…

计算机科学与博弈论 · 计算机科学 2016-05-03 Mikael Touati , Rachid El-Azouzi , Marceau Coupechoux , Eitan Altmanand Jean-Marc Kelif

The distributed computation of Nash equilibria is assuming growing relevance in engineering where such problems emerge in the context of distributed control. Accordingly, we present schemes for computing equilibria of two classes of static…

最优化与控制 · 数学 2017-10-17 Hao Jiang , Uday V. Shanbhag , Sean P. Meyn

We propose a type of non-cooperative game, termed multi-cluster aggregative game, which is composed of clusters as players, where each cluster consists of collaborative agents with cost functions depending on their own decisions and the…

多智能体系统 · 计算机科学 2023-05-16 Yue Chen , Peng Yi

In multi-agent autonomous systems, deception is a fundamental concept which characterizes the exploitation of unbalanced information to mislead victims into choosing oblivious actions. This effectively alters the system's long term…

系统与控制 · 电气工程与系统科学 2025-08-27 Michael Tang , Miroslav Krstic , Jorge Poveda

We study the existence of approximate pure Nash equilibria ($\alpha$-PNE) in weighted atomic congestion games with polynomial cost functions of maximum degree $d$. Previously it was known that $d$-approximate equilibria always exist, while…

计算机科学与博弈论 · 计算机科学 2022-03-29 George Christodoulou , Martin Gairing , Yiannis Giannakopoulos , Diogo Poças , Clara Waldmann

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

Shared-constraint games are noncooperative $N$-player games where players are coupled through a common coupling constraint. It is known that such games admit two kinds of equilibria -- generalized Nash equilibria (GNE) and variational…

计算机科学与博弈论 · 计算机科学 2019-08-05 Ankur A. Kulkarni

In this paper, we study the decentralized parallel multiple access channel (MAC) when transmitters selfishly maximize their individual spectral efficiency by selecting a single channel to transmit. More specifically, we investigate the set…

计算机科学与博弈论 · 计算机科学 2011-12-09 Samir M. Perlaza , Samson Lasaulce , Mérouane Debbah

The distributed computation of equilibria and optima has seen growing interest in a broad collection of networked problems. We consider the computation of equilibria of convex stochastic Nash games characterized by a possibly nonconvex…

最优化与控制 · 数学 2019-08-05 Jinlong Lei , Uday V. Shanbhag