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We use techniques from the statistical mechanics of disordered systems to analyse the properties of Nash equilibria of bimatrix games with large random payoff matrices. By means of an annealed bound, we calculate their number and analyse…

Disordered Systems and Neural Networks · Physics 2009-10-31 Johannes Berg , Martin Weigt

We propose average unfairness as a new measure of fairness in routing games, defined as the ratio between the average latency and the minimum latency experienced by users. This measure is a natural complement to two existing unfairness…

Multiagent Systems · Computer Science 2026-01-23 Pan-Yang Su , Arwa Alanqary , Bryce L. Ferguson , Manxi Wu , Alexandre M. Bayen , Shankar Sastry

We introduce a framework for studying the effect of cooperation on the quality of outcomes in utility games. Our framework is a coalitional analog of the smoothness framework of non-cooperative games. Coalitional smoothness implies bounds…

Computer Science and Game Theory · Computer Science 2013-07-10 Yoram Bachrach , Vasilis Syrgkanis , Eva Tardos , Milan Vojnovic

This paper addresses the problem of fair equilibrium selection in graphical games. Our approach is based on the data structure called the {\em best response policy}, which was proposed by Kearns et al. \cite{kls} as a way to represent all…

Computer Science and Game Theory · Computer Science 2007-05-23 Edith Elkind , Leslie Ann Goldberg , Paul W. Goldberg

Internet and graphs are very much related. The graphical structure of internet has been studied extensively to provide efficient solutions to routing and other problems. But most of these studies assume a central authority which controls…

Computer Science and Game Theory · Computer Science 2009-10-13 Abhimanu Kumar , Sanjib Kumar Das

In this paper the problem of optimal derivative design, profit maximization and risk minimization under adverse selection when multiple agencies compete for the business of a continuum of heterogenous agents is studied. The presence of ties…

Trading and Market Microstructure · Quantitative Finance 2011-07-06 Ulrich Horst , Santiago Moreno-Bromberg

Modern random access mechanisms combine packet repetitions with multi-user detection mechanisms at the receiver to maximize the throughput and reliability in massive Internet of Things (IoT) scenarios. However, optimizing the access policy,…

We consider a class of nonsmooth aggregative games over networks in stochastic regimes, where each player is characterized by a composite cost function $f_i+r_i$, $f_i$ is a smooth expectation-valued function dependent on its own strategy…

Optimization and Control · Mathematics 2024-06-28 Jinlong Lei , Uday V. Shanbhag , Jie Chen

Motivated by the increasing attention to overall social benefits in networked multi-agent systems, this paper investigates an optimization problem building on noncooperative games under high-level regulation, which can be formulated in a…

Optimization and Control · Mathematics 2025-12-02 Kaixin Du , Min Meng , Xiaoming Hu

A game-theoretic model is proposed to study the cross-layer problem of joint power and rate control with quality of service (QoS) constraints in multiple-access networks. In the proposed game, each user seeks to choose its transmit power…

Information Theory · Computer Science 2016-11-17 Farhad Meshkati , H. Vincent Poor , Stuart C. Schwartz , Radu V. Balan

In this paper we study a model of weighted network formation. The bilateral interaction is modeled as a Tullock contest game with the possibility of a draw. We describe stable networks under different concepts of stability. We show that a…

Theoretical Economics · Economics 2020-05-20 Kenan Huremovic

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 study the structure and evolution of the Internet's Autonomous System (AS) interconnection topology as a game with heterogeneous players. In this network formation game, the utility of a player depends on the network structure, e.g., the…

Computer Science and Game Theory · Computer Science 2014-04-23 Eli. A. Meirom , Shie Mannor , Ariel Orda

In cooperative games with transferable utilities, the Shapley value is an extreme case of marginalism while the Equal Division rule is an extreme case of egalitarianism. The Shapley value does not assign anything to the non-productive…

Theoretical Economics · Economics 2022-01-25 D. Choudhury , S. Borkotokey , Rajnish Kumar , Sudipta Sarangi

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

Demand response has been a promising solution for accommodating renewable energy in power systems. In this study, we consider a demand response scheme within a distribution network facing an energy supply deficit. The utility company…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Xiupeng Chen , Jacquelien M. A. Scherpen , Nima Monshizadeh

There has been substantial progress on finding game-theoretic equilibria. Most of that work has focused on games with finite, discrete action spaces. However, many games involving space, time, money, and other fine-grained quantities have…

Computer Science and Game Theory · Computer Science 2025-10-28 Carlos Martin , Tuomas Sandholm

We propose the first loss function for approximate Nash equilibria of normal-form games that is amenable to unbiased Monte Carlo estimation. This construction allows us to deploy standard non-convex stochastic optimization techniques for…

Computer Science and Game Theory · Computer Science 2024-04-16 Ian Gemp , Luke Marris , Georgios Piliouras

The common sense suggests that networks are not random mazes of purposeless connections, but that these connections are organised so that networks can perform their functions well. One function common to many networks is targeted transport…

Physics and Society · Physics 2015-07-24 András Gulyás , József Bíró , Attila Kőrösi , Gábor Rétvári , Dmitri Krioukov

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
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