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The capacity region of a channel consists of all achievable rate vectors. Picking a particular point in the capacity region is synonymous with rate allocation. The issue of fairness in rate allocation is addressed in this paper. We review…

Information Theory · Computer Science 2007-07-13 Kenneth W. Shum , Chi Wan Sung

This paper considers the noncooperative maximization of mutual information in the Gaussian interference channel in a fully distributed fashion via game theory. This problem has been studied in a number of papers during the past decade for…

Information Theory · Computer Science 2016-11-17 Gesualdo Scutari , Daniel P. Palomar , Sergio Barbarossa

Non-cooperative and cooperative games with a very large number of players have many applications but remain generally intractable when the number of players increases. Introduced by Lasry and Lions, and Huang, Caines and Malham\'e, Mean…

The max-min fair (MMF) multicasting problem is known to be NP-hard. In this work, we analytically derive the optimal solution to this NP-hard problem and establish the equivalence between rate balancing and the optimal MMF multicasting…

Signal Processing · Electrical Eng. & Systems 2026-02-02 Sadaf Syed , Wolfgang Utschick , Michael Joham

This paper presents a general mean-field game (GMFG) framework for simultaneous learning and decision-making in stochastic games with a large population. It first establishes the existence of a unique Nash Equilibrium to this GMFG, and…

Optimization and Control · Mathematics 2021-10-12 Xin Guo , Anran Hu , Renyuan Xu , Junzi Zhang

We examine two-player games over finite weighted graphs with quantitative (mean-payoff or energy) objective, where one of the players additionally needs to satisfy a fairness objective. The specific fairness we consider is called 'strong…

Computer Science and Game Theory · Computer Science 2025-01-30 Ashwani Anand , Satya Prakash Nayak , Ritam Raha , Irmak Sağlam , Anne-Kathrin Schmuck

Mean-field games (MFGs) have shown strong modeling capabilities for large systems in various fields, driving growth in computational methods for mean-field game problems. However, high order methods have not been thoroughly investigated. In…

Numerical Analysis · Mathematics 2023-08-16 Guosheng Fu , Siting Liu , Stanley Osher , Wuchen Li

With the increasingly broad deployment of federated learning (FL) systems in the real world, it is critical but challenging to ensure fairness in FL, i.e. reasonably satisfactory performances for each of the numerous diverse clients. In…

Machine Learning · Computer Science 2023-05-10 Guojun Zhang , Saber Malekmohammadi , Xi Chen , Yaoliang Yu

We consider a dynamic traffic routing game over an urban road network involving a large number of drivers in which each driver selecting a particular route is subject to a penalty that is affine in the logarithm of the number of drivers…

Optimization and Control · Mathematics 2020-01-22 Takashi Tanaka , Ehsan Nekouei , Ali Reza Pedram , Karl Henrik Johansson

We study the problem of allocating indivisible resources under the connectivity constraints of a graph $G$. This model, initially introduced by Bouveret et al. (published in IJCAI, 2017), effectively encompasses a diverse array of scenarios…

Computer Science and Game Theory · Computer Science 2024-08-27 Halvard Hummel , Ayumi Igarashi

We consider the design of a fair sensor schedule for a number of sensors monitoring different linear time-invariant processes. The largest average remote estimation error among all processes is to be minimized. We first consider a general…

Systems and Control · Computer Science 2025-04-03 Shuang Wu , Xiaoqiang Ren , Yiguang Hong , Ling Shi

In WiFi networks, mobile nodes compete for accessing a shared channel by means of a random access protocol called Distributed Coordination Function (DCF). Although this protocol is in principle fair, since all the stations have the same…

Computer Science and Game Theory · Computer Science 2016-11-18 I. Tinnirello , L. Giarré , G. Neglia

Mean field games (MFG) and mean field control problems (MFC) are frameworks to study Nash equilibria or social optima in games with a continuum of agents. These problems can be used to approximate competitive or cooperative games with a…

Optimization and Control · Mathematics 2021-06-28 Andrea Angiuli , Jean-Pierre Fouque , Mathieu Lauriere

As mobile traffic is dominated by content services (e.g., video), which typically use recommendation systems, the paradigm of network-friendly recommendations (NFR) has been proposed recently to boost the network performance by promoting…

Networking and Internet Architecture · Computer Science 2021-07-23 Theodoros Giannakas , Pavlos Sermpezis , Anastasios Giovanidis , Thrasyvoulos Spyropoulos , George Arvanitakis

We study competitive resource allocation problems in which players distribute their demands integrally on a set of resources subject to player-specific submodular capacity constraints. Each player has to pay for each unit of demand a cost…

Computer Science and Game Theory · Computer Science 2014-07-30 Tobias Harks , Max Klimm , Britta Peis

We study the allocation of shared resources over multiple rounds among competing agents, via the dynamic max-min fair (DMMF) mechanism: the good in each round is allocated to the requesting agent with the least number of allocations…

Computer Science and Game Theory · Computer Science 2025-06-13 Giannis Fikioris , Siddhartha Banerjee , Éva Tardos

Fair resource allocation is a fundamental optimization problem with applications in operations research, networking, and economic and game theory. Research in these areas has led to the general acceptance of a class of $\alpha$-fair utility…

Data Structures and Algorithms · Computer Science 2020-11-17 Jelena Diakonikolas , Maryam Fazel , Lorenzo Orecchia

We present a method enabling a large number of agents to learn how to flock, which is a natural behavior observed in large populations of animals. This problem has drawn a lot of interest but requires many structural assumptions and is…

Multiagent Systems · Computer Science 2021-05-18 Sarah Perrin , Mathieu Laurière , Julien Pérolat , Matthieu Geist , Romuald Élie , Olivier Pietquin

We consider the general problem of resource sharing in societal networks, consisting of interconnected communication, transportation, energy and other networks important to the functioning of society. Participants in such network need to…

Computer Science and Game Theory · Computer Science 2018-03-28 Jian Li , Bainan Xia , Xinbo Geng , Hao Ming , Srinivas Shakkottai , Vijay Subramanian , Le Xie

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