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We study a fair division problem with indivisible items, namely the computation of maximin share allocations. Given a set of $n$ players, the maximin share of a single player is the best she can guarantee to herself, if she would partition…

计算机科学与博弈论 · 计算机科学 2016-05-16 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis

Network congestion games are a convenient model for reasoning about routing problems in a network: agents have to move from a source to a target vertex while avoiding congestion, measured as a cost depending on the number of players using…

计算机科学与博弈论 · 计算机科学 2022-07-05 Aline Goeminne , Nicolas Markey , Ocan Sankur

The mean field games (MFG) paradigm was introduced to provide tractable approximations of games involving very large populations. The theory typically rests on two key assumptions: homogeneity, meaning that all players share the same…

最优化与控制 · 数学 2025-11-10 Mathieu Laurière

Finite-state mean-field games (MFGs) arise as limits of large interacting particle systems and are governed by an MFG system, a coupled forward-backward differential equation consisting of a forward Kolmogorov-Fokker-Planck (KFP) equation…

最优化与控制 · 数学 2026-02-16 William Hofgard , Asaf Cohen , Mathieu Laurière

In this paper we consider an extension to the classical definition of congestion games (CG) in which multiple users share the same set of resources and their payoff for using any resource is a function of the total number of users sharing…

计算机科学与博弈论 · 计算机科学 2009-10-23 Sahand Haji Ali Ahmad , Mingyan Liu , Yunnan Wu

Internet providers often offer data plans that, for each user's monthly billing cycle, guarantee a fixed amount of data at high rates until a byte threshold is reached, at which point the user's data rate is throttled to a lower rate for…

计算机科学与博弈论 · 计算机科学 2022-04-28 Niloofar Bayat , Vishal Misra , Dan Rubenstein

One of the important yet insufficiently studied subjects in fair allocation is the externality effect among agents. For a resource allocation problem, externalities imply that a bundle allocated to an agent may affect the utilities of other…

计算机科学与博弈论 · 计算机科学 2018-05-17 Mohammad Ghodsi , Hamed Saleh , Masoud Seddighin

One of the natural objectives of the field of the social networks is to predict agents' behaviour. To better understand the spread of various products through a social network arXiv:1105.2434 introduced a threshold model, in which the nodes…

计算机科学与博弈论 · 计算机科学 2013-04-09 Sunil Simon , Krzysztof R. Apt

This paper studies the existence of pure Nash equilibria in resource graph games, which are a general class of strategic games used to succinctly represent the players' private costs. There is a finite set of resources and the strategy set…

计算机科学与博弈论 · 计算机科学 2020-07-20 Tobias Harks , Max Klimm , Jannik Matuschke

The designs of many large-scale systems today, from traffic routing environments to smart grids, rely on game-theoretic equilibrium concepts. However, as the size of an $N$-player game typically grows exponentially with $N$, standard game…

We study distributed algorithms for seeking a Nash equilibrium in a class of non-cooperative convex games with strongly monotone mappings. Each player has access to her own smooth local cost function and can communicate to her neighbors in…

最优化与控制 · 数学 2018-10-24 Tatiana Tatarenko , Wei Shi , Angelia Nedich

When users access shared resources in a selfish manner, the resulting societal cost and perceived users' cost is often higher than what would result from a centrally coordinated optimal allocation. While several contributions in mechanism…

计算机科学与博弈论 · 计算机科学 2024-03-08 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

Fair division is a fundamental problem in various multi-agent settings, where the goal is to divide a set of resources among agents in a fair manner. We study the case where m indivisible items need to be divided among n agents with…

计算机科学与博弈论 · 计算机科学 2021-04-07 Jugal Garg , Setareh Taki

We consider a large queueing system that consists of many strategic servers that are weakly interacting. Each server processes jobs from its unique critically loaded buffer and controls the rate of arrivals and departures associated with…

概率论 · 数学 2017-09-19 Erhan Bayraktar , Amarjit Budhiraja , Asaf Cohen

We consider the problem of distributed channel allocation in large networks under the frequency-selective interference channel. Performance is measured by the weighted sum of achievable rates. Our proposed algorithm is a modified Fictitious…

信息论 · 计算机科学 2018-11-13 Ilai Bistritz , Amir Leshem

The performance of cluster computing depends on how concurrent jobs share multiple data center resource types like CPU, RAM and disk storage. Recent research has discussed efficiency and fairness requirements and identified a number of…

性能 · 计算机科学 2014-04-10 Thomas Bonald , James Roberts

Optimal transport is a framework that facilitates the most efficient allocation of a limited amount of resources. However, the most efficient allocation scheme does not necessarily preserve the most fairness. In this paper, we establish a…

最优化与控制 · 数学 2021-04-01 Jason Hughes , Juntao Chen

We consider wireless networks that can be modeled by multiple access channels in which all the terminals are equipped with multiple antennas. The propagation model used to account for the effects of transmit and receive antenna correlations…

信息论 · 计算机科学 2010-11-24 E. V. Belmega , S. Lasaulce , M. Debbah , M. Jungers , J. Dumont

The max-min fairness (MMF) problem in rate-splitting multiple access (RSMA) is known to be challenging due to its non-convex and non-smooth nature, as well as the coupled beamforming and common rate variables. Conventional algorithms to…

信息论 · 计算机科学 2025-07-21 Facheng Luo , Yijie Mao

We formulate the resource allocation problem for the uplink of code division multiple access (CDMA) networks using a game theoretic framework, propose an efficient and distributed algorithm for a joint rate and power allocation, and show…

计算机科学与博弈论 · 计算机科学 2011-06-28 Mohammad R. Javan , Ahmad R. Sharafat