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In this paper, we propose a novel social network aware approach for user association in wireless small cell networks. The proposed approach exploits social relationships between user equipments (UEs) and their physical proximity to optimize…

Networking and Internet Architecture · Computer Science 2016-05-02 Muhammad Ikram Ashraf , Mehdi Bennis , Walid Saad , Marcos Katz

Save for some special cases, current training methods for Generative Adversarial Networks (GANs) are at best guaranteed to converge to a `local Nash equilibrium` (LNE). Such LNEs, however, can be arbitrarily far from an actual Nash…

Machine Learning · Computer Science 2019-11-19 Frans A. Oliehoek , Rahul Savani , Jose Gallego , Elise van der Pol , Roderich Groß

In this paper, we enable the coexistence of multiple wireless body area networks (BANs) using a finite repeated non-cooperative game for transmit power control. With no coordination amongst these personal sensor networks, the proposed game…

Networking and Internet Architecture · Computer Science 2015-04-30 Jie Dong , David Smith , Leif Hanlen

Radio resource management in modern cellular networks often calls for the optimization of complex utility functions that are potentially conflicting between different base stations (BSs). Coordinating the resource allocation strategies…

Signal Processing · Electrical Eng. & Systems 2025-12-02 Yunchuan Zhang , Jiechen Chen , Junshuo Liu , Robert C. Qiu

Massive MIMO and small cell are both recognized as the key technologies for the future 5G wireless systems. In this paper, we investigate the problem of user association in a heterogeneous network (HetNet) with massive MIMO and small cells,…

Information Theory · Computer Science 2016-01-18 Yi Xu , Shiwen Mao

Worst-case hardness results for most equilibrium computation problems have raised the need for beyond-worst-case analysis. To this end, we study the smoothed complexity of finding pure Nash equilibria in Network Coordination Games, a…

Computational Complexity · Computer Science 2019-02-27 Shant Boodaghians , Rucha Kulkarni , Ruta Mehta

In this paper we consider the problem of distributed Nash equilibrium (NE) seeking over networks, a setting in which players have limited local information. We start from a continuous-time gradient-play dynamics that converges to an NE…

Optimization and Control · Mathematics 2024-10-30 Dian Gadjov , Lacra Pavel

In \emph{bandwidth allocation games} (BAGs), the strategy of a player consists of various demands on different resources. The player's utility is at most the sum of these demands, provided they are fully satisfied. Every resource has a…

Computer Science and Game Theory · Computer Science 2018-07-10 Maximilian Drees , Matthias Feldotto , Sören Riechers , Alexander Skopalik

Distributed Nash equilibrium (NE) seeking problem for multi-coalition games has attracted increasing attention in recent years, but the research mainly focuses on the case without agreement demand within coalitions. This paper considers a…

Optimization and Control · Mathematics 2021-12-10 Jialing Zhou , Yuezu Lv , Guanghui Wen , Jinhu Lv , Dezhi Zheng

The computational characterization of game-theoretic solution concepts is a central topic in artificial intelligence, with the aim of developing computationally efficient tools for finding optimal ways to behave in strategic interactions.…

Computer Science and Game Theory · Computer Science 2013-04-05 Nicola Gatti , Marco Rocco , Tuomas Sandholm

In heterogeneous networks (HetNets), how to improve spectrum efficiency is a crucial issue. Meanwhile increased energy consumption inspires network operators to deploy renewable energy sources as assistance to traditional electricity. Based…

Networking and Internet Architecture · Computer Science 2020-06-16 Qiaoni Han , Bo Yang , Nan Song , Yuwei Li , Ping Wei

We consider a wireless channel shared by multiple transmitter-receiver pairs. Their transmissions interfere with each other. Each transmitter-receiver pair aims to maximize its long-term average transmission rate subject to an average power…

Information Theory · Computer Science 2014-09-29 Krishna Chaitanya A , Utpal Mukherji , Vinod Sharma

We consider energy-efficient wireless resource management in cellular networks where BSs are equipped with energy harvesting devices, using statistical information for traffic intensity and harvested energy. The problem is formulated as…

Information Theory · Computer Science 2016-11-15 Jie Gong , John S. Thompson , Sheng Zhou , Zhisheng Niu

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…

Optimization and Control · Mathematics 2019-08-05 Jinlong Lei , Uday V. Shanbhag

We study the open question of how players learn to play a social optimum pure-strategy Nash equilibrium (PSNE) through repeated interactions in general-sum coordination games. A social optimum of a game is the stable Pareto-optimal state…

Computer Science and Game Theory · Computer Science 2023-07-26 Duong Nguyen , Langford White , Hung Nguyen

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…

Optimization and Control · Mathematics 2025-02-26 Zhaocong Liu , Jie Huang

In this paper, energy efficient power control for small cells underlaying a macro cellular network is investigated. We formulate the power control problem in self-organizing small cell networks as a non-cooperative game, and propose a…

Computer Science and Game Theory · Computer Science 2017-03-23 Yanxiang Jiang , Ningning Lu , Yan Chen , Mehdi Bennis , Fuchun Zheng , Xiqi Gao , Xiaohu You

Noncooperative game-theoretic tools have been increasingly used to study many important resource allocation problems in communications, networking, smart grids, and portfolio optimization. In this paper, we consider a general class of…

Computer Science and Game Theory · Computer Science 2016-11-17 Gesualdo Scutari , Francisco Facchinei , Jong-Shi Pang , Daniel P. Palomar

Nash Equilibrium and its robust counterpart, Distributionally Robust Nash Equilibrium (DRNE), are fundamental problems in game theory with applications in economics, engineering, and machine learning. This paper addresses the problem of…

Optimization and Control · Mathematics 2025-10-21 Zeinab Alizadeh , Azadeh Farsi , Afrooz Jalilzadeh

Nash equilibria are crucial for understanding game behavior and systems in economics, physics, biology, and computer science. A significant application arises from the connection between Nash equilibria and optimization problems . However,…

Quantum Physics · Physics 2025-11-14 Giovanni Ferrannini , Dario di Gregorio , Federico Fissore