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This paper explores distributed Nash equilibrium seeking problems for games in which the players have limited knowledge on other players' actions. In particular, the involved players are considered to be high-order integrators with their…

Optimization and Control · Mathematics 2021-08-17 Maojiao Ye , Lei Ding , Shengyuan Xu

In this contribution we present a decentralized power allocation algorithm for the uplink interleave division multiple access (IDMA) channel. Within the proposed optimal strategy for power allocation, each user aims at selfishly maximizing…

Information Theory · Computer Science 2016-11-15 Samir Medina Perlaza , Laura Cottatellucci , Merouane Debbah

This paper studies the problem of distributed beam scheduling for 5G millimeter-Wave (mm-Wave) cellular networks where base stations (BSs) belonging to different operators share the same spectrum without centralized coordination among them.…

Information Theory · Computer Science 2021-07-26 Xiang Zhang , Shamik Sarkar , Arupjyoti Bhuyan , Sneha Kumar Kasera , Mingyue Ji

This paper considers a game-theoretic framework for distributed machine learning problems over networks where the information acquisition at a node is modeled as a rational choice of a player. In the proposed game, players decide both the…

Computer Science and Game Theory · Computer Science 2022-10-28 Shutian Liu , Tao Li , Quanyan Zhu

We develop a constrained bimatrix game framework that can be used to model many practical problems in many disciplines, including jamming in packetized wireless networks. In contrast to the widely used zero-sum framework, in bimatrix games…

Information Theory · Computer Science 2024-10-30 Koorosh Firouzbakht , Guevara Noubir , Masoud Salehi

This paper addresses a class of network games played by dynamic agents using their outputs. Unlike most existing related works, the Nash equilibrium in this work is defined by functions of agent outputs instead of full agent states, which…

Optimization and Control · Mathematics 2023-04-27 Meichen Guo , Claudio De Persis

Computing an equilibrium in congestion games can be challenging when the number of players is large. Yet, it is a problem to be addressed in practice, for instance to forecast the state of the system and be able to control it. In this work,…

Computer Science and Game Theory · Computer Science 2018-10-04 Cheng Wan , Paulin Jacquot , Olivier Beaude , Nadia Oudjane

Decentralised optimisation tasks are important components of multi-agent systems. These tasks can be interpreted as n-player potential games: therefore game-theoretic learning algorithms can be used to solve decentralised optimisation…

Multiagent Systems · Computer Science 2013-01-16 Michalis Smyrnakis

We consider an attacker-operator game for monitoring a large-scale network that is comprised on components that differ in their criticality levels. In this zero-sum game, the operator seeks to position a limited number of sensors to monitor…

Computer Science and Game Theory · Computer Science 2019-03-19 Jezdimir Milosevic , Mathieu Dahan , Saurabh Amin , Henrik Sandberg

Nash equilibrium is a solution concept in non-strictly competitive, non-cooperative game theory that finds applications in various scientific and engineering disciplines. A non-strictly competitive, non-cooperative game model is presented…

Quantum Physics · Physics 2015-02-05 Faisal Shah Khan

This paper provides a tutorial overview of game theoretic techniques used for communication over frequency selective interference channels. We discuss both competitive and cooperative techniques. Keywords: Game theory, competitive games,…

Information Theory · Computer Science 2010-08-10 Amir Leshem , Ephi Zehavi

Distributed optimization and Nash equilibrium (NE) seeking problems have drawn much attention in the control community recently. This paper studies a class of non-cooperative games, known as N-cluster game, which subsumes both cooperative…

Optimization and Control · Mathematics 2023-03-01 Yipeng Pang , Guoqiang Hu

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…

Optimization and Control · Mathematics 2017-10-17 Hao Jiang , Uday V. Shanbhag , Sean P. Meyn

For multi-user transmissions over MIMO interference channels, each user designs the transmit covariance matrix to maximize its information rate. When passive radio-frequency (RF) energy harvesters are present in the network, the…

Information Theory · Computer Science 2017-04-14 Liang Dong

We analyze the stability of a nonlinear dynamical model describing the noncooperative strategic interactions among the agents of a finite collection of populations. Each agent selects one strategy at a time and revises it repeatedly…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Murat Arcak , Nuno C. Martins

We present a fully-distributed algorithm for Nash equilibrium seeking in aggregative games over networks. The proposed scheme endows each agent with a gradient-based scheme equipped with a tracking mechanism to locally reconstruct the…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Guido Carnevale , Filippo Fabiani , Filiberto Fele , Kostas Margellos , Giuseppe Notarstefano

Several notions of game enjoy a Nash-like notion of equilibrium without guarantee of existence. There are different ways of weakening a definition of Nash-like equilibrium in order to guarantee the existence of a weakened equilibrium.…

Computer Science and Game Theory · Computer Science 2007-12-11 Stéphane Le Roux

This paper aims to design a distributed coordination algorithm for solving a multi-agent decision problem with a hierarchical structure. The primary goal is to search the Nash equilibrium of a noncooperative game such that each player has…

Optimization and Control · Mathematics 2022-05-17 Xiaoyu Ma , Jinlong Lei , Peng Yi , Jie Chen

This paper considers a distributed gossip approach for finding a Nash equilibrium in networked games on graphs. In such games a player's cost function may be affected by the actions of any subset of players. An interference graph is…

Computer Science and Game Theory · Computer Science 2020-04-10 Farzad Salehisadaghiani , Lacra Pavel

In a noncooperative dynamic game, multiple agents operating in a changing environment aim to optimize their utilities over an infinite time horizon. Time-varying environments allow to model more realistic scenarios (e.g., mobile devices…

Systems and Control · Computer Science 2015-12-29 Santiago Zazo , Sergio Valcarcel Macua , Matilde Sánchez-Fernández , Javier Zazo
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