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We study the global convergence of policy optimization for finding the Nash equilibria (NE) in zero-sum linear quadratic (LQ) games. To this end, we first investigate the landscape of LQ games, viewing it as a nonconvex-nonconcave…

机器学习 · 计算机科学 2021-02-12 Kaiqing Zhang , Zhuoran Yang , Tamer Başar

We consider a cellular system with multiple Femtocells operating in a Macrocell. They are sharing a set of communication channels. Each Femtocell has multiple users requiring certain minimum rate guarantees. Each channel has a peak power…

计算机科学与博弈论 · 计算机科学 2017-03-23 V. Udaya Sankar , Vinod Sharma

In this paper, we study a large population game with heterogeneous dynamics and cost functions solving a consensus problem. Moreover, the agents have communication constraints which appear as: (1) an Additive-White Gaussian Noise (AWGN)…

系统与控制 · 电气工程与系统科学 2022-08-26 Shubham Aggarwal , Muhammad Aneeq uz Zaman , Tamer Başar

This paper studies social optima and Nash games for mean field linear quadratic control systems, where subsystems are coupled via dynamics and individual costs. For the social control problem, we first obtain a set of forward-backward…

最优化与控制 · 数学 2019-04-17 Bingchang Wang , Huanshui Zhang

This paper considers a distributed Nash equilibrium seeking problem, where the players only have partial access to other players' actions, such as their neighbors' actions. Thus, the players are supposed to communicate with each other to…

最优化与控制 · 数学 2020-03-31 Yipeng Pang , Guoqiang Hu

Adiabatic quantum computing is implemented on specialized hardware using the heuristics of the quantum annealing algorithm. This setup requires the addressed problems to be formatted as discrete quadratic functions without constraints and…

计算机科学与博弈论 · 计算机科学 2024-01-23 Olga Okrut , Keith Cannon , Kareem H. El-Safty , Nada Elsokkary , Faisal Shah Khan

There has been significant recent progress in algorithms for approximation of Nash equilibrium in large two-player zero-sum imperfect-information games and exact computation of Nash equilibrium in multiplayer strategic-form games. While…

计算机科学与博弈论 · 计算机科学 2025-10-01 Sam Ganzfried

In this contribution, the performance of a multi-user system is analyzed in the context of frequency selective fading channels. Using game theoretic tools, a useful framework is provided in order to determine the optimal power allocation…

信息论 · 计算机科学 2016-11-18 Nicolas Bonneau , Mérouane Debbah , Eitan Altman , Are Hjørungnes

We consider the decentralized power allocation and spectrum sharing problem in multi-user, multi-channel systems with strategic users. We present a mechanism/game form that has the following desirable features. (1) It is individually…

最优化与控制 · 数学 2012-02-10 Ali Kakhbod , Demosthenis Teneketzis

We prove that output-feedback linear policies remain optimal for solving the Linear Quadratic Gaussian regulation problem in the face of worst-case process and measurement noise distributions when these are independent, stationary, and…

最优化与控制 · 数学 2025-04-23 Nicolas Lanzetti , Antonio Terpin , Florian Dörfler

Multiplayer games with selfish agents naturally occur in the design of distributed and embedded systems. As the goals of selfish agents are usually neither equivalent nor antagonistic to each other, such games are non zero-sum games. We…

计算机科学与博弈论 · 计算机科学 2012-12-19 Thomas Brihaye , Julie De Pril , Sven Schewe

In this paper, we investigate the noncooperative games of multi-agent systems. Different from existing noncooperative games, our formulation involves the high-order nonlinear dynamics of players, and the communication topologies among…

系统与控制 · 电气工程与系统科学 2021-12-17 Zhenhua Deng , Jin Luo

This paper investigates the distributed Nash equilibrium seeking problem for two-network zero-sum games with set constraints, where the two networks have the opposite nonsmooth cost functions. The interaction of the agents in each network…

最优化与控制 · 数学 2019-12-03 Dandan Yue , Ziyang Meng

Establishing the existence of Nash equilibria for partially observed stochastic dynamic games is known to be quite challenging, with the difficulties stemming from the noisy nature of the measurements available to individual players…

系统与控制 · 计算机科学 2018-06-06 Naci Saldi , Tamer Basar , Maxim Raginsky

We consider multi-agent decision making where each agent's cost function depends on all agents' strategies. We propose a distributed algorithm to learn a Nash equilibrium, whereby each agent uses only obtained values of her cost function at…

多智能体系统 · 计算机科学 2019-04-04 Tatiana Tatarenko , Maryam Kamgarpour

In this paper, we propose a novel class of Nash problems for Cognitive Radio (CR) networks, modeled as Gaussian frequency-selective interference channels, wherein each secondary user (SU) competes against the others to maximize his own…

信息论 · 计算机科学 2013-01-01 Gesualdo Scutari , Jong-Shi Pang

Existing settings of decentralized learning either require players to have full information or the system to have certain special structure that may be hard to check and hinder their applicability to practical systems. To overcome this, we…

系统与控制 · 电气工程与系统科学 2023-05-17 Yan Jiang , Wenqi Cui , Baosen Zhang , Jorge Cortés

We address the generalized Nash equilibrium seeking problem in a partial-decision information scenario, where each agent can only exchange information with some neighbors, although its cost function possibly depends on the strategies of all…

最优化与控制 · 数学 2021-12-14 Mattia Bianchi , Giuseppe Belgioioso , Sergio Grammatico

We explore the use of policy approximations to reduce the computational cost of learning Nash equilibria in zero-sum stochastic games. We propose a new Q-learning type algorithm that uses a sequence of entropy-regularized soft policies to…

机器学习 · 计算机科学 2021-06-29 Yue Guan , Qifan Zhang , Panagiotis Tsiotras

We consider a class of Wasserstein distributionally robust Nash equilibrium problems, where agents construct heterogeneous data-driven Wasserstein ambiguity sets using private samples and radii, in line with their individual risk-averse…

最优化与控制 · 数学 2025-07-18 Georgios Pantazis , Reza Rahimi Baghbadorani , Sergio Grammatico