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Markov games provide a powerful framework for modeling strategic multi-agent interactions in dynamic environments. Traditionally, convergence properties of decentralized learning algorithms in these settings have been established only for…

多智能体系统 · 计算机科学 2025-06-13 Chinmay Maheshwari , Manxi Wu , Shankar Sastry

This work proposes a novel distributed approach for computing a Nash equilibrium in convex games with restricted strongly monotone pseudo-gradients. By leveraging the idea of the centralized operator extrapolation method presented in [4] to…

最优化与控制 · 数学 2023-10-25 Tatiana Tatarenko , Angelia Nedich

This paper considers a time-varying game with $N$ players. Every time slot, players observe their own random events and then take a control action. The events and control actions affect the individual utilities earned by each player. The…

计算机科学与博弈论 · 计算机科学 2014-02-04 Michael J. Neely

In this paper we explore the relationship between dual decomposition and the consensus-based method for distributed optimization. The relationship is developed by examining the similarities between the two approaches and their relationship…

系统与控制 · 计算机科学 2014-02-19 Greg Droge , Hiroaki Kawashima , Magnus Egerstedt

Motivated by the recent applications of game-theoretical learning techniques to the design of distributed control systems, we study a class of control problems that can be formulated as potential games with continuous action sets, and we…

最优化与控制 · 数学 2014-12-03 Steven Perkins , Panayotis Mertikopoulos , David S. Leslie

Autonomous agents should coordinate effectively without prior knowledge of others' intents. While prior work has focused on intent inference, we address the inverse problem: how agents can strategically demonstrate their intents within…

系统与控制 · 电气工程与系统科学 2025-11-11 Jingqi Li , Anand Siththaranjan , Somayeh Sojoudi , Claire Tomlin , Andrea Bajcsy

Game theory studies situations in which strategic players can modify the state of a given system, due to the absence of a central authority. Solution concepts, such as Nash equilibrium, are defined to predict the outcome of such situations.…

计算机科学与博弈论 · 计算机科学 2013-11-08 Diodato Ferraioli , Paul W. Goldberg , Carmine Ventre

This paper introduces a new method to achieve stable convergence to Nash equilibrium in duopoly noncooperative games. Inspired by the recent fixed-time Nash Equilibrium seeking (NES) as well as prescribed-time extremum seeking (ES) and…

最优化与控制 · 数学 2024-05-27 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstić , Tamer Başar

We study zero-sum games in the space of probability distributions over the Euclidean space $\mathbb{R}^d$ with entropy regularization, in the setting when the interaction function between the players is smooth and strongly convex-strongly…

计算机科学与博弈论 · 计算机科学 2025-07-01 Yang Cai , Siddharth Mitra , Xiuyuan Wang , Andre Wibisono

In this letter, we deal with evolutionary game theoretic learning processes for population games on networks with dynamically evolving communities. Specifically, we propose a novel mathematical framework in which a deterministic,…

社会与信息网络 · 计算机科学 2022-03-02 Alain Govaert , Lorenzo Zino , Emma Tegling

In practical applications, decision-makers with heterogeneous dynamics may be engaged in the same decision-making process. This motivates us to study distributed Nash equilibrium seeking for games in which players are mixed-order (first-…

最优化与控制 · 数学 2022-09-05 Maojiao Ye , Lei Ding , Jizhao Yin

This paper proposes a novel approach for locally stable convergence to Nash equilibrium in duopoly noncooperative games based on a distributed event-triggered control scheme. The proposed approach employs extremum seeking, with sinusoidal…

最优化与控制 · 数学 2024-04-12 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstić , Tamer Başar

We consider a dynamical approach to sequential games. By restricting the convertibility relation over strategy profiles, we obtain a semi-potential (in the sense of Kukushkin), and we show that in finite games the corresponding restriction…

计算机科学与博弈论 · 计算机科学 2016-09-15 Stéphane Le Roux , Arno Pauly

In this paper, an aggregate game approach is proposed for the modeling and analysis of energy consumption control in smart grid. Since the electricity user's cost function depends on the aggregate load, which is unknown to the end users, an…

经济学 · 定量金融 2017-03-22 Maojiao Ye , Guoqiang Hu

This paper proposes Asynchronous Triggered Gradient Tracking, i.e., a distributed optimization algorithm to solve consensus optimization over networks with asynchronous communication. As a building block, we devise the continuous-time…

最优化与控制 · 数学 2023-09-13 Guido Carnevale , Ivano Notarnicola , Lorenzo Marconi , Giuseppe Notarstefano

In this paper, we propose an asynchronous distributed algorithm for the computation of generalized Nash equilibria in noncooperative games, where the players interact via an undirected communication graph. Specifically, we extend the paper…

计算机科学与博弈论 · 计算机科学 2024-12-20 Carlo Cenedese , Giuseppe Belgioioso , Sergio Grammatico , Ming Cao

A new class of projected dynamical systems of third order is investigated for quasi (parametric) variational inequalities in which the convex set in the classical variational inequality also depends upon the solution explicitly or…

最优化与控制 · 数学 2025-01-10 Oday Hazaimah

In this paper, a multi-cluster game with high-order players is investigated. Different from the well-known multi-cluster games, the dynamics of players are taken into account in our problem. Due to the high-order dynamics of players,…

系统与控制 · 电气工程与系统科学 2021-06-28 Zhenhua Deng , Yangyang Liu

We consider a dynamical approach to game in extensive forms. By restricting the convertibility relation over strategy profiles, we obtain a semi-potential (in the sense of Kukushkin), and we show that in finite games the corresponding…

计算机科学与博弈论 · 计算机科学 2017-04-05 Stéphane Le Roux , Arno Pauly

In this paper, we develop a scaled gradient-momentum framework for continuous-time optimization that achieves global finite-time convergence. A state-dependent scaling mechanism is introduced to enable classical dynamics, such as…

最优化与控制 · 数学 2026-04-15 Yu Zhou , Mengmou Li , Masaaki Nagahara