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We propose locally convergent Nash equilibrium seeking algorithms for $N$-player noncooperative games, which use distributed event-triggered pseudo-gradient estimates. The proposed approach employs sinusoidal perturbations to estimate the…

Optimization and Control · Mathematics 2025-05-13 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstic , Tamer Basar

This paper considers information sharing in a multi-player repeated game. Every round, each player observes a subset of components of a random vector and then takes a control action. The utility earned by each player depends on the full…

Optimization and Control · Mathematics 2014-12-31 Michael J. Neely

This paper considers a class of strategic scenarios in which two networks of agents have opposing objectives with regards to the optimization of a common objective function. In the resulting zero-sum game, individual agents collaborate with…

Optimization and Control · Mathematics 2012-12-24 Bahman Gharesifard , Jorge Cortes

We propose a distributed algorithm for multiagent systems that aim to optimize a common objective when agents differ in their estimates of the objective-relevant state of the environment. Each agent keeps an estimate of the environment and…

Systems and Control · Electrical Eng. & Systems 2019-12-10 Sina Arefizadeh , Ceyhun Eksin

This paper introduces a consensus-based generalized multi-population aggregative game coordination approach with application to electric vehicles charging under transmission line constraints. The algorithm enables agents to seek an…

Systems and Control · Electrical Eng. & Systems 2023-10-19 Mahsa Ghavami , Babak Ghaffarzadeh Bakhshayesh , Mohammad Haeri , Giacomo Como , Hamed Kebriaei

We study in this paper privacy protection in fully distributed Nash equilibrium seeking where a player can only access its own cost function and receive information from its immediate neighbors over a directed communication network. In view…

Computer Science and Game Theory · Computer Science 2023-04-11 Yongqiang Wang , Tamer Basar

This paper investigates a resilient distributed Nash equilibrium (NE) seeking problem on a directed communication network subject to malicious cyber-attacks. The considered attacks, named as Denial-of-Service (DoS) attacks, are allowed to…

Systems and Control · Electrical Eng. & Systems 2020-09-23 Zhi Feng , Guoqiang Hu

Self-play methods based on regret minimization have become the state of the art for computing Nash equilibria in large two-players zero-sum extensive-form games. These methods fundamentally rely on the hierarchical structure of the players'…

Computer Science and Game Theory · Computer Science 2019-10-29 Gabriele Farina , Chun Kai Ling , Fei Fang , Tuomas Sandholm

This paper focuses on a time-varying Nash equilibrium trajectory tracking problem, that is applicable to a wide range of non-cooperative game applications arising in dynamic environments. To solve this problem, we propose a distributed…

Optimization and Control · Mathematics 2022-12-15 Ziqin Chen , Ji Ma , Peng Yi , Yiguang Hong

This paper addresses the challenge of solving the generalized Nash Equilibrium seeking problem for decentralized stochastic online multi-cluster games amidst Byzantine agents. During the game process, each honest agent is influenced by both…

Optimization and Control · Mathematics 2025-07-31 Bingqian Liu , Guanghui Wen , Liyuan Chen , Yiguang Hong

We investigate the distributed DC-Optimal Power Flow (DC-OPF) problem for a dynamic and uncertain environment. The unpredictable supply of renewable resources and varying prices of the electricity market are a few factors responsible for…

Optimization and Control · Mathematics 2023-08-10 Sushobhan Chatterjee , Rachel Kalpana Kalaimani

A fundamental open problem in monotone game theory is the computation of a specific generalized Nash equilibrium (GNE) among all the available ones, e.g. the optimal equilibrium with respect to a system-level objective. The existing GNE…

Systems and Control · Electrical Eng. & Systems 2022-03-16 Emilio Benenati , Wicak Ananduta , Sergio Grammatico

In this work, we consider a distributed online convex optimization problem, with time-varying (potentially adversarial) constraints. A set of nodes, jointly aim to minimize a global objective function, which is the sum of local convex…

Optimization and Control · Mathematics 2021-05-06 Pranay Sharma , Prashant Khanduri , Lixin Shen , Donald J. Bucci , Pramod K. Varshney

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

We study a class of distributionally robust games where agents are allowed to heterogeneously choose their risk aversion with respect to distributional shifts of the uncertainty. In our formulation, heterogeneous Wasserstein ball…

Optimization and Control · Mathematics 2025-12-08 Zifan Wang , Georgios Pantazis , Sergio Grammatico , Michael M. Zavlanos , Karl H. Johansson

Distributed strategic learning has been getting attention in recent years. As systems become distributed finding Nash equilibria in a distributed fashion is becoming more important for various applications. In this paper, we develop a…

Optimization and Control · Mathematics 2012-10-02 A. F. Hanif , H. Tembine , M. Assaad , D. Zeghlache

In this work, we study potential games and Markov potential games under stochastic cost and bandit feedback. We propose a variant of the Frank-Wolfe algorithm with sufficient exploration and recursive gradient estimation, which provably…

Computer Science and Game Theory · Computer Science 2024-04-11 Jing Dong , Baoxiang Wang , Yaoliang Yu

Nash equilibrium is perhaps the best-known solution concept in game theory. Such a solution assigns a strategy to each player which offers no incentive to unilaterally deviate. While a Nash equilibrium is guaranteed to always exist, the…

Computer Science and Game Theory · Computer Science 2025-04-29 David Sychrovský , Christopher Solinas , Revan MacQueen , Kevin Wang , James R. Wright , Nathan R. Sturtevant , Michael Bowling

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…

Optimization and Control · Mathematics 2024-04-12 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstić , Tamer Başar

We consider distributed online convex optimization problems, where the distributed system consists of various computing units connected through a time-varying communication graph. In each time step, each computing unit selects a constrained…

Machine Learning · Computer Science 2019-12-23 Deming Yuan , Alexandre Proutiere , Guodong Shi