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The multi-cluster games are addressed in this paper, where all players team up with the players in the cluster that they belong to, and compete against the players in other clusters to minimize the cost function of their own cluster. The…

Systems and Control · Electrical Eng. & Systems 2023-06-19 Zhenhua Deng , Yan Zhao

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 this paper, we investigate a distributed Nash equilibrium computation problem for a time-varying multi-agent network consisting of two subnetworks, where the two subnetworks share the same objective function. We first propose a…

Systems and Control · Computer Science 2015-11-30 Youcheng Lou , Yiguang Hong , Lihua Xie , Guodong Shi , Karl Henrik Johansson

In this paper, we consider the problem of finding a Nash equilibrium in a multi-player game over generally connected networks. This model differs from a conventional setting in that players have partial information on the actions of their…

Optimization and Control · Mathematics 2019-12-10 Farzad Salehisadaghiani , Wei Shi , Lacra Pavel

This paper presents a game theoretic solution for joint channel allocation and power control in cognitive radio networks analyzed under the physical interference model. The objective is to find a distributed solution that maximizes the…

Networking and Internet Architecture · Computer Science 2025-01-29 J. R. Gallego , M. Canales , J. Ortin

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,…

Systems and Control · Electrical Eng. & Systems 2021-06-28 Zhenhua Deng , Yangyang Liu

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

In this paper, we consider a continuous-type Bayesian Nash equilibrium (BNE) seeking problem in subnetwork zero-sum games, which is a generalization of deterministic subnetwork zero-sum games and discrete-type Bayesian zero-sum games. In…

Optimization and Control · Mathematics 2023-09-15 Hanzheng Zhang , Guanpu Chen , Yiguang Hong

This paper explores aggregative games in a network of general linear systems subject to external disturbances. To deal with external disturbances, distributed strategy-updating rules based on internal model are proposed for the case with…

Optimization and Control · Mathematics 2024-10-28 Xin Cai , Feng Xiao , Bo Wei , Mei Yu , Fang Fang

We present a new model of incomplete information games without private information in which the players use a distributionally robust optimization approach to cope with the payoff uncertainty. With some specific restrictions, we show that…

Computer Science and Game Theory · Computer Science 2016-10-04 Nicolas Loizou

Deception is a technique to mislead human or computer systems by manipulating beliefs and information. Successful deception is characterized by the information-asymmetric, dynamic, and strategic behaviors of the deceiver and the deceivee.…

Cryptography and Security · Computer Science 2018-10-02 Tao Zhang , Quanyan zhu

New methods that exploit sparse structures arising in smart grid networks are proposed for the state estimation problem when data injection attacks are present. First, construction strategies for unobservable sparse data injection attacks…

Information Theory · Computer Science 2015-02-17 Mete Ozay , Inaki Esnaola , Fatos T. Yarman Vural , Sanjeev R. Kulkarni , H. Vincent Poor

We study data corruption robustness in offline two-player zero-sum Markov games. Given a dataset of realized trajectories of two players, an adversary is allowed to modify an $\epsilon$-fraction of it. The learner's goal is to identify an…

Computer Science and Game Theory · Computer Science 2024-03-14 Andi Nika , Debmalya Mandal , Adish Singla , Goran Radanović

This work proposes an algorithm for seeking generalised feedback Nash equilibria (GFNE) in noncooperative dynamic games. The focus is on cyber-physical systems with dynamics which are linear, stochastic, potentially unstable, and partially…

Optimization and Control · Mathematics 2025-04-01 Otacilio B. L. Neto , Michela Mulas , Francesco Corona

This paper presents a new distributed algorithm that leverages heavy-ball momentum and a consensus-based gradient method to find a Nash equilibrium (NE) in a class of non-cooperative convex games with unconstrained action sets. In this…

Computer Science and Game Theory · Computer Science 2023-06-06 Duong Thuy Anh Nguyen , Duong Tung Nguyen , Angelia Nedich

This paper makes progress towards learning Nash equilibria in two-player zero-sum Markov games from offline data. Specifically, consider a $\gamma$-discounted infinite-horizon Markov game with $S$ states, where the max-player has $A$…

Machine Learning · Computer Science 2025-03-18 Yuling Yan , Gen Li , Yuxin Chen , Jianqing Fan

In the classical communication setting multiple senders having access to the same source of information and transmitting it over channel(s) to a receiver in general leads to a decrease in estimation error at the receiver as compared with…

Computer Science and Game Theory · Computer Science 2023-06-27 Raj Kiriti Velicheti , Melih Bastopcu , Tamer Başar

We consider a Gaussian interference channel with independent direct and cross link channel gains, each of which is independent and identically distributed across time. Each transmitter-receiver user pair aims to maximize its long-term…

Information Theory · Computer Science 2016-02-01 Krishna Chaitanya A , Utpal Mukherji , Vinod Sharma

Distributed Nash equilibrium seeking for games in uncertain networked systems without a prior knowledge about control directions is explored in this paper. More specifically, the dynamics of the players are supposed to be first-order or…

Optimization and Control · Mathematics 2020-09-29 Maojiao Ye , Shengyuan Xu , Jizhao Yin

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