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We study online optimization methods for zero-sum games, a fundamental problem in adversarial learning in machine learning, economics, and many other domains. Traditional methods approximate Nash equilibria (NE) using either regret-based…

Computer Science and Game Theory · Computer Science 2025-07-16 Taemin Kim , James P. Bailey

This paper investigates stochastic generalized dynamic games with coupling chance constraints, where agents have incomplete information about uncertainties satisfying a concentration of measure property. This problem, in general, is…

Systems and Control · Electrical Eng. & Systems 2026-02-06 Seyed Shahram Yadollahi , Hamed Kebriaei , Sadegh Soudjani

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…

Optimization and Control · Mathematics 2019-12-03 Dandan Yue , Ziyang Meng

In this paper, the generalized Nash equilibrium (GNE) seeking problem for continuous games with coupled affine inequality constraints is investigated in a partial-decision information scenario, where each player can only access its…

Computer Science and Game Theory · Computer Science 2022-07-29 Min Meng , Xiuxian Li

The dense deployment of small-cell base stations in HetSNets requires efficient resource allocation techniques. More precisely, the problem of associating users to SBSs must be revised and carefully studied. This problem is NP-hard and…

Computer Science and Game Theory · Computer Science 2015-08-04 Zoubeir Mlika , Elmahdi Driouch , Wessam Ajib , Halima Elbiaze

Security challenges accompany the efficiency. The pervasive integration of information and communications technologies (ICTs) makes cyber-physical systems vulnerable to targeted attacks that are deceptive, persistent, adaptive and…

Computer Science and Game Theory · Computer Science 2018-09-11 Linan Huang , Quanyan Zhu

Game theory finds nowadays a broad range of applications in engineering and machine learning. However, in a derivative-free, expensive black-box context, very few algorithmic solutions are available to find game equilibria. Here, we propose…

Machine Learning · Statistics 2018-02-28 Victor Picheny , Mickael Binois , Abderrahmane Habbal

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

Wide machine learning tasks can be formulated as non-convex multi-player games, where Nash equilibrium (NE) is an acceptable solution to all players, since no one can benefit from changing its strategy unilaterally. Attributed to the…

Computer Science and Game Theory · Computer Science 2023-01-20 Guanpu Chen , Gehui Xu , Fengxiang He , Yiguang Hong , Leszek Rutkowski , Dacheng Tao

This paper investigates how an autonomous agent can transmit information through its motion in an adversarial setting. We consider scenarios where an agent must reach its goal while deceiving an intelligent observer about its destination.…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Violetta Rostobaya , James Berneburg , Yue Guan , Michael Dorothy , Daigo Shishika

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…

Systems and Control · Electrical Eng. & Systems 2021-12-17 Zhenhua Deng , Jin Luo

We study a distributed approach for seeking a Nash equilibrium in $n$-cluster games with strictly monotone mappings. Each player within each cluster has access to the current value of her own smooth local cost function estimated by a…

Computer Science and Game Theory · Computer Science 2021-07-28 Tatiana Tatarenko , Jan Zimmermann , Jürgen Adamy

In current power distribution systems, one of the most challenging operation tasks is to coordinate the network- wide distributed energy resources (DERs) to maintain the stability of voltage magnitude of the system. This voltage control…

Systems and Control · Computer Science 2018-04-04 Kaiqing Zhang , Wei Shi , Hao Zhu , Tamer Başar

This paper deals with the complexity of the problem of computing a pure Nash equilibrium for discrete preference games and network coordination games beyond $O(\log n)$-treewidth and tree metric spaces. First, we estimate the number of…

Computer Science and Game Theory · Computer Science 2022-07-05 Takashi Ishizuka , Naoyuki Kamiyama

We introduce a new algorithm for the numerical computation of Nash equilibria of competitive two-player games. Our method is a natural generalization of gradient descent to the two-player setting where the update is given by the Nash…

Optimization and Control · Mathematics 2020-07-02 Florian Schäfer , Anima Anandkumar

With the proliferation of distributed generators and energy storage systems, traditional passive consumers in power systems have been gradually evolving into the so-called "prosumers", i.e., proactive consumers, which can both produce and…

Systems and Control · Electrical Eng. & Systems 2020-04-10 Zhaojian Wang , Feng Liu , Zhiyuan Ma , Yue Chen , Mengshuo Jia , Wei Wei , Qiuwei Wu

In this paper, we aim to design a distributed approximate algorithm for seeking Nash equilibria of an aggregative game. Due to the local set constraints of each player, projectionbased algorithms have been widely employed for solving such…

Optimization and Control · Mathematics 2021-08-30 Gehui Xu , Guanpu Chen , Hongsheng Qi , Yiguang Hong

This paper investigates online stochastic aggregative games subject to local set constraints and time-varying coupled inequality constraints, where each player possesses a time-varying expectation-valued cost function relying on not only…

Optimization and Control · Mathematics 2025-11-18 Kaixin Du , Min Meng

Network congestion games are a convenient model for reasoning about routing problems in a network: agents have to move from a source to a target vertex while avoiding congestion, measured as a cost depending on the number of players using…

Computer Science and Game Theory · Computer Science 2022-07-05 Aline Goeminne , Nicolas Markey , Ocan Sankur

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
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