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We consider generalized Nash equilibrium problems (GNEPs) with linear coupling constraints affected by both local (i.e., agent-wise) and global (i.e., shared resources) disturbances taking values in polyhedral uncertainty sets. By making…

系统与控制 · 电气工程与系统科学 2023-04-07 Marta Fochesato , Filippo Fabiani , John Lygeros

This paper considers a networked aggregative game (NAG) where the players are distributed over a communication network. By only communicating with a subset of players, the goal of each player in the NAG is to minimize an individual cost…

最优化与控制 · 数学 2021-05-13 Rongping Zhu , Jiaqi Zhang , Keyou You

We analyze the distributed power allocation problem in parallel multiple access channels (MAC) by studying an associated non-cooperative game which admits an exact potential. Even though games of this type have been the subject of…

计算机科学与博弈论 · 计算机科学 2010-11-29 Panayotis Mertikopoulos , Elena V. Belmega , Aris L. Moustakas , Samson Lasaulce

We study Nash equilibrium problems with mixed-integer variables in which each player solves a mixed-integer optimization problem parameterized by the rivals' strategies. We distinguish between standard Nash equilibrium problems (NEPs),…

计算机科学与博弈论 · 计算机科学 2026-03-05 Aloïs Duguet , Tobias Harks , Martin Schmidt , Julian Schwarz

This paper studies distributed online bandit learning of generalized Nash equilibria for online game, where cost functions of all players and coupled constraints are time-varying. The values rather than full information of cost and local…

最优化与控制 · 数学 2022-04-21 Min Meng , Xiuxian Li , Jie Chen

This paper studies the global Nash equilibrium problem of leader-follower multi-agent dynamics, which yields consensus with a privacy information encrypted learning algorithm. With the secure hierarchical structure, the relationship between…

系统与控制 · 电气工程与系统科学 2023-02-08 Kun Zhang , Ji-Feng Zhang , Rong Su , Huaguang Zhang

This paper considers a class of generalized convex games where each player is associated with a convex objective function, a convex inequality constraint and a convex constraint set. The players aim to compute a Nash equilibrium through…

最优化与控制 · 数学 2015-09-23 Minghui Zhu , Emilio Frazzoli

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 the problem of simultaneous learning in stochastic games with many players in the finite-horizon setting. While the typical target solution for a stochastic game is a Nash equilibrium, this is intractable with many players. We…

计算机科学与博弈论 · 计算机科学 2022-10-27 William Brown

We study a target coverage problem in which a team of sensing agents, operating under limited communication, must collaboratively monitor targets that may be adaptively repositioned by an attacker. We model this interaction as a zero-sum…

系统与控制 · 电气工程与系统科学 2026-03-19 Jayanth Bhargav , Zirui Xu , Vasileios Tzoumas , Mahsa Ghasemi , Shreyas Sundaram

We propose a decentralized penalty method for general convex constrained multi-agent optimization problems. Each auxiliary penalized problem is solved approximately with a special parallel descent splitting method. The method can be…

最优化与控制 · 数学 2020-08-11 Igor Konnov

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…

最优化与控制 · 数学 2023-09-15 Hanzheng Zhang , Guanpu Chen , Yiguang Hong

A key feature of wireless communications is the spatial reuse. However, the spatial aspect is not yet well understood for the purpose of designing efficient spectrum sharing mechanisms. In this paper, we propose a framework of spatial…

网络与互联网体系结构 · 计算机科学 2014-05-19 Xu Chen , Jianwei Huang

Contemporary applications of machine learning in two-team e-sports and the superior expressivity of multi-agent generative adversarial networks raise important and overlooked theoretical questions regarding optimization in two-team games.…

计算机科学与博弈论 · 计算机科学 2023-04-18 Fivos Kalogiannis , Ioannis Panageas , Emmanouil-Vasileios Vlatakis-Gkaragkounis

Coordination in multiplayer games enables players to avoid the lose-lose outcome that often arises at Nash equilibria. However, designing a coordination mechanism typically requires the consideration of the joint actions of all players,…

计算机科学与博弈论 · 计算机科学 2026-03-23 Jaehan Im , Yue Yu , David Fridovich-Keil , Ufuk Topcu

In this paper, we solve the problem of learning a generalized Nash equilibrium (GNE) in merely monotone games. First, we propose a novel continuous semi-decentralized solution algorithm without projections that uses first-order information…

系统与控制 · 电气工程与系统科学 2021-10-07 Suad Krilašević , Sergio Grammatico

Dynamic games arise when multiple agents with differing objectives control a dynamic system. They model a wide variety of applications in economics, defense, energy systems and etc. However, compared to single-agent control problems, the…

系统与控制 · 电气工程与系统科学 2020-01-08 Bolei Di , Andrew Lamperski

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…

最优化与控制 · 数学 2025-11-18 Kaixin Du , Min Meng

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…

计算机科学与博弈论 · 计算机科学 2022-07-05 Takashi Ishizuka , Naoyuki Kamiyama

Coordination games have been of interest to game theorists, economists, and ecologists for many years to study such problems as the emergence of local conventions and the evolution of cooperative behavior. Approaches for understanding the…

计算机科学与博弈论 · 计算机科学 2025-07-09 John S. McAlister , Nina H. Fefferman