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This paper investigates Nash equilibrium (NE) seeking problems for noncooperative games over multi-players networks with finite bandwidth communication. A distributed quantized algorithm is presented, which consists of local gradient play,…

分布式、并行与集群计算 · 计算机科学 2021-11-16 Ziqin Chen , Ji Ma , Shu Liang , Li Li

Distributed optimization and Nash equilibrium (NE) seeking problems have drawn much attention in the control community recently. This paper studies a class of non-cooperative games, known as N-cluster game, which subsumes both cooperative…

最优化与控制 · 数学 2023-03-01 Yipeng Pang , Guoqiang Hu

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…

最优化与控制 · 数学 2022-05-17 Xiaoyu Ma , Jinlong Lei , Peng Yi , Jie Chen

We analyze the stability of standard, buffered, slotted-Aloha systems. Specifically, we consider a set of $N$ users, each equipped with an infinite buffer. Packets arrive into user $i$'s buffer according to some stationary ergodic Markovian…

信息论 · 计算机科学 2009-09-29 Charles Bordenave , David McDonald , Alexandre Proutiere

Systems of competing agents can often be modeled as games. Assuming rationality, the most likely outcomes are given by an equilibrium (e.g. a Nash equilibrium). In many practical settings, games are influenced by context, i.e. additional…

机器学习 · 计算机科学 2024-06-13 Daniel McKenzie , Howard Heaton , Qiuwei Li , Samy Wu Fung , Stanley Osher , Wotao Yin

To verify the robustness of a program or protocol, it is common in the computer science community to rely on the theoretical framework of game theory. In particular, if one seeks to enforce a desired property, or specification, despite an…

计算机科学与博弈论 · 计算机科学 2026-05-20 Léonard Brice

We consider a distributed stochastic approximation (SA) scheme for computing an equilibrium of a stochastic Nash game. Standard SA schemes employ diminishing steplength sequences that are square summable but not summable. Such requirements…

最优化与控制 · 数学 2013-03-20 Farzad Yousefian , Angelia Nedich , Uday V. Shanbhag

This paper addresses the distributed Nash Equilibrium seeking problem for aggregative games, where legitimate players' decisions are affected by potential malicious players. To describe players' behavior, we introduce a novel heterogeneous…

系统与控制 · 电气工程与系统科学 2025-12-01 Kai-Yuan Guo , Yan-Wu Wang , Xiao-Kang Liu , Zhi-Wei Liu

Nash equilibria provide a principled framework for modeling interactions in multi-agent decision-making and control. However, many equilibrium-seeking methods implicitly assume that each agent has access to the other agents' objectives and…

计算机科学与博弈论 · 计算机科学 2026-03-19 Mahdis Rabbani , Navid Mojahed , Shima Nazari

Whilst network coordination games and network anti-coordination games have received a considerable amount of attention in the literature, network games with coexisting coordinating and anti-coordinating players are known to exhibit more…

计算机科学与博弈论 · 计算机科学 2021-10-26 Laura Arditti , Giacomo Como , Fabio Fagnani , Martina Vanelli

This paper explores distributed Nash equilibrium seeking problems for games in which the players have limited knowledge on other players' actions. In particular, the involved players are considered to be high-order integrators with their…

最优化与控制 · 数学 2021-08-17 Maojiao Ye , Lei Ding , Shengyuan Xu

We consider framed slotted Aloha where $m$ base stations cooperate to decode messages from $n$ users. Users and base stations are placed uniformly at random over an area. At each frame, each user sends multiple replicas of its packet…

信息论 · 计算机科学 2014-01-28 Dusan Jakovetic , Dragana Bajovic , Dejan Vukobratovic , Vladimir Crnojevic

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

最优化与控制 · 数学 2025-07-18 Tatiana Tatarenko , Angelia Nedich

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…

系统与控制 · 电气工程与系统科学 2023-06-19 Zhenhua Deng , Yan Zhao

We consider a subclass of $n$-player stochastic games, in which players have their own internal state/action spaces while they are coupled through their payoff functions. It is assumed that players' internal chains are driven by independent…

机器学习 · 计算机科学 2023-03-23 S. Rasoul Etesami

We introduce a novel class of Nash equilibrium seeking dynamics for non-cooperative games with a finite number of players, where the convergence to the Nash equilibrium is bounded by a KL function with a settling time that can be upper…

最优化与控制 · 数学 2020-12-25 Jorge I. Poveda , Miroslav Krstic , Tamer Basar

In the game theory literature, there appears to be little research on equilibrium selection for normal-form games with an infinite strategy space and discontinuous utility functions. Moreover, many existing selection methods are not…

计算机科学与博弈论 · 计算机科学 2018-09-24 Yuke Li , A. Stephen Morse

Motivated by applications in job scheduling, queuing networks, and load balancing in cyber-physical systems, we develop and analyze a game-theoretic framework to balance the load among servers in static and dynamic settings. In these…

计算机科学与博弈论 · 计算机科学 2025-12-24 Fatemeh Fardno , S. Rasoul Etesami

We consider a wireless channel shared by multiple transmitter-receiver pairs. Their transmissions interfere with each other. Each transmitter-receiver pair aims to maximize its long-term average transmission rate subject to an average power…

信息论 · 计算机科学 2014-09-29 Krishna Chaitanya A , Utpal Mukherji , Vinod Sharma

Noncooperative game-theoretic tools have been increasingly used to study many important resource allocation problems in communications, networking, smart grids, and portfolio optimization. In this paper, we consider a general class of…

计算机科学与博弈论 · 计算机科学 2016-11-17 Gesualdo Scutari , Francisco Facchinei , Jong-Shi Pang , Daniel P. Palomar