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Structured game representations have recently attracted interest as models for multi-agent artificial intelligence scenarios, with rational behavior most commonly characterized by Nash equilibria. This paper presents efficient, exact…

计算机科学与博弈论 · 计算机科学 2011-10-27 B. Blum , D. Koller , C. R. Shelton

This paper studies approximate solutions to large-scale linear quadratic stochastic games with homogeneous nodal dynamics parameters and heterogeneous network couplings within the graphon mean field game framework in [2]-[4]. A graphon…

系统与控制 · 电气工程与系统科学 2021-10-22 Shuang Gao , Peter E. Caines , Minyi Huang

The article considers systems of interacting particles on networks with adaptively coupled dynamics. Such processes appear frequently in natural processes and applications. Relying on the notion of graph convergence, we prove that for large…

动力系统 · 数学 2026-05-20 Sebastian Throm

We design the first fully-distributed algorithm for generalized Nash equilibrium seeking in aggregative games on a time-varying communication network, under partial-decision information, i.e., the agents have no direct access to the…

最优化与控制 · 数学 2022-06-16 Giuseppe Belgioioso , Angelia Nedić , Sergio Grammatico

We study Nash equilibria for the deterministic ergodic N-players game. We introduce pure strategies, mixed strategies and Nash equilibria associated with those. We show that a Nash equilibrium in mixed strategies exists and it is a Mather…

最优化与控制 · 数学 2023-04-04 Cristian Mendico

In finite games mixed Nash equilibria always exist, but pure equilibria may fail to exist. To assess the relevance of this nonexistence, we consider games where the payoffs are drawn at random. In particular, we focus on games where a large…

计算机科学与博弈论 · 计算机科学 2020-06-18 Ben Amiet , Andrea Collevecchio , Marco Scarsini , Ziwen Zhong

We study a network congestion game of discrete-time dynamic traffic of atomic agents with a single origin-destination pair. Any agent freely makes a dynamic decision at each vertex (e.g., road crossing) and traffic is regulated with given…

计算机科学与博弈论 · 计算机科学 2017-05-05 Zhigang Cao , Bo Chen , Xujin Chen , Changjun Wang

This paper presents a general closed graph property for (randomized strategy) Nash equilibrium correspondence in large games. In particular, we show that for any large game with a convergent sequence of fiinite-player games, the limit of…

最优化与控制 · 数学 2024-10-30 Enxian Chen , Bin Wu , Hanping Xu

Proportional dynamics, originated from peer-to-peer file sharing systems, models a decentralized price-learning process in Fisher markets. Previously, items in the dynamics operate independently of one another, and each is assumed to belong…

计算机科学与博弈论 · 计算机科学 2024-07-17 Juncheng Li , Pingzhong Tang

We study the repeated congestion game, in which multiple populations of players share resources, and make, at each iteration, a decentralized decision on which resources to utilize. We investigate the following question: given a model of…

机器学习 · 计算机科学 2014-08-04 Walid Krichene , Benjamin Drighès , Alexandre M. Bayen

The additively separable hedonic game (ASHG) is a model of coalition formation games on graphs. In this paper, we intensively and extensively investigate the computational complexity of finding several desirable solutions, such as a Nash…

计算复杂性 · 计算机科学 2019-10-23 Tesshu Hanaka , Hironori Kiya , Yasuhide Maei , Hirotaka Ono

Nash equilibria are crucial for understanding game behavior and systems in economics, physics, biology, and computer science. A significant application arises from the connection between Nash equilibria and optimization problems . However,…

量子物理 · 物理学 2025-11-14 Giovanni Ferrannini , Dario di Gregorio , Federico Fissore

This paper investigates the efficiency loss in social cost caused by strategic bidding behavior of individual participants in a supply-demand balancing market, and proposes a mechanism to fully recover equilibrium social optimum via…

最优化与控制 · 数学 2021-06-22 Kaiying Lin , Beibei Wang , Pengcheng You

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…

系统与控制 · 计算机科学 2015-11-30 Youcheng Lou , Yiguang Hong , Lihua Xie , Guodong Shi , Karl Henrik Johansson

We consider the Stochastic Matching problem, which is motivated by applications in kidney exchange and online dating. In this problem, we are given an undirected graph. Each edge is assigned a known, independent probability of existence and…

数据结构与算法 · 计算机科学 2020-10-19 Marek Adamczyk , Brian Brubach , Fabrizio Grandoni , Karthik A. Sankararaman , Aravind Srinivasan , Pan Xu

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

Consensus strategies find a variety of applications in distributed coordination and decision making in multi-agent systems. In particular, average consensus plays a key role in a number of applications and is closely associated with two…

多智能体系统 · 计算机科学 2012-10-17 Themistoklis Charalambous , Christoforos N. Hadjicostis

This paper considers a class of noncooperative games in which the feasible decision sets of all players are coupled together by a coupled inequality constraint. Adopting the variational inequality formulation of the game, we first introduce…

计算机科学与博弈论 · 计算机科学 2024-02-13 Huaqing Li , Liang Ran , Lifeng Zheng , Zhe Li , Jinhui Hu , Jun Li , Tingwen Huang

Distributed Nash equilibrium (NE) seeking problem for multi-coalition games has attracted increasing attention in recent years, but the research mainly focuses on the case without agreement demand within coalitions. This paper considers a…

最优化与控制 · 数学 2021-12-10 Jialing Zhou , Yuezu Lv , Guanghui Wen , Jinhu Lv , Dezhi Zheng

We propose an integral Nash equilibrium seeking control (I-NESC) law which steers the multi-agent system composed of a special class of linear agents to the neighborhood of the Nash equilibrium in noncooperative strongly monotone games.…

最优化与控制 · 数学 2019-11-22 Suad Krilašević , Sergio Grammatico