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In this paper, we study a large population game with heterogeneous dynamics and cost functions solving a consensus problem. Moreover, the agents have communication constraints which appear as: (1) an Additive-White Gaussian Noise (AWGN)…

系统与控制 · 电气工程与系统科学 2022-08-26 Shubham Aggarwal , Muhammad Aneeq uz Zaman , Tamer Başar

Modeling stochastic traffic dynamics is critical to developing self-driving cars. Because it is difficult to develop first principle models of cars driven by humans, there is great potential for using data driven approaches in developing…

机器学习 · 计算机科学 2022-02-22 Ke Sun , Stephen Chaves , Paul Martin , Vijay Kumar

We consider non-atomic network congestion games with heterogeneous players where the latencies of the paths are subject to some bounded deviations. This model encompasses several well-studied extensions of the classical Wardrop model which…

计算机科学与博弈论 · 计算机科学 2017-07-06 Pieter Kleer , Guido Schäfer

For a mean field game model with a major and infinite minor players, we characterize a notion of Nash equilibrium via a system of so-called master equations, namely a system of nonlinear transport equations in the space of measures. Then,…

最优化与控制 · 数学 2018-11-08 Pierre Cardaliaguet , Marco Cirant , Alessio Porretta

Self-interested behavior in sharing economies often leads to inefficient aggregate outcomes compared to a centrally coordinated allocation, ultimately harming users. Yet, centralized coordination removes individual decision power. This…

计算机科学与博弈论 · 计算机科学 2026-03-20 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

In autonomous mobility-on-demand systems, effectively managing vehicle flows to mitigate induced congestion and ensure efficient operations is imperative for system performance and positive customer experience. Against this background, we…

最优化与控制 · 数学 2025-06-25 Antonio Coppola , Gerhard Hiermann , Dario Paccagnan , Maximilian Schiffer

Over the years, reinforcement learning has emerged as a popular approach to develop signal control and vehicle platooning strategies either independently or in a hierarchical way. However, jointly controlling both in real-time to alleviate…

机器学习 · 计算机科学 2025-08-13 Xianyue Peng , Shenyang Chen , Hang Gao , Hao Wang , H. Michael Zhang

In this paper, we consider a mean field game model inspired by crowd motion in which several interacting populations evolving in $\mathbb R^d$ aim at reaching given target sets in minimal time. The movement of each agent is described by a…

最优化与控制 · 数学 2022-08-16 Saeed Sadeghi Arjmand , Guilherme Mazanti

Traffic congestion has large economic and social costs. The introduction of autonomous vehicles can potentially reduce this congestion by increasing road capacity via vehicle platooning and by creating an avenue for influencing people's…

多智能体系统 · 计算机科学 2021-06-10 Erdem Bıyık , Daniel A. Lazar , Ramtin Pedarsani , Dorsa Sadigh

Stability of Wardrop equilibria is analyzed for dynamical transportation networks in which the drivers' route choices are influenced by information at multiple temporal and spatial scales. The considered model involves a continuum of…

动力系统 · 数学 2015-03-17 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

This paper studies steady-state traffic flow on a ring road with up- and down- slopes using a semi-discrete model. By exploiting the relations between the semi-discrete and the continuum models, a steady-state solution is uniquely…

数学物理 · 物理学 2015-06-15 Chun-Xiu Wu , Peng Zhang , S. C. Wong , Keechoo Choi

We consider a model of priced resource sharing that combines both queueing behavior and strategic behavior. We study a priority service model where a single server allocates its capacity to agents in proportion to their payment to the…

计算机科学与博弈论 · 计算机科学 2012-06-05 Yu Wu , Loc Bui , Ramesh Johari

In this paper we establish quantitative convergence results for both open and closed-loop Nash equilibria of N-player stochastic differential games in the setting of Mean Field Games of Controls (MFGC), a class of models where interactions…

概率论 · 数学 2025-07-24 Joe Jackson , Alpár R. Mészáros

We study traffic flow on roads with a localized periodic inhomogeneity such as traffic signals, using a stochastic car-following model. We find that in cases of congestion, traffic flow can be optimized by controlling the inhomogeneity's…

统计力学 · 物理学 2007-05-23 Elad Tomer , Leonid Safonov , Nilly Madar , Shlomo Havlin

We formulate a stochastic game of mean field type where the agents solve optimal stopping problems and interact through the proportion of players that have already stopped. Working with a continuum of agents, typical equilibria become…

最优化与控制 · 数学 2017-12-01 Marcel Nutz

We consider a general class of nonzero-sum $N$-player stochastic games with impulse controls, where players control the underlying dynamics with discrete interventions. We adopt a verification approach and provide sufficient conditions for…

最优化与控制 · 数学 2020-10-06 Matteo Basei , Haoyang Cao , Xin Guo

This study addresses primal-dual dynamics for a stochastic programming problem for capacity network design. It is proven that consensus can be achieved on the \textit{here and now} variables which represent the capacity of the network. The…

最优化与控制 · 数学 2020-09-11 Casper T. Röling , Dario Bauso , Hamidou Tembine

This paper aims to reduce the communication and computation costs of the Nash equilibrium seeking strategy for the $N$-coalition noncooperative games proposed in [1]. The objective is achieved in two manners: 1. An interference graph is…

最优化与控制 · 数学 2019-06-05 Maojiao Ye , Guoqiang Hu , Frank L. Lewis , Lihua Xie

In this paper we study iterative procedures for stationary equilibria in games with large number of players. Most of learning algorithms for games with continuous action spaces are limited to strict contraction best reply maps in which the…

机器学习 · 计算机科学 2012-10-18 Hamidou Tembine , Raul Tempone , Pedro Vilanova

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
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