Stationary Mean Field Games Systems Defined on Networks

DOI10.1137/15M1022082zbMath1382.91015arXiv1505.04953MaRDI QIDQ2807398

Fabio Camilli, Claudio Marchi

Publication date: 20 May 2016

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.04953

zbMATH Keywords

networksmean field gamestransition conditions

Mathematics Subject Classification ID

Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Games with infinitely many players (91A07) Stochastic games, stochastic differential games (91A15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (11)

Linear-quadratic mean field games ⋮ Homogenization of a Mean Field Game System in the Small Noise Limit ⋮ Transport of measures on networks ⋮ Aubry–Mather theory on graphs ⋮ A continuous dependence estimate for viscous Hamilton-Jacobi equations on networks with applications ⋮ Reinforcement learning for non-stationary discrete-time linear-quadratic mean-field games in multiple populations ⋮ Selected topics in mean field games ⋮ Finite horizon mean field games on networks ⋮ An introduction to mean field game theory ⋮ A discrete Hughes model for pedestrian flow on graphs ⋮ A note on Kazdan-Warner equation on networks

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