Graphon Mean Field Games and Their Equations

DOI10.1137/20M136373XzbMath1479.91035arXiv2008.10216MaRDI QIDQ5013560

Peter E. Caines, M. Y. Huang

Publication date: 1 December 2021

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

Full work available at URL: https://arxiv.org/abs/2008.10216

zbMATH Keywords

networksmean field gamesgraphons

Mathematics Subject Classification ID

Applications of graph theory (05C90) Games involving graphs (91A43) Mean field games (aspects of game theory) (91A16)

Related Items (6)

Stationarity and uniform in time convergence for the graphon particle system ⋮ Robust Mean Field Linear Quadratic Social Control: Open-Loop and Closed-Loop Strategies ⋮ Graphon particle system: uniform-in-time concentration bounds ⋮ Propagation of chaos of forward-backward stochastic differential equations with graphon interactions ⋮ Graphon mean field systems ⋮ On the Graphon Mean Field Game equations: Individual agent affine dynamics and mean field dependent performance functions

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