76 citations · 299 across the 24 of their papers we have counts for
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math.OC2020★ 2 cited
On the Graphon Mean Field Game Equations: Individual Agent Affine Dynamics and Mean Field Dependent Performance Functions
Peter E. Caines, Daniel W. C. HO, Minyi Huang +2
This paper establishes unique solvability of a class of Graphon Mean Field Game equations. The special case of a constant graphon yields the result for the Mean Field Game equation…
math.OC2020★ 76 cited
Graphon Mean Field Games and the GMFG Equations
Peter E. Caines, Minyi Huang
The emergence of the graphon theory of large networks and their infinite limits has enabled the formulation of a theory of the centralized control of dynamical systems distributed…