76 citations · 252 across the 30 of their papers we have counts for
4 papers · 2 filters
Linear quadratic mean field social optimization: Asymptotic solvability and decentralized control
Minyi Huang, Xuwei Yang
This paper studies asymptotic solvability of a linear quadratic (LQ) mean field social optimization problem with controlled diffusions and indefinite state and control weights. Sta…
Linear-Quadratic Mean Field Games with a Major Player: Nash certainty equivalence versus master equations
Minyi Huang
Mean field games with a major player were introduced in (Huang, 2010) within a linear-quadratic (LQ) modeling framework. Due to the rich structure of major-minor player models, the…
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…
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…