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On Critical nodes for Linear Quadratic Gaussian Graphon Mean Field Games

Speaker: Rinel Foguen Tchuendom

Date: Thu, Oct 28, 2021

Location: Online

Conference: Workshop on Mean Field Games on Networks

Subject: Mathematics

Class: Scientific

Abstract:

In this short talk, we study the solvability of Linear Quadratic Gaussian Graphon Mean Field Games (LQG-GMFGs). We motivate and define critical nodes to be those nodes at which the value function is stationary with respect to its index. We present an example of such nodes for LQG-GMFGs with the uniform attachment graphon and present some numerical simulations.