14th Northwest Probability Seminar - Linear-Quadratic-Gaussian Mixed Game with Continuum-Parametrized Minor Players

Speaker  Son Luu Nguyen

Host  David Wilson

Affiliation  Oregon State University

Duration  00:28:08

Date recorded  13 October 2012

We consider a mean field linear-quadratic-Gaussian game with a major player and a large number of minor players parametrized by a continuum set. The mean field generated by the minor players is approximated by a random process depending only on the initial state and the Brownian motion of the major player, and this leads to two limiting optimal control problems with random coefficients, which are solved subject to a consistent requirement on the mean field approximation. The set of decentralized strategies constructed from the limiting control problems has an epsilon-Nash equilibrium property when applied to the large but finite population model.

Joint work with Minyi Huang.

©2012 Microsoft Corporation. All rights reserved.
> 14th Northwest Probability Seminar - Linear-Quadratic-Gaussian Mixed Game with Continuum-Parametrized Minor Players