Award Date

8-1-2015

Degree Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematical Sciences

First Committee Member

Monika Neda

Second Committee Member

Pushkin Kachroo

Third Committee Member

Amei Amei

Fourth Committee Member

Dieudonne Phanord

Fifth Committee Member

Anjala Krishen

Number of Pages

51

Abstract

This thesis presents an inverse problem for mean field games where we find the

mean field problem statement for which the given dynamics is the solution. We use

distributed traffic as an example and derive the classic Lighthill Whitham Richards

(LWR) model as a solution of the non-viscous mean field game. We also derive

the same model by choosing a different problem where we use travel time, which

is a distributed parameter, as the cost for the optimal control. We then study the

stationary versions of these two problems and provide numerical solutions for the

same.

Keywords

Fokker Plank Equation; HJB Equation; LWR Model; Mean Field Games

Disciplines

Mathematics

Language

English


Included in

Mathematics Commons

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