In the thesis, we discuss the existence and numerical approximations of solutions of a regularized mean-field game with a low-order regularization. In the first part, we prove a priori estimates and use the continuation method to obtain the existence of a solution with a positive density. Finally, we introduce the monotone flow method and solve the system numerically.
|Date of Award||Apr 19 2016|
- Computer, Electrical and Mathematical Science and Engineering
|Supervisor||Diogo Gomes (Supervisor)|
- Mean field games
- continuation method
- monotone flow
- energy method