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.
| Identifer | oai:union.ndltd.org:kaust.edu.sa/oai:repository.kaust.edu.sa:10754/607757 |
| Date | 19 April 2016 |
| Creators | Yang, Xianjin |
| Contributors | Gomes, Diogo A., Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division, Tzavaras, Athanasios, Shamma, Jeff S. |
| Source Sets | King Abdullah University of Science and Technology |
| Language | English |
| Detected Language | English |
| Type | Thesis |
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