A regularized stationary mean-field game

  • Xianjin Yang

Student thesis: Master's Thesis

Abstract

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 AwardApr 19 2016
Original languageEnglish
Awarding Institution
  • Computer, Electrical and Mathematical Science and Engineering
SupervisorDiogo Gomes (Supervisor)

Keywords

  • Mean field games
  • continuation method
  • monotone flow
  • energy method
  • regularity
  • Stationary

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