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科学研究
RESEARCH
Mean Field Games for linear control system and ergodic behavior of Mean Field Games problems depending on acceleration
时间  Datetime
2019-07-08 20:00 — 21:30
地点  Venue
Zoom APP(2)()
报告人  Speaker
Cristian, Mendico
单位  Affiliation
GSSI-Gran Sasso Science Institute and University of Paris Dauphine
邀请人  Host
Kaizhi WANG
备注  remarks
Meeting ID:692 5398 7649 Password:533472
报告摘要  Abstract

The aim of this talk is to present the recent results obtained in collaboration with P. Cannarsa and P. Cardaliaguet concerning the study of MFG problems in which the dynamics of each agents is given by a controlled linear differential equation and the analysis of the long time behavior of solutions for MFG problems depending on the acceleration of each players, respectively. In particular,
in the first part of this talk I will concentrate on the existence and uniqueness of mild solutions of MFG problems for linear control systems and their relations with the classical weak solutions of the PDE systems. In the second part, I will describe the results we are obtaining regarding the ergodic behavior of MFG problems depending on acceleration with particular attention to the main differences we encountered with respect to the literature known by now on this subject.