Long Time Average of First Order Mean Field Games and Weak KAM Theory

被引：44

作者：

Cardaliaguet, P. ^{[1
]}

机构：

[1] Univ Paris 09, CEREMADE, F-75775 Paris 16, France

来源：

DYNAMIC GAMES AND APPLICATIONS | 2013年 / 3卷 / 04期

基金：

欧盟第七框架计划;

关键词：

Mean field game; Long time average; Weak KAM theory; BEHAVIOR;

D O I：

10.1007/s13235-013-0091-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the long time average of solutions of first order mean field game systems in finite horizon is governed by an ergodic system of mean field game type. The well-posedness of the latter system and the uniqueness of the ergodic constant rely on weak KAM theory.

引用

页码：473 / 488

页数：16

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