ON THE (IN)EFFICIENCY OF MFG EQUILIBRIA

被引：10

作者：

Cardaliaguet, Pierre ^{[1
]}

Rainer, Catherine ^{[2
]}

机构：

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

[2] Univ Bretagne Occidentale, LMBA, CS 93837, F-29285 Brest, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2019年 / 57卷 / 04期

关键词：

mean field games; stochastic control; McKean-Vlasov control problem; MEAN-FIELD GAMES; INEFFICIENCY;

D O I：

10.1137/18M1172363

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Mean field games (MFGs) are dynamic games with infinitely many infinitesimal agents. In this context, we study the efficiency of Nash MFG equilibria; namely, we compare the social cost of an MFG equilibrium with the minimal cost a global planner can achieve. We find a structure condition on the game under which there exist efficient MFG equilibria and, in case this condition is not fulfilled, quantify how inefficient MFG equilibria are.

引用

页码：2292 / 2314

页数：23

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