COMPUTATION OF MEAN FIELD EQUILIBRIA IN ECONOMICS

被引：81
|
作者：
Lachapelle, Aime [1 ]
Salomon, Julien [1 ]
Turinici, Gabriel [1 ]
机构：
[1] Univ Paris 09, CEREMADE, CNRS, UMR 7534, F-75775 Paris 16, France
来源：
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2010年 / 20卷 / 04期
关键词：
Mean field games; dynamic equilibrium; externalities; monotonic algorithms; optimal control; non-convex optimization; GAMES;
D O I：
10.1142/S0218202510004349
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Motivated by a mean field games stylized model for the choice of technologies (with externalities and economy of scale), we consider the associated optimization problem and prove an existence result. To complement the theoretical result, we introduce a monotonic algorithm to find the mean field equilibria. We close with some numerical results, including the multiplicity of equilibria describing the possibility of a technological transition.
引用
收藏
页码：567 / 588
页数：22
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