Date
2010
Lien vers un document non conservé dans cette base
http://hal.archives-ouvertes.fr/hal-00346214/en/
Indexation documentaire
Probabilités et mathématiques appliquées
Subject
mean field games; dynamic equilibrium; externalities; monotonic algorithms; optimal control; non-convex optimization
Code JEL
C62
Nom de la revue
Mathematical Models and Methods in Applied Sciences
Volume
20
Numéro
4
Date de publication
2010
Pages article
567-588
Nom de l'éditeur
World Scientific
Auteur
Lachapelle, Aimé
Salomon, Julien
Turinici, Gabriel
Type
Article accepté pour publication ou publié
Résumé en anglais
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.
