Mean Field Games and Mean Field Type Control Theory

Alain Bensoussan, Jens Frehse, Phillip Yam


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?Mean field games and Mean field type control introduce new problems in Control Theory. The terminology “games” may be confusing. In fact they are control problems, in the sense that one is interested in a single decision maker, whom we can call the representative agent. However, these problems are not standard, since both the evolution of the state and the objective functional is influenced but terms which are not directly related to the state or the control of the decision maker. They are however, indirectly related to him, in the sense that they model a very large community of agents similar to the representative agent. All the agents behave similarly and impact the representative agent. However, because of the large number an aggregation effect takes place. The interesting consequence is that the impact of the community can be modeled by a mean field term, but when this is done, the problem is reduced to a control problem. ?

Détails
Auteur
Alain  Bensoussan , Jens  Frehse , Phillip  Yam
Marque
Springer
Collection
SpringerBriefs in Mathematics
Parution
2013-10-16
Pages
128 pages
EAN papier
9781461485070
Langue
Anglais
Informations ebook
EAN EPUB
9781461485087
Prix
79,11 €
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Nb pages copiables 1
Nb pages imprimables 12
Taille du fichier 1997 Ko
Ce livre est accessible aux handicaps   Informations sur l'accessibilité
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