Mean Field Games and Mean Field Type Control Theory - Couverture souple
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Synopsis
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.
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Présentation de l'éditeur
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.
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Mean Field Games and Mean Field Type Control Theory (eng)
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Mean Field Games and Mean Field Type Control Theory
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Humana, Springer Okt 2013, 2013
ISBN 10 : 146148507X
ISBN 13 : 9781461485070
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 140 pp. Englisch. N° de réf. du vendeur 9781461485070
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This is the first contribution of this work to present a unified approach for both problems, using either HJB and FP coupled equations or stochastic maximum principleSubject matter is interesting and has received much recent attentionGives . N° de réf. du vendeur 4199701
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ISBN 10 : 146148507X
ISBN 13 : 9781461485070
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -¿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.¿Libri GmbH, Europaallee 1, 36244 Bad Hersfeld 140 pp. Englisch. N° de réf. du vendeur 9781461485070
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Taschenbuch. Etat : Neu. Mean Field Games and Mean Field Type Control Theory | Alain Bensoussan (u. a.) | Taschenbuch | SpringerBriefs in Mathematics | x | Englisch | 2013 | Humana | EAN 9781461485070 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 105687941
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. N° de réf. du vendeur 9781461485070
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