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Other titles in the Springerbriefs in Mathematics series:

Mean Field Games and Mean Field Type Control Theory (Springerbriefs in Mathematics)

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Mean Field Games and Mean Field Type Control Theory (Springerbriefs in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

​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.

Table of Contents

​Introduction.- General Presentation of Mean Field Control Problems.- Discussion of the Mean Field game.- Discussion of the Mean Field Type Control.- Approximation of Nash Games with a large number of players.- Linear Quadratic Models.- Stationary Problems- Different Populations.- Nash differential games with Mean Field effect.

Product Details

ISBN:
9781461485070
Author:
Bensoussan, Alain
Publisher:
Springer
Author:
Frehse, Jens
Author:
Yam, Phillip
Location:
New York, NY
Subject:
System Theory
Subject:
Mathematics
Subject:
mean field games
Subject:
Mean Field type control
Subject:
Nash Equilibrium
Subject:
Dynamic programming
Subject:
stochastic maximum principle
Subject:
Differential games
Subject:
Language, literature and biography
Subject:
Systems Theory, Control
Subject:
Probability Theory and Stochastic Processes
Subject:
PARTIAL DIFFERENTIAL EQUATIONS
Subject:
mathematics and statistics
Subject:
Systems theory.
Subject:
Distribution (Probability theory)
Subject:
Differential equations, partial
Subject:
Mathematics-Systems Theory
Copyright:
Edition Description:
2014
Series:
SpringerBriefs in Mathematics
Publication Date:
20131031
Binding:
TRADE PAPER
Language:
English
Pages:
125
Dimensions:
235 x 155 mm

Related Subjects

Health and Self-Help » Health and Medicine » Medical Specialties
Science and Mathematics » Biology » Primatology
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Probability Theory
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Mathematics » Systems Theory

Mean Field Games and Mean Field Type Control Theory (Springerbriefs in Mathematics) New Trade Paper
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