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010   $a1-4614-8508-8
024 7 $a10.1007/978-1-4614-8508-7
035   $a(OCoLC)862941167
035   $a(MiFhGG)GVRL6XYK
035   $a(EXLCZ)993710000000024296
100   $a20130722d2013      uy             0
101 0 $aeng
135   $aurun|---uuuua
181   $ctxt
182   $cc
183   $acr
200 10$aMean field games and mean field type control theory /$fAlain Bensoussan, Jens Frehse, Phillip Yam
205   $a1st ed. 2013.
210  1$aNew York :$cSpringer,$d2013.
215   $a1 online resource (x, 128 pages)
225 1 $aSpringerBriefs in Mathematics,$x2191-8198
300   $a"ISSN: 2191-8198."
300   $a"ISSN: 2191-8201 (electronic)."
311   $a1-4614-8507-X 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- 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.
330   $aMean field games and Mean field type control introduce new problems in Control Theory. The terminology ?games? may be confusing. In fact they are control problems, in the sense that one is interested in a single decision maker, whom we can call the representative agent. However, these problems are not standard, since both the evolution of the state and the objective functional is influenced but terms which are not directly related to the state or the control of the decision maker. They are however, indirectly related to him, in the sense that they model a very large community of agents similar to the representative agent. All the agents behave similarly and impact the representative agent. However, because of the large number an aggregation effect takes place. The interesting consequence is that the impact of the community can be modeled by a mean field term, but when this is done, the problem is reduced to a control problem. .
410  0$aSpringerBriefs in mathematics.
606   $aMean field theory
606   $aControl theory
606   $aGame theory
615  0$aMean field theory.
615  0$aControl theory.
615  0$aGame theory.
676   $a515.642
700   $aBensoussan$b Alain$4aut$4http://id.loc.gov/vocabulary/relators/aut$014378
702   $aFrehse$b J$g(Jens),
702   $aYam$b Phillip
801  0$bMiFhGG
801  1$bMiFhGG
906   $aBOOK
912   $a9910438034703321
996   $aMean Field Games and Mean Field Type Control Theory$92506832
997   $aUNINA