000			03074nam a22005295i 4500
001			978-1-4614-8508-7
003			DE-He213
005			20140220082832.0
007			cr nn 008mamaa
008			131016s2013 xxu| s |||| 0|eng d
020			_a9781461485087 _9978-1-4614-8508-7
024	7		_a10.1007/978-1-4614-8508-7 _2doi
050		4	_aQ295
050		4	_aQA402.3-402.37
072		7	_aGPFC _2bicssc
072		7	_aSCI064000 _2bisacsh
072		7	_aTEC004000 _2bisacsh
082	0	4	_a519 _223
100	1		_aBensoussan, Alain. _eauthor.
245	1	0	_aMean Field Games and Mean Field Type Control Theory _h[electronic resource] / _cby Alain Bensoussan, Jens Frehse, Phillip Yam.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aX, 128 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringerBriefs in Mathematics, _x2191-8198
505	0		_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.
520			_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.
650		0	_aMathematics.
650		0	_aDifferential equations, partial.
650		0	_aSystems theory.
650		0	_aDistribution (Probability theory).
650	1	4	_aMathematics.
650	2	4	_aSystems Theory, Control.
650	2	4	_aProbability Theory and Stochastic Processes.
650	2	4	_aPartial Differential Equations.
700	1		_aFrehse, Jens. _eauthor.
700	1		_aYam, Phillip. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461485070
830		0	_aSpringerBriefs in Mathematics, _x2191-8198
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-8508-7
912			_aZDB-2-SMA
999			_c96061 _d96061