000			02013nam 2200349| 4500
001			84965
005			20210705093034.0
010			_a978-3-319-38934-9 _dcompra
090			_a84965
100			_a20190128d2016 k||y0pory50 ba
101			_aeng
102			_aCH
200			_aRegularity theory for mean-field game systems _bDocumento eletrónico _fDiogo A. Gomes, Edgard A. Pimentel, Vardan Voskanyan
210			_aCham _cSpringer International Publishing _d2016
215			_aXIV, 156 p. _cil.
225			_aSpringerBriefs in Mathematics
300			_aColocação: Online
303			_aBeginning with a concise introduction to the theory of mean-field games (MFGs), this book presents the key elements of the regularity theory for MFGs. It then introduces a series of techniques for well-posedness in the context of mean-field problems, including stationary and time-dependent MFGs, subquadratic and superquadratic MFG formulations, and distinct classes of mean-field couplings. It also explores stationary and time-dependent MFGs through a series of a-priori estimates for solutions of the Hamilton-Jacobi and Fokker-Planck equation. It shows sophisticated a-priori systems derived using a range of analytical techniques, and builds on previous results to explain classical solutions. The final chapter discusses the potential applications, models and natural extensions of MFGs. As MFGs connect common problems in pure mathematics, engineering, economics and data management, this book is a valuable resource for researchers and graduate students in these fields.
410			_x2191-8198
606			_aTeoria dos jogos
606			_aTeoria dos sistemas
606			_aTeoria económica
680			_aQA269
700			_aGomes _bDiogo A.
701			_934149 _aPimentel _bEdgard A. _4070
701			_934150 _aVoskanyan _bVardan _4070
801			_gRPC _aPT
856			_uhttps://doi.org/10.1007/978-3-319-38934-9
942			_2lcc _cF _n0