Appl Math Optim (2016) 74:455–457 DOI 10.1007/s00245-016-9396-7 1,2 3 Alain Bensoussan · François Delarue Published online: 15 November 2016 © Springer Science+Business Media New York 2016 This special issue of the journal Applied Mathematics and Optimization is the ﬁrst of a two-part volume dedicated to the recent advances on mean ﬁeld games and, more generally, on large population stochastic control problems. The topic has been knowing a surge of interest since the pioneering works of Lasry and Lions and of Huang, Caines and Malhamé published 10 years ago. There must be several reasons for explaining such a growing interest, among which the following two ones. First, the concept may be applied to various areas, including economy and ﬁnance, but also biology or social sciences... Second, the mathematical analysis raises numerous challenging theoretical questions. Remarkably, the study of mean ﬁeld games appeal to several topics in mathematics and applied mathematics, such as optimization and game theory, partial differential equations, probability theory, optimal transportation, or scientiﬁc computing... Cer- tainly, the fact that the broad of tools involved in the analysis is so wide is another reason why the ﬁeld has become so popular over the last few years. To wit, the
Applied Mathematics and Optimization – Springer Journals
Published: Nov 15, 2016
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