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MFGs for Finite-State Models. / Kolokoltsov, Vassili N.; Malafeyev, Oleg A.
Springer Series in Operations Research and Financial Engineering. Springer Nature, 2019. стр. 111-118 (Springer Series in Operations Research and Financial Engineering).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › Рецензирование
}
TY - CHAP
T1 - MFGs for Finite-State Models
AU - Kolokoltsov, Vassili N.
AU - Malafeyev, Oleg A.
N1 - Publisher Copyright: © 2019, Springer Nature Switzerland AG. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2019
Y1 - 2019
N2 - In this chapter, we introduce the MFG framework for discrete state spaces, stressing the points that are most relevant for the models studied in the next chapters. As was already mentioned, the difference between the present MFG setting and the modeling of Part I is that now the small agents themselves become rational optimizers and are not supposed just to follow some prescribed deterministic or stochastic strategies (such as myopic behavior). For simplicity, in treating MFG we will exclusively use finite-state models and will not touch the extensions to countable state spaces, though the results of Chapter 4 allow one to extend large portions of the theory more or less directly to this more general framework.
AB - In this chapter, we introduce the MFG framework for discrete state spaces, stressing the points that are most relevant for the models studied in the next chapters. As was already mentioned, the difference between the present MFG setting and the modeling of Part I is that now the small agents themselves become rational optimizers and are not supposed just to follow some prescribed deterministic or stochastic strategies (such as myopic behavior). For simplicity, in treating MFG we will exclusively use finite-state models and will not touch the extensions to countable state spaces, though the results of Chapter 4 allow one to extend large portions of the theory more or less directly to this more general framework.
UR - http://www.scopus.com/inward/record.url?scp=85098065403&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-12371-0_5
DO - 10.1007/978-3-030-12371-0_5
M3 - Chapter
AN - SCOPUS:85098065403
T3 - Springer Series in Operations Research and Financial Engineering
SP - 111
EP - 118
BT - Springer Series in Operations Research and Financial Engineering
PB - Springer Nature
ER -
ID: 72679196