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Titlebook: Probabilistic Theory of Mean Field Games with Applications II; Mean Field Games wit René Carmona,Fran?ois Delarue Book 2018 Springer Intern

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發(fā)表于 2025-3-21 18:29:59 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Probabilistic Theory of Mean Field Games with Applications II
副標(biāo)題Mean Field Games wit
編輯René Carmona,Fran?ois Delarue
視頻videohttp://file.papertrans.cn/757/756832/756832.mp4
概述First comprehensive presentation of state of the art theory of mean field games with special emphasis on the probabilistic approach.Numerous applications with explicit examples including numerical sol
叢書名稱Probability Theory and Stochastic Modelling
圖書封面Titlebook: Probabilistic Theory of Mean Field Games with Applications II; Mean Field Games wit René Carmona,Fran?ois Delarue Book 2018 Springer Intern
描述.This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications. The book is self-contained in nature and includes original material and applications with explicit examples throughout, including numerical solutions...Volume II tackles the analysis of mean field games in which the players are affected by a common source of noise. The first part of the volume introduces and studies the concepts of weak and strong equilibria, and establishes general solvability results. The second part is devoted to the study of the master equation, a partial differential equation satisfied by the value function of the game over the space of probability measures. Existence of viscosity and classical solutions are proven and used to study asymptotics of games with finitely many players..Together, both Volume I and Volume II will greatly benefit mathematical graduate students and researchers interested in mean field games. The authors provide a detailed road map through the book allowing different access points for different readers and building up the level of technical detail. The accessible approach and overview will allow interest
出版日期Book 2018
關(guān)鍵詞Mean Field Games; Mean Field Control; Master Equations; Forward Backward Stochastic Differential Equati
版次1
doihttps://doi.org/10.1007/978-3-319-56436-4
isbn_softcover978-3-030-13259-0
isbn_ebook978-3-319-56436-4Series ISSN 2199-3130 Series E-ISSN 2199-3149
issn_series 2199-3130
copyrightSpringer International Publishing AG, part of Springer Nature 2018
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:50:11 | 只看該作者
2199-3130 uthors provide a detailed road map through the book allowing different access points for different readers and building up the level of technical detail. The accessible approach and overview will allow interest978-3-030-13259-0978-3-319-56436-4Series ISSN 2199-3130 Series E-ISSN 2199-3149
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978-3-030-13259-0Springer International Publishing AG, part of Springer Nature 2018
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Probabilistic Theory of Mean Field Games with Applications II978-3-319-56436-4Series ISSN 2199-3130 Series E-ISSN 2199-3149
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發(fā)表于 2025-3-22 19:02:55 | 只看該作者
René Carmona,Fran?ois DelarueFirst comprehensive presentation of state of the art theory of mean field games with special emphasis on the probabilistic approach.Numerous applications with explicit examples including numerical sol
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Optimization in a Random Environmentme. By?necessity, we revisit the basic tools introduced in Chapters?(Vol I)-3 and (Vol I)-4 for mean field games without common noise, and in particular, the theory of forward-backward stochastic differential equations and its connection with optimal stochastic control. Our goal is to investigate op
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發(fā)表于 2025-3-23 09:37:59 | 只看該作者
MFGs with a Common Noise: Strong and Weak Solutionsy many player games from which the mean field game is derived, the states of the individual players are subject to correlated noise terms. In a typical model, each individual player feels an idiosyncratic noise as well as random shocks common to all the players. At the level of the mathematical anal
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