Probabilistic theory of mean field games with applications. II, Mean field games with common noise and master equations /
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Main Authors: | |
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Group Author: | |
Published: |
Springer,
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Publisher Address: | Cham, Switzerland : |
Publication Dates: | [2018] |
Literature type: | Book |
Language: | English |
Series: |
Probability theory and stochastic modelling,
volume 84 |
Subjects: | |
Carrier Form: | xxiv, 697 pages : illustrations ; 24 cm. |
Bibliography: | Includes bibliographical references (pages 665-679) and indexes. |
ISBN: |
9783030132590 9783319564357 3319564358 |
Index Number: | QC174 |
CLC: | O225 |
Call Number: | O225/C287/2 |
Contents: | Intro; Foreword; Preface of Volume II; Organization of the Book: Volume II Organigram; Contents; Contents of Volume I; Part I MFGs with a Common Noise; 1 Optimization in a Random Environment; 1.1 FBSDEs in a Random Environment; 1.1.1 Immersion and Compatibility; 1.1.2 Compatible Probabilistic Set-Up; More on the Compatibility Condition; 1.1.3 Kunita-Watanabe Decomposition and Definition of a Solution; New Formulation of the Forward-Backward System; Definition of a Solution; 1.2 Strong Versus Weak Solution of an FBSDE; 1.2.1 Notions of Uniqueness; 1.2.2 Canonical Spaces. |