03972nam a22006255i 4500 978-3-031-74119-7 DE-He213 20251030114630.0 cr nn 008mamaa 241220s2024 sz | s |||| 0|eng d 9783031741197 978-3-031-74119-7 10.1007/978-3-031-74119-7 doi T57.6-.97 KJT bicssc KJMD bicssc BUS049000 bisacsh KJT thema KJMD thema Tsekrekos, Andrianos E. author. aut http://id.loc.gov/vocabulary/relators/aut 89252 Variational Inequalities in Management Science and Finance [electronic resource] : Modelling, Analysis, Numerics and Applications / by Andrianos E. Tsekrekos, Athanasios N. Yannacopoulos. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XIII, 179 p. 6 illus., 4 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda EURO Advanced Tutorials on Operational Research, 2364-6888 Modelling -- Analysis -- Numerics -- Applications. This book provides a rigorous introduction to the theory, computation, and applications of variational inequalities (VIs), with a focus on applications in management science and finance. It aims to bridge the gap between the abstract mathematical treatments of the subject and simplistic, non-rigorous approaches often used in financial economics or managerial literature. Building on fundamental examples of concrete applications drawn from management science and finance, the book gradually develops the connection between optimal stopping problems and variational inequalities. It provides precise results on their derivation, solution properties, and their use to derive optimal policies in general frameworks of stochastic factors driving the state processes. Emphasis is also placed on the numerical treatment and approximation of VIs. All technical results are illustrated in detail for the characteristic problems presented at the beginning as motivating examples. It also offers a brief introduction to more advanced topics, including VIs for multi-scale problems and VIs related to optimal stopping problems under model uncertainty. This book will be of interest to graduate students and researchers who wish for a quick, yet thorough introduction to the field. Practitioners who want to familiarise themselves with applications of VIs in management science and finance will also find this book useful. Operations research. 57943 Management science. 57941 Social sciences Mathematics. 69736 Mathematical optimization. 65522 Stochastic processes. 76770 Operations Research and Decision Theory. 67143 Operations Research, Management Science. 65527 Mathematics in Business, Economics and Finance. 69739 Optimization. 65528 Stochastic Processes. 76770 Yannacopoulos, Athanasios N. author. aut http://id.loc.gov/vocabulary/relators/aut 89253 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031741180 Printed edition: 9783031741203 Printed edition: 9783031741210 EURO Advanced Tutorials on Operational Research, 2364-6888 89254 https://doi.org/10.1007/978-3-031-74119-7 ZDB-2-BUM ZDB-2-SXBM 65885 65885