Overview
- Provides timely overview of research trends in areas of mathematical programming and game theory
- Focuses on application of several mathematical models to problems in finance, games, economics and graph theory
- Discusses a balanced mixture of theory and applications of the topic
- Contains contributions by international experts in their relevant fields
Part of the book series: Indian Statistical Institute Series (INSIS)
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Table of contents (12 chapters)
Keywords
- Game Theory
- Linear and Nonlinear Programming
- Global Optimization
- Nonsmooth Optimization
- Complementarity and Variational Inequalities
- Combinatorial Optimization
- Optimization in Finance and Economics
- Multi-Objective Optimization
- Game Theoretical Applications
- Logistics
- Traffic and Transportation
- Optimization Problems in Graph Theory
About this book
Editors and Affiliations
About the editors
RAVINDRA B. BAPAT, Ph.D. from the University of Illinois at Chicago, is Professor at the Stat-Math Unit, Indian Statistical Institute, New Delhi. He had his schooling and undergraduate education in Mumbai. He obtained his B.Sc. degree from the University of Mumbai, and M.Stat. from the Indian Statistical Institute, New Delhi. After spending one year in Northern Illinois University in DeKalb, Illinois, and two years at the Department of Statistics, University of Mumbai, Professor Bapat joined the Indian Statistical Institute, New Delhi, in 1983. He held visiting positions at various universities in the U.S.A. and visited several institutes abroad in countries including France, Holland, Canada, China and Taiwan for collaborative research and seminars. The main areas of research interest of ProfessorBapat are nonnegative matrices, matrix inequalities, matrices in graph theory and generalized inverses. He has published more than 100 research papers in these areas in reputed national and international journals and guided several Ph.D. students. He has written books on Linear Algebra (co-published by Hindustan Book Agency, Springer and Cambridge University Press). He wrote a book on mathematics for the general reader, in Marathi, which won the state government award for 2004 for the Best Literature in Science.
Professor Bapat has been on the editorial boards of Linear and Multilinear Algebra, Electronic Journal of Linear Algebra, Indian Journal of Pure and Applied Mathematics and Kerala Mathematical Association Bulletin. He has been elected Fellow of the Indian Academy of Sciences, Bangalore, and the Indian National Science Academy, New Delhi. Professor Bapat served as the president of the Indian Mathematical Society during its centennial year 2007–2008. For the past several years, he has been actively involved with the Mathematics Olympiad Program in India and served as the national coordinator for the program. Professor Bapat served as the head, Indian Statistical Institute, Delhi Centre, during 2007–2011. He was awarded the J.C. Bose Fellowship in 2009.
DIPTI DUBEY is a post-doctoral fellow at the Indian Statistical Institute, New Delhi. A Ph.D. from the Indian Institute of Technology Delhi, her primary area of research is mathematical programming and game theory. She has published widely in several international journals of repute like Linear Algebra and Its Applications, Linear and Multilinear Algebra, Annals of Operations Research, Dynamic Games and Applications, Operations Research Letters and Fuzzy Sets and Systems. She is a reviewer of many international journals on optimization and Math reviews.
Bibliographic Information
Book Title: Mathematical Programming and Game Theory
Editors: S.K. Neogy, Ravindra B. Bapat, Dipti Dubey
Series Title: Indian Statistical Institute Series
DOI: https://doi.org/10.1007/978-981-13-3059-9
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2018
Hardcover ISBN: 978-981-13-3058-2Published: 07 December 2018
eBook ISBN: 978-981-13-3059-9Published: 28 November 2018
Series ISSN: 2523-3114
Series E-ISSN: 2523-3122
Edition Number: 1
Number of Pages: XIV, 226
Number of Illustrations: 12 b/w illustrations, 9 illustrations in colour
Topics: Game Theory, Economics, Social and Behav. Sciences, Optimization, Statistics and Computing/Statistics Programs