Overview
Establishes a series of formulas, methods and properties of commonly used interval-valued solutions of interval-valued cooperative games
Presents improvements to modern interval-valued game theory and methods, including new linear programming models that surpass traditional and fuzzy optimizations
Proposes innovative game methods for interactive management problems with interval-valued data
Designed for readers across various disciplines
Includes supplementary material: sn.pub/extras
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Table of contents (3 chapters)
Keywords
About this book
This book proposes several commonly used interval-valued solution concepts of interval-valued cooperative games with transferable utility. It thoroughly investigates these solutions, thereby establishing the properties, models, methods, and applications. The first chapter proposes the interval-valued least square solutions and quadratic programming models, methods, and properties. Next, the satisfactory-degree-based non-linear programming models for computing interval-valued cores and corresponding bisection algorithm are explained. Finally, the book explores several simplification methods of interval-valued solutions: the interval-valued equal division and equal surplus division values; the interval-valued Shapley, egalitarian Shapley, and discounted Shapley values; the interval-valued solidarity and generalized solidarity values; and the interval-valued Banzhaf value.
This book is designed for individuals from different fields and disciplines, such as decision science, game theory, management science, operations research, fuzzy sets or fuzzy mathematics, applied mathematics, industrial engineering, finance, applied economics, expert system, and social economy as well as artificial intelligence. Moreover, it is suitable for teachers, postgraduates, and researchers from different disciplines: decision analysis, management, operations research, fuzzy mathematics, fuzzy system analysis, applied mathematics, systems engineering, project management, supply chain management, industrial engineering, applied economics, and hydrology and water resources.
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Bibliographic Information
Book Title: Models and Methods for Interval-Valued Cooperative Games in Economic Management
Authors: Deng-Feng Li
DOI: https://doi.org/10.1007/978-3-319-28998-4
Publisher: Springer Cham
eBook Packages: Economics and Finance, Economics and Finance (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-28996-0Published: 10 February 2016
Softcover ISBN: 978-3-319-80470-5Published: 30 March 2018
eBook ISBN: 978-3-319-28998-4Published: 02 February 2016
Edition Number: 1
Number of Pages: XVII, 137
Number of Illustrations: 3 b/w illustrations, 1 illustrations in colour
Topics: Game Theory, Artificial Intelligence, Game Theory, Economics, Social and Behav. Sciences, Supply Chain Management