Models and Methods for Interval-Valued Cooperative Games in Economic Management

Authors: Li, Deng-Feng

  • 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
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eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-28998-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-319-28996-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Reviews

“Through its three chapters, this book expands cooperative games, theoretically, from point-valued to interval-valued ones. … This book presents a good example of expanding existing knowledge with interval methods in addition to many other successful applications of interval computing. … this book can be a good reference for those who are interested in bringing interval computing as an additional tool into their computing practice in any field.” (Computing Reviews, June, 2017)


Table of contents (3 chapters)

  • The Interval-Valued Least Square Solutions of Interval-Valued Cooperative Games

    Li, Deng-Feng

    Pages 1-43

  • Satisfactory Interval-Valued Cores of Interval-Valued Cooperative Games

    Li, Deng-Feng

    Pages 45-67

  • Several Interval-Valued Solutions of Interval-Valued Cooperative Games and Simplified Methods

    Li, Deng-Feng

    Pages 69-137

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-28998-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-319-28996-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Models and Methods for Interval-Valued Cooperative Games in Economic Management
Authors
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-28998-4
DOI
10.1007/978-3-319-28998-4
Hardcover ISBN
978-3-319-28996-0
Edition Number
1
Number of Pages
XVII, 137
Number of Illustrations and Tables
3 b/w illustrations, 1 illustrations in colour
Topics