Authors:
- Introduces the fundamentals of non-cooperative games with fuzzy payoffs
- Describes novel methods to find the solution of real-life non-cooperative games
- Includes worked examples and solutions to problems
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 383)
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About this book
This book proposes novel methods for solving different types of non-cooperative games with interval/fuzzy/intuitionistic fuzzy payoffs. It starts by discussing several existing methods and shows that some mathematically incorrect assumptions have been considered in all these methods. It then proposes solutions to adapt those methods and validate the new proposed methods, such as Gaurika method Ambika-I-IV, Mehar method and others, by using them for solving existing numerical problems. The book offers a comprehensive guide on non-cooperative games with fuzzy payoffs to both students and researchers. It provides them with the all the necessary tools to understand the methods and the theory behind them.
Keywords
- Subjective Judgments
- Impreciseness in the Payoffs
- Fuzzy Matrix Games
- Matrix Game with Interval Payoffs
- Matrix Games with Intuitionistic Fuzzy Sets
- Interval Valued Matrix Games
- Gaurika Method
- Mehar Method
- Vaishnavi Method
- Ambika Methods
- Solving Bimatrix Games
- Exact Solution of Bimatrix Games
- Solving Interval Matrix Games
- Fuzzy Linear Programming Models
- Triangular Fuzzy Numbers
Authors and Affiliations
-
Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar, India
Tina Verma
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School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, India
Amit Kumar
Bibliographic Information
Book Title: Fuzzy Solution Concepts for Non-cooperative Games
Book Subtitle: Interval, Fuzzy and Intuitionistic Fuzzy Payoffs
Authors: Tina Verma, Amit Kumar
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/978-3-030-16162-0
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-16161-3Published: 18 April 2019
eBook ISBN: 978-3-030-16162-0Published: 09 April 2019
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 1
Number of Pages: XIII, 166
Number of Illustrations: 1 b/w illustrations
Topics: Computational Intelligence, Game Theory, Economics, Social and Behav. Sciences, Operations Research/Decision Theory, Optimization