Overview
- Offers a timely report to cooperative games with fuzzy coalitions structures
- Extends the Shapley value from classical models of cooperation to fuzzy set-based models
- Discusses new methods in a general application context
- Includes illustrative examples for all the models and concepts proposed
- Includes supplementary material: sn.pub/extras
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 355)
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Table of contents (6 chapters)
Keywords
- Fuzzy Cooperation Structures
- Fuzzy Coalitions
- Value for Games
- Shapley Value
- Games with Transferable Utility
- Fuzzy Unions
- Fuzzy Permission Structures
- Fuzzy Communication Structures
- Coalitional Models
- Aumann-Dreze Model
- Myerson Model
- Fuzzy Games
- Hierarchical Structures
- Hierarchical Fuzzy Permission Structures
- Local Fuzzy Permission Value
- Fuzzy Permission Values
- Fuzzy Coercive Value
About this book
This book offers a comprehensive introduction to cooperative game theory and a practice-oriented reference guide to new models and tools for studying bilateral fuzzy relations among several agents or players. It introduces the reader to several fuzzy models, each of which is first analyzed in the context of classical games (crisp games) and subsequently in the context of fuzzy games. Special emphasis is given to the value of Shapley, which is presented for the first time in the context of fuzzy games.
Students and researchers will find here a self-contained reference guide to cooperative fuzzy games, characterized by a wealth of examples, descriptions of a wide range of possible situations, step-by-step explanations of the basic mathematical concepts involved, and easy-to-follow information on axioms and properties.
Authors and Affiliations
Bibliographic Information
Book Title: Models for Cooperative Games with Fuzzy Relations among the Agents
Book Subtitle: Fuzzy Communication, Proximity Relation and Fuzzy Permission
Authors: Andrés Jiménez-Losada
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/978-3-319-56472-2
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-56471-5Published: 21 April 2017
Softcover ISBN: 978-3-319-85919-4Published: 25 July 2018
eBook ISBN: 978-3-319-56472-2Published: 11 April 2017
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 1
Number of Pages: XIX, 260
Number of Illustrations: 34 b/w illustrations, 18 illustrations in colour
Topics: Computational Intelligence, Game Theory, Economics, Social and Behav. Sciences, Game Theory, Artificial Intelligence