Models for Cooperative Games with Fuzzy Relations among the Agents

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.

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

Inhalt
Cooperative Games.- Fuzzy Coalitions and Fuzziness of Games.- Games with a Fuzzy Bilateral Relation among the Players.- Fuzzy Communication.- A Priori Fuzzy Unions .- Fuzzy Permission.