Fuzzy Cooperative Games: Cooperation with Vague Expectations / Edition 1

Fuzzy Cooperative Games: Cooperation with Vague Expectations / Edition 1

by Milan Mares
     
 

View All Available Formats & Editions

ISBN-10: 3790824895

ISBN-13: 9783790824896

Pub. Date: 12/15/2010

Publisher: Physica-Verlag HD

The present book deals with coalition games in which expected pay-offs are only vaguely known. In fact, this idea about vagueness of expectations ap­ pears to be adequate to real situations in which the coalitional bargaining anticipates a proper realization of the game with a strategic behaviour of players. The vagueness being present in the expectations of

Overview

The present book deals with coalition games in which expected pay-offs are only vaguely known. In fact, this idea about vagueness of expectations ap­ pears to be adequate to real situations in which the coalitional bargaining anticipates a proper realization of the game with a strategic behaviour of players. The vagueness being present in the expectations of profits is mod­ elled by means of the theory of fuzzy set and fuzzy quantities. The fuzziness of decision-making and strategic behaviour attracts the attention of mathematicians and its particular aspects are discussed in sev­ eral works. One can mention in this respect in particular the book "Fuzzy and Multiobjective Games for Conflict Resolution" by Ichiro Nishizaki and Masatoshi Sakawa (referred below as [43]) which has recently appeared in the series Studies in Fuzziness and Soft Computing published by Physica-Verlag in which the present book is also apperaing. That book, together with the one you carry in your hands, form in a certain sense a complementary pair. They present detailed views on two main aspects forming the core of game theory: strategic (mostly 2-person) games, and coalitional (or cooperative) games. As a pair they offer quite a wide overview of fuzzy set theoretical approaches to game theoretical models of human behaviour.

Product Details

ISBN-13:
9783790824896
Publisher:
Physica-Verlag HD
Publication date:
12/15/2010
Series:
Studies in Fuzziness and Soft Computing Series, #72
Edition description:
Softcover reprint of hardcover 1st ed. 2001
Pages:
177
Product dimensions:
6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

1 Introduction.- 2 Fuzzy Quantities.- 3 Deterministic Coalition Games.- 4 Vagueness and Its Processing.- 5 Fuzzy Additivity and Related Topics.- 6 Fuzzy Core and Effective Coalitions.- 7 Fuzzy Convexity.- 8 Fuzzy Balancedness.- 9 Fuzzy Shapley Value.- 10 Fuzzy Superoptimum.- 11 Fuzzy and Imputational Additivity-Like Relations.- 12 Fuzzy Core and Effectivity in Games Without Side-Payments.- 13 Linear Coalition Games.- 14 A Modified Model of Domination and Superoptimum.- 15 Strategic Background of Fuzzy Cooperation.- 16 Generation of Fuzzy Quantities.- V Concluding Remarks.- References.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >