Fuzzy Cooperative Games

Cooperation with Vague Expectations

Milan Mares (Autor)

Buch | Hardcover

XII, 177 Seiten

2001
Physica (Verlag)
978-3-7908-1392-0 (ISBN)

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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.

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.

Erscheint lt. Verlag	6.6.2001
Reihe/Serie	Studies in Fuzziness and Soft Computing
Zusatzinfo	XII, 177 p.
Verlagsort	Heidelberg
Sprache	englisch
Maße	152 x 229 mm
Gewicht	392 g
Themenwelt	Wirtschaft ► Allgemeines / Lexika
Themenwelt	Wirtschaft ► Volkswirtschaftslehre ► Ökonometrie
Schlagworte	Coalitional Cooperation • Decisionn-Making Theory • Fuzziness • fuzzy • Fuzzy games • Fuzzy-Logik • Fuzzy-Logik / Unscharfe Logik • Game Theory • linear algebra • Sets • Spieltheorie (mathemat.)
ISBN-10	3-7908-1392-3 / 3790813923
ISBN-13	978-3-7908-1392-0 / 9783790813920
Zustand	Neuware