Introduction to the Theory of Cooperative Games (Theory and Decision Library C) - Softcover

Peleg, Bezalel; Sudhölter, Peter

Softcover

ISBN 10: 140207784X ISBN 13: 9781402077845

Publisher: Springer, 2004

Synopsis

In this book we study systematically the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games, and the core, the Shapley value, and the ordinal barga- ing set of NTU games. To each solution we devote a separate chapter wherein we study its properties in full detail. Moreover, important va- ants are de?ned or even intensively analyzed. We also investigate in separate chapters continuity, dynamics, and geometric properties of - lutions of TU games. Our study culminates in uniform and coherent axiomatizations of all the foregoing solutions (excluding the bargaining set). It is our pleasure to acknowledge the help of the following persons and institutions. We express our gratitude to Michael Maschler for his - tailed comments on an early version, due to the ?rst author, of Chapters 2-8. We thank Michael Borns for the linguistic edition of the manuscript of this book. We are indebted to Claus-Jochen Haake, Sven Klauke, and Christian Weiß for reading large parts of the manuscript and sugge- ing many improvements. Peter Sudh¨ olter is grateful to the Center for Rationality and Interactive Decision Theory of the Hebrew University of Jerusalem and to the Edmund Landau Center for Research in Ma- ematical Analysis and Related Areas, the Institute of Mathematics of xv xvi PREFACE the Hebrew University of Jerusalem, for their hospitality during the a- demic year 2000-01 and during the summer of 2002.

About this title

About the Author

Bezalel Peleg is professor emeritus of mathematics and fellow of the Center for Rationality and Interactive Decision Theory of the Hebrew University of Jerusalem. He is a fellow of the Econometric Society and the author of Game Theoretic Analysis of Voting in Committees (1984). He published articles in various journals of mathematics, economic theory, social choice and welfare, game theory, and other fields. Peter Sudhölter is associate professor at the Department of Economics of the University of Southern Denmark at Odense. His list of publications indicates his interest in game theory with some emphasis on axiomatic approaches.

Edition details

• Publisher: Springer
• Publication date: 2004
• Language: English
• ISBN 10: 140207784X
• ISBN 13: 9781402077845
• Binding: Paperback
• Edition number: 1
• Number of pages: 380