Humanist Discussion Group, Vol. 16, No. 612.
Centre for Computing in the Humanities, King's College London
Submit to: firstname.lastname@example.org
Date: Fri, 11 Apr 2003 06:53:44 +0100
From: Willard McCarty <email@example.com>
Subject: new book on games
Introduction to the Theory of Cooperative Games
Institute of Mathematics and Center for Rationality and Interactive
Decision Theory, The Hebrew University of Jerusalem, Israel
Dept. of Economics, University of Southern Denmark, Odense, Denmark
THEORY AND DECISION LIBRARY C: -- 34
Introduction to the Theory of Cooperative Games systematically studies 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 bargaining set of NTU games. To each solution a
separate chapter is devoted, in which its properties are investigated in
full detail. Moreover, important variants are defined or even intensively
analyzed. Separate chapters cover continuity, dynamics, and geometric
properties of solutions of TU games. This study culminates in uniform and
coherent axiomatizations of all the foregoing solutions (excluding the
bargaining set). Except for the Shapley value such axiomatizations have not
appeared in any book. Moreover, Introduction to the Theory of Cooperative
Games contains a detailed analysis of the main results on cooperative games
without side payments. Such analysis is very limited or non-existent in the
existing literature on game theory.
This book is of interest to Game Theorists, Economists, Mathematicians and
Researchers in Operations Research, Political Science and Social Science.
Hardbound ISBN: 1-4020-7410-7 Date: June 2003 Pages: 388 pp.
EURO 129.00 / USD 126.00 / GBP 84.00
Dr Willard McCarty | Senior Lecturer | Centre for Computing in the
Humanities | King's College London | Strand | London WC2R 2LS || +44 (0)20
7848-2784 fax: -2980 || firstname.lastname@example.org
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