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Cooperative Games on Combinatorial Structures (Hardcover, 2000 ed.)
Loot Price: R4,472
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Cooperative Games on Combinatorial Structures (Hardcover, 2000 ed.)
Series: Theory and Decision Library C, 26
Expected to ship within 12 - 17 working days
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The aim of Cooperative Games on Combinatorial Structures is to
analyze conflict situations in which two or more players can make
coalitions and obtain prizes and penalties. This approach to
situations of competition and cooperation was given in the seminal
treatise by John von Neumann and Oskar Morgenstern, Theory of Games
and Economic Behavior. Cooperative game theory has succeeded in
providing many applications of game theory. In this volume, games
defined on combinatorial structures will be analyzed, i.e. a set
system over a set of players. In many situations the author will
work in a closure space. Examples of closure operators are the
spanning operator of linear algebra and all convex hull operators.
Chapters 1-4 constitute a review of mathematical concepts from
Cooperative Game Theory, Graph Theory, Linear and Integer
Programming, Combinatorial Optimization, Discrete Convex Analysis
and Computational Complexity. The table of contents is a short
guide to the topics and methods covered in this book. In Chapters
11 and 12, several notebooks are presented with the system
Mathematica by Wolfram in the contexts of the packages DiscreteMath
(Skiena) and Cooperative (Carter). There will also be found in the
book several research projects. These are intended to offer new
ideas that the reader should consider with caution. This book will
be of interest to graduate students with some experience in game
theory or mathematical programming and professional researchers in
game theory, operational research and its applications in economic
theory, and the political and social sciences. In addition, it will
be especially useful for professionals who are interested in models
for understanding and managing conflicts: management and
operational research scientists, political and military scientists,
and professional negotiators.
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