文档介绍：Decision Making using
Game Theory
An introduction for managers
Anthony Kelly
Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo
Cambridge University Press
The Edinburgh Building, Cambridge , United Kingdom
Published in the United States of America by Cambridge University Press, New York
Information on this title: 0521814621
© Cambridge University Press 2003
This book is in copyright. Subject to statutory exception and to the provision of
relevant collective licensing agreements, no reproduction of any part may take place
without the written permission of Cambridge University Press.
First published in print format 2003
isbn-13- 978-0-511-06494-4 eBook (NetLibrary)
isbn-10- 0-511-06494-2 eBook (NetLibrary)
isbn-13- 978-0-521-81462-1 hardback
isbn-10- 0-521-81462-6 hardback
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Contents
Preface ix
1 Introduction 1
Terminology 3
Classifying games 6
A brief history of game theory 8
Layout 14
2 Games of skill 17
Linear programming, optimisation and basic calculus 18
The Lagrange method of partial derivatives 27
3 Games of chance 32
An introduction to basic probability theory 33
Games of chance involving risk 37
Games of chance involving uncertainty 45
v
Contents
vi
4 Sequential decision making and cooperative games of
strategy 48
Representing sequential decision making 49
Sequential decision making in single-player games 52
Sequential decision making in two-player and multi-player games 66
Cooperative two-person games 72
5 Two-person zero-sum games of strategy 77
Representing zero-sum games 78
Games with saddle points 80
Games with no saddle points 86
Large matrices generally