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Springer Undergraduate Mathematics Series
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Advisory Board
M.A.J. Chaplain University of Dundee
K. Erdmann Oxford University
A. MacIntyre Queen Mary, University of London
L.C.G. Rogers University of Cambridge
E. Süli Oxford University
J.F. Toland University of Bath
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James N. Webb
Game Theory
Decisions, Interaction and Evolution
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James N. Webb, BSc, PhD, CPhys, MInstP
Cover illustration elements reproduced by kind permission of:
Aptech Systems, Inc., Publishers of the GAUSS Mathematical and Statistical System, 23804 S.E. Kent-Kangley Road, Maple Valley, WA 98038, USA. Tel: (206)
432 - 7855 Fax (206) 432 - 7832 email: info@aptech.com URL: www.aptech.com.
American Statistical Association: Chance Vol 8 No 1, 1995 article by KS and KW Heiner ‘Tree Rings of the Northern Shawangunks’ page 32 fig 2.
Springer-Verlag: Mathematica in Education and Research Vol 4 Issue 3 1995 article by Roman E Maeder, Beatrice Amrhein and Oliver Gloor ‘Illustrated
Mathematics: Visualization of Mathematical Objects’ page 9 fig 11, originally published as a CD ROM ‘Illustrated Mathematics’ by TELOS: ISBN 0-387-
14222-3, German edition by Birkhauser: ISBN 3-7643-5100-4.
Mathematica in Education and Research Vol 4 Issue 3 1995 article by Richard J Gaylord and Kazume Nishidate ‘Traffic Engineering with Cellular Automata’
page 35 fig 2. Mathematica in Education and Research Vol 5 Issue 2 1996 article by Michael Trott ‘The Implicitization of a Trefoil Knot’ page 14.
Mathematica in Education and Research Vol 5 Issue 2 1996 article by Lee de Cola ‘Coins, Trees, Bars and Bells: Simulation of the Binomial Process’ page 19
fig 3. Mathematica in Education and Research Vol 5 Issue 2 1996 article by Richard Gaylord and Kazume Nishidate ‘Contagious Spreading’ page 33 fig 1.
Mathematica in Education and Research Vol 5 Issue 2 1996 article by Joe Buhler and Stan Wagon ‘Secrets of the Madelung Constant’ page 50 fig 1.
Mathematics Subject Classification (2000): 90C39; 90C40; 91A05; 91A06; 91A10; 91A13; 91A15; 91A18; 91A20; 91A22;
91A25; 91A30; 91A35; 91A40
British Library Cataloguing in Publication Data
A catalogue record for this book is available from the British Library
Library of Congress Control Number: 2006931002
Springer Undergraduate Mathematics Series ISSN 1615-2085
ISBN-10: 1-84628-423-6
e-ISBN-10: 1-84628-636-0
Printed on acid-free paper
ISBN-13: 978-1-84628-423-6
e-ISBN-13: 978-1-84628-636-0
© Springer-Verlag London Limited 2007
The right of James N. Webb to be identified as the author of this work has been asserted in accordance with Sections
77 and 78 of the Copyright Designs and Patents Act 1988.
Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under
the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any
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statement, that such names are exempt from the relevant laws and regulations and therefore free for general use.
The publisher makes no representation, express or implied, with regard to the accuracy of the information contained
in this book and cannot accept any legal responsibility or liability for any errors or omissions that may be made.
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