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Optimization in Economics and Finance - Some Advances in Non-Linear.pdf

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文档介绍:OPTIMIZATION IN ECONOMICS AND FINANCE
Dynamic Modeling and Econometrics in Economics
and Finance
VOLUME 7
Series Editors
Stefan Mittnik, University of Kiel, Germany
Willi Semmler, University of Bielefeld, Germany and
New School for Social Research, .
The titles published in this series are listed at the end of this volume.
Optimization in Economics
and Finance
Some Advances in Non-Linear, Dynamic,
Multi-Criteria and Stochastic Models
by
BRUCE D. CRAVEN
University of Melbourne, VIC, Australia
and
SARDAR M. N. ISLAM
Victoria University, Melbourne, VIC, Australia
A . Catalogue record for this book is available from the Library of Congress.
ISBN 0-387-24279-1 (HB)
ISBN 0-387-24280-5 (e-book)
Published by Springer,
. Box 17, 3300 AA Dordrecht, herlands.
Sold and distributed in North, Central and South America
by Springer,
101 Philip Drive, Norwell, MA 02061, .
In all other countries, sold and distributed
by Springer,
. Box 322, 3300 AH Dordrecht, herlands.
Printed on acid-free paper
All Rights Reserved
© 2005 Springer
No part of this work may be reproduced, stored in a retrieval system, or transmitted
in any form or by any means, electronic, mechanical, photocopying, microfilming, recording
or otherwise, without written permission from the Publisher, with the exception
of any material supplied specifically for the purpose of being entered
and executed on puter system, for exclusive use by the purchaser of the work.
Printed in herlands.
v
Table ofContents
Preface ix
Acknowledgements and Sources of Materials xi
Chapter One: Introduction :
Optimal Models for Economics and Finance 1
Introduction 1
Welfare economics and social choice: modelling and applications 2
The objectives of this book 5
An example of an optimal control model 6
The structure of the book 7
Chapter Two: Mathematics of Optimal Control 9
Optimization and optimal control models 9