The Development of Mathematical Economics The Years of Transition: F
This sequel to the author's "Early Development in Mathematical Economics" covers developments in this field after the appearance of Cournot's "Recherches" in 1838 and until the publication of Jevons' "Theory" in 1871.
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Also by Reghinos D. Theocharis EARLY DEVELOPMENTS IN MATHEMATICAL ECONOMICS
The DevelopDlent of MatheDlatical Economics The Years of Transition: From Cournot to Jevons
Reghinos D. Theocharis Professor of Economics Athens University of Economics and Business, Athens
M
© Reghinos D. Theocharis 1993
Softcover reprint of the hardcover 18t edition 1993 All rights reserved. No reproduction, copy or transmission of this publication may be made without written permission. No paragraph of this publication may be reproduced, copied or transmitted save with written permission or in accordance with the provisions of the Copyright, Designs and Patents Act 1988, or under the terms of any licence permitting limited copying issued by the Copyright Licensing Agency, 90 Tottenham Court Road, London WI P 9HE. Any person who does any unauthorised act in relation to this publication may be liable to criminal prosecution and civil claims for damages. First published 1993 by THE MACMILLAN PRESS LTD Houndmills, Basingstoke, Hampshire RG21 2XS and London Companies and representatives throughout the world ISBN 978-1-349-12994-2 ISBN 978-1-349-12992-8 (eBook) DOI 10.1007/978-1-349-12992-8 A catalogue record for this book is available from the British Library.
Contents Preface
viii
PART I
1
1 Introduction 1.1 Mathematical economics before Cournot 1.2 Some neglected earlier authors 1.3 The contribution of Cournot to mathematical economics 2 Engineers and Mathematical Economics 2.1 Introductory remarks 2.2 Charles Ellet 2.3 The French engineers 2.4 D. Lardner and F. Jenkin 2.5 W. Launhardt 3 The 'Whewell Group' and the Use of the Mathematical Method 3.1 Introductory remarks 3.2 J. E. Tozer 3.3 John W. Lubbock 3.4 William Whewell 4 Karl Heinrich Rau on Curves and Market Areas 4.1 Introductory remarks 4.2 The use of mathematical formulas 4.3 Demand curves and supply curves 4.4 The theory of market areas 4.5 The equation of exchange 4.6 Other contributions 4.7 Concluding remarks PART II
3
3 4
18
20 20 21
40
77 97
104 104 104
109 126
148 148 148 149 155 161 163 164 165
5 Karl Heinrich Hagen and the Need for Free Trade 5.1 Introductory remarks 5.2 The necessity for free trade 5.3 The 'system of political economy' 5.4 Concluding remarks
v
167
167 167 175 177
vi
Contents
6 Johann Heinrich von Thunen and Marginal Analysis 6.1 Introductory remarks 6.2 The first volume of 'The Isolated State' 6.3 The second volume of 'The Isolated State' 6.4 The third volume of 'The Isolated State' 6.5 The criticism of the 'natural wage' formula 6.6 Concluding remarks 7 The Mathematical Treatment of Pleasure by Hermann Heinrich Gossen
7.1 7.2 7.3 7.4 7.5 7.6 7.7
Introductory remarks Gossen on the mathematical method The laws of pleasure and economic value The laws of labour disutility Gossen on exchange Other contributions Concluding remarks
178
178 178 179 192 192 196 198
198 198 199 207 210 213 213
8 Hans von Mangoldt on Price Theory 8.1 Introductory remarks 8.2 Mangoldt's price theory 8.3 The theory of international values 8.4 Conc
