The Index Number Problem And Its Solution
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The Index-Number Problem and Its Solution
Index numbers of price and quantity play an important role in the index-linking of government loans. The object of this study is to ascertain what formulae should be used in the construction of new index numbers to replace those known to produce biased measures of price and volume change.
The Index Number Problem
A theft amounting to £1 was a capital offence in 1260 and a judge in 1610 affirmed the law could not then be applied since £1 was no longer what it was. Such association of money with a date is well recognized for its importance in very many connections. Thus arises the need to know how to convert an amount at one date into the right amount at another date: in other words, a price index. The longstanding question concerning how such an index should be constructed is known as 'The Index Number Problem'. The ordinary consumer price index represents a practical response to this need. However the search for a true price index has given rise to extensive thought and theory to which an impressive number of economists have each contributed a word, or volume. However, there have been hold-ups at a basic level, which are addressed in this book. The approach brings the subject into involvement with utility construction on the basis of finite data, in a form referred to as 'Afriat's Theorem' but now with utility subject to constant (and also possibly approximate) returns.
The Making of Tests for Index Numbers
Author: Arthur Vogt
language: en
Publisher: Springer Science & Business Media
Release Date: 1997-04-14
Arthur Vogt has devoted a great deal of his scientific efforts to both person and work of Irving Fisher. This book, written with Jànos Barta, gives an excellent impression of Fisher's great contributions to the theory of the price index on the one hand. On the other hand, it continues Fisher's work on this subject along the lines which several authors drew with respect to price index theory since Fisher's death fifty years ago. "This is a highly instructive book on both the history and theory of measurement in economics. It is rather a rich source of interesting properties of more or less well known indices and famous men, especially Irving Fisher, than a precise mathematical text on the axiomatic foundations of indices." (From the Foreword by Wolfgang Eichhorn)