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2010 | OriginalPaper | Buchkapitel

12. Sraffa’s Standard Commodity: No Fulfillment of Ricardo’s Dream of an ‘Invariable Measure of Value’

verfasst von : Prof. Dr. Peter Flaschel

Erschienen in: Topics in Classical Micro- and Macroeconomics

Verlag: Springer Berlin Heidelberg

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Abstract

The construction of Sraffa’s Standard Commodity is often motivated by the claim that it allows to isolate the price-movements of any other commodity, so that they may be observed as in a vacuum. This chapter shows that (a) A specific and complete solution to the problem of finding the conditions for such a Standard is indeed available, yet that (b) Sraffa’s Standard does not fulfill this list of conditions. The source of Sraffa’s error is then isolated and the true set of ‘invariable measures’ is determined and shown to be devoid of economic content.

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Fußnoten
1
I am very grateful to E. Nell and B. Schefold for critical and helpful comments. The following Sect. 12.2 – as should be stressed – owes much to the presentation given in Schefold (1976, pp. 221–5), though my original motivation to reexamine Sraffa’s Chaps. 3 and 4 and the conclusions reached differ very much from those of B. Schefold, see also the preceding chapter as well as Flaschel (1986a,b).
 
2
See however Schefold’s comments and my reply in the Zeitschrift für die gesamte Staatswissenschaft, 142, 1986, 603ff. for a further discussion of the issues treated in this chapter.
 
3
All gross output levels are set equal to one here and in the following.
 
4
For further details, cf. Pasinetti (1977), Chap.​ 5.
 
5
cf. Flaschel (1984) and here Chap.​ 11.
 
6
Furthermore, it is simply not true that ‘the particular proportions of the Standard Commodity …aid in comprehension of the connection that exists between changes in the distribution of income and the system of relative prices’ as is argued in Roncaglia (1978, p. 75). With respect to our example this would mean that the expression
$$p = \left ( \frac{10 + r} {14 + 2r},\; \frac{12 + 3r} {14 + 2r}\right )$$
should give an aid in comprehending the originally given prices:
$$p = \left ( \frac{10 + r} {14 + 3r},\; \frac{12 + 3r} {14 + 3r}\right )$$
(pd = 1 in the first and p(eAe) = 1 in the second case).
 
7
For further (equivalent) properties, cf. Miyao (1977).
 
8
We neglect here minor problems of non-uniqueness (cf. Miyao (1977) in this regard).
 
9
This fact is ignored most explicitly in Bacha et al. (1977, p. 45), there leading to the absurd conclusion – not supported by Sraffa – that the price of the Standard Commodity is ‘completely independent of changes in income distribution.’
 
10
For consequences of this property, cf. Miyao (1977).
 
11
Following Miyao (1977) we shall assume for simplicity that A is irreducible.
 
Literatur
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Zurück zum Zitat Burmeister, E. (1984). Sraffa, labor theories of value and the economics of real wage determination. Journal of Political Economy, 92, 508–526CrossRef Burmeister, E. (1984). Sraffa, labor theories of value and the economics of real wage determination. Journal of Political Economy, 92, 508–526CrossRef
Zurück zum Zitat Flaschel, P. (1984). The standard commodity and the theory of income distribution. A critical note. Australian Economic Papers, 23, 123–129 Flaschel, P. (1984). The standard commodity and the theory of income distribution. A critical note. Australian Economic Papers, 23, 123–129
Zurück zum Zitat Flaschel, P. (1986a). Sraffa’s standard commodity: No fulfillment of Ricardo’s dream of an ‘invariable measure of value’. Zeitschrift füer die Gesamte Staatswissenschaft, 142, 588–602 Flaschel, P. (1986a). Sraffa’s standard commodity: No fulfillment of Ricardo’s dream of an ‘invariable measure of value’. Zeitschrift füer die Gesamte Staatswissenschaft, 142, 588–602
Zurück zum Zitat Flaschel, P. (1986b). The standard commodity as a tool of economic analysis: A reply to Schefold. Zeitschrift füer die Gesamte Staatswissenschaft, 142, 623–625 Flaschel, P. (1986b). The standard commodity as a tool of economic analysis: A reply to Schefold. Zeitschrift füer die Gesamte Staatswissenschaft, 142, 623–625
Zurück zum Zitat Miyao, T. (1977). A generalization of Sraffa’s standard commodity and its complete characterization. International Economic Review, 18, 151–162CrossRef Miyao, T. (1977). A generalization of Sraffa’s standard commodity and its complete characterization. International Economic Review, 18, 151–162CrossRef
Zurück zum Zitat Pasinetti, L. (1977). Lectures on the theory of production. London: Macmillan Pasinetti, L. (1977). Lectures on the theory of production. London: Macmillan
Zurück zum Zitat Roncaglia, A. (1978). Sraffa and the theory of prices. Chichester: Wiley Roncaglia, A. (1978). Sraffa and the theory of prices. Chichester: Wiley
Zurück zum Zitat Samuelson, P. (1983). Durable capital inputs: Conditions for price ratios to be invariant to profit-rate changes. Zeitschrift für Nationalökonomie, 43, 1–20CrossRef Samuelson, P. (1983). Durable capital inputs: Conditions for price ratios to be invariant to profit-rate changes. Zeitschrift für Nationalökonomie, 43, 1–20CrossRef
Zurück zum Zitat Sraffa, P. (1960). Production of commodities by means of commodities. London: Cambridge University Press Sraffa, P. (1960). Production of commodities by means of commodities. London: Cambridge University Press
Zurück zum Zitat Sraffa, P. (1970). The works and correspondence of David Ricardo, I., London: Cambridge University Press Sraffa, P. (1970). The works and correspondence of David Ricardo, I., London: Cambridge University Press
Zurück zum Zitat Schefold, B. (1976). P. Sraffa: Warenproduktion mittels Waren. Frankfurt a.M.: Suhrkamp Schefold, B. (1976). P. Sraffa: Warenproduktion mittels Waren. Frankfurt a.M.: Suhrkamp
Zurück zum Zitat Schefold, B. (1986). The standard commodity as a tool of economic analysis: A comment on Flaschel. Zeitschrift füer die Gesamte Staatswissenschaft, 142, 603–622 Schefold, B. (1986). The standard commodity as a tool of economic analysis: A comment on Flaschel. Zeitschrift füer die Gesamte Staatswissenschaft, 142, 603–622
Zurück zum Zitat Steedman, I. (1979). On an alleged inconsistency in Sraffa’s economics. Capital and class, 9, 71–74CrossRef Steedman, I. (1979). On an alleged inconsistency in Sraffa’s economics. Capital and class, 9, 71–74CrossRef
Metadaten
Titel
Sraffa’s Standard Commodity: No Fulfillment of Ricardo’s Dream of an ‘Invariable Measure of Value’
verfasst von
Prof. Dr. Peter Flaschel
Copyright-Jahr
2010
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-00324-0_12