Salvadori, Neri (2010): Besicovitch, Sraffa, and the existence of the Standard commodity.
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Abstract
The proof of the existence of the Standard commodity contained in Sraffa's book (section 37) has been debated recently. Lippi (2008) has argued that the algorithm in section 37 of Sraffa’s book is not precisely stated and does not need to converge to the desired eigenvalue and eigenvector. In this paper I will show that also the proof provided by Besicovitch to Sraffa on 21 September 1944 is incomplete, but it can easily be completed.
Item Type:  MPRA Paper 

Original Title:  Besicovitch, Sraffa, and the existence of the Standard commodity 
English Title:  Besicovitch, Sraffa, and the existence of the Standard commodity 
Language:  English 
Keywords:  Sraffa; Besecovitch; Standard Commodity; PerronFrobenius Theorem 
Subjects:  B  History of Economic Thought, Methodology, and Heterodox Approaches > B3  History of Economic Thought: Individuals > B31  Individuals B  History of Economic Thought, Methodology, and Heterodox Approaches > B2  History of Economic Thought since 1925 > B23  Econometrics; Quantitative and Mathematical Studies B  History of Economic Thought, Methodology, and Heterodox Approaches > B2  History of Economic Thought since 1925 > B29  Other 
Item ID:  24188 
Depositing User:  Neri Salvadori 
Date Deposited:  02. Aug 2010 02:06 
Last Modified:  18. Feb 2013 16:09 
References:  Kurz, H. D. and Salvadori, N. (1993) The 'Standard Commodity' and Ricardo's Search for an 'invariable measure of value', in M. Baranzini e G. C. Harcourt (eds), The Dynamics of the Wealth of Nations. Growth, Distribution and Structural Change, London: Macmillan. Kurz, H. D. and Salvadori, N. (1995) Theory of Production, Cambridge: Cambridge UP. Kurz, H. D. and Salvadori, N. (2001) Sraffa and the Mathematicians: Frank Ramsey and Alister Watson, in T. Cozzi and R. Marchionatti (eds), Piero Sraffa's Political Economy. A Centenary Estimate, London and New York: Routledge, 25484. Lippi, M. (2008) Some observations on Sraffa and mathematical proofs, in G. Chiodi and L. Ditta (eds) Sraffa or an Alternative Economics, Houndmills: Palgrave Macmillan, pp. 24352. Salvadori, N. (2008) On a proof of Sraffa's, in G. Chiodi and L. Ditta (eds) Sraffa or an Alternative Economics, Houndmills: Palgrave Macmillan, pp. 2539. Sraffa, P. (1960) Production of Commodities by Means of Commodities, Cambridge: Cambridge UP. 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/24188 
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