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Piero Sraffa - Free

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142 <strong>Piero</strong> <strong>Sraffa</strong>various pieces of research refining and developing his analysis of therelationships connecting relative prices to income distribution.Leaving aside a long stream of reviews (some of which raise importantissues), 5 the first writings on <strong>Sraffa</strong>’s book addressed the translation of hisanalysis into mathematical terms. 6 The idea of substituting the assumptionof a set of sectoral profit rates for <strong>Sraffa</strong>’s assumption of a uniform rateof profits, first suggested by Sylos Labini, was discussed and developed ina long stream of articles. 7 A problem raised by Newman (1962), the possibilityof non-positive prices for non-basic commodities, is tackled in anexchange of letters between <strong>Sraffa</strong> and Newman himself and in a few otherwritings. 8 The distinction between basic and non-basic commodities iswidely debated, to the extent of considering its applicability to actual problemsof planning. 9 A number of writings focus on the standard commodity,including mathematical specification of its properties, 10 some attempts atgeneralising it 11 and especially its use in solving the problem of transformationof labour values into production prices (cf. earlier, § 5.5).During the 1970s the focus of the work of analytically deepening<strong>Sraffa</strong>’s analysis shifts from the first to the second and third part of<strong>Sraffa</strong>’s book. Two mathematical treatments of joint production aregiven by Lippi (1979) and Schefold (1989). 12 The latter then developsspecific aspects, mainly concerning the choice of techniques andtechnical change, in a series of articles now collected in Schefold (1997).5For a survey of the book reviews on Production of Commodities, cf. Bellino (2008);cf. earlier, § 6.2, for <strong>Sraffa</strong>’s reaction to Harrod’s 1961 review.6Cf. Newman (1962), for the case of simple production; Manara (1968), forthe case of joint production; cf. then the wide treatments of Pasinetti (1975),Abraham-Frois and Berrebi (1976), and, more recently, the careful analysis byKurz and Salvadori (1995).7Let us recall here Parrinello (1982b) and Steedman (1989, Chapter 6). On thisand other issues touched on in this section, cf. the bibliography in Roncaglia(1975), which in its English edition lists the works associated with the variousaspects of the Sraffian analysis published up to 1977. Cf. also the readings editedby Pasinetti (1977), Steedman (1988), Salvadori and Steedman (1990).8Cf. earlier, § 4.8. The exchange of letters between <strong>Sraffa</strong> and Newman ispublished in Bharadwaj (1989), Chapter 11.9For a concise survey and evaluation of this debate, cf. Roncaglia (1990c),which also provides an assessment of the relevance of <strong>Sraffa</strong>’s analysis to appliedeconomics.10Among the earliest contributions, cf. Newman (1962), Blackley and Gossling(1967).11Cf. for instance Miyao (1977).12This book includes Schefold’s PhD thesis, ‘Mr <strong>Sraffa</strong> on joint production’,which circulated in mimeo since 1970.The <strong>Sraffa</strong> Legacy 143These writings are important not only for their analytical results butalso for the idea that <strong>Sraffa</strong>’s analysis provides a better basis than traditionaltheory for the study of important practical issues, such as technologicalchange, the energy issue and environmental issues. 13The treatment of fixed capital and rent is developed and discussed ina long stream of articles. 14 The subsystem method, presented by <strong>Sraffa</strong> ina short appendix to his book (<strong>Sraffa</strong> 1960: 89), and characterised by thefact that through a notional partition of the economy it obtains a surplusconsisting of a single commodity, also received immediate attention. 15As reconstructed by Pasinetti in terms of vertically integrated sectors, itcame recently to be used as a tool for empirical analyses of productiveinter-relations within the economy. 16 On the choice of techniques, apartfrom the debate raised by Levhari’s 1965 article, recalled earlier (§ 6.4),we may also mention Bharadwaj (1989, Chapter 11), showing that themaximum number of points of ‘switch of techniques’ is equal to thenumber of basic commodities in the system: an important result, whichexplains the apparent rarity of reswitching in numerical examples with asmall number of commodities.A debate on the interpretation and the limits of <strong>Sraffa</strong>’s analysisstarted in the late 1970s, revolving about the choice of techniques, especiallywith reference to the case of joint production. More specifically,Steedman (1980a), followed – as pointed out by Salvadori himself, andcontrary to what the year of publication indicates – by Salvadori (1979a),showed that the assumption of constant returns to scale is necessaryfor the treatment of the choice of techniques presented in Part Threeof <strong>Sraffa</strong> (1960); also, in the case of joint production difficulties arise inidentification of the cost minimising technology. 17 These results, and inparticular the latter point, lead Salvadori to suggest a blending of <strong>Sraffa</strong>’s(1960) and von Neumann’s (1945–6) approaches, and a generalisation ofthe ‘equations approach’ into a ‘weak inequalities approach’. 1813Cf. also the essays collected in Pasinetti (1977), in Salvadori and Steedman(1990), Schefold (2004).14A number of papers on fixed capital are collected in Salvadori (1981). On thetheory of rent let us recall at least Quadrio Curzio (1967, 1977); Montani (1972);Kurz (1990, Chapter 6).15Cf. Harcourt and Massaro (1964), Zaghini (1967), and especially Pasinetti(1973).16Cf. Momigliano and Siniscalco (1982, 1984).17Cf. Salvadori (1979b, 1982), and, independently, Bidard (1984).18Cf. Salvadori (1979b, introduction to 1981, 1982: 295, and in particular 1985);among subsequent contributions, cf. Kurz and Salvadori (1995, Chapter 13).

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