WICKSELL on WALRAS's EARLY TREATMENT of CAPITAL and INTEREST by ANDREA IMPERIA1, VINCENZO MAFFEO2 and FABIO RAVAGNANI3 Abstract

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WICKSELL on WALRAS's EARLY TREATMENT of CAPITAL and INTEREST by ANDREA IMPERIA1, VINCENZO MAFFEO2 and FABIO RAVAGNANI3 Abstract WICKSELL ON WALRAS'S EARLY TREATMENT OF CAPITAL AND INTEREST BY ANDREA IMPERIA1, VINCENZO MAFFEO2 AND FABIO RAVAGNANI3 Abstract In this paper we examine the criticism that Knut Wicksell advanced against Walras’s treatment of capital and interest at the end of the nineteenth century, as well as the views of two distinguished followers of Walras concerning the points raised by the Swedish economist. As regards the first aspect, it should be noted that the criticism put forward by Wicksell at that time refers to the earlier editions of the Éléments, in which circulating capital is excluded from the analysis. We thus endeavour to clarify Wicksell’s remarks on the consequences of that exclusion for both the representation of the social production process and the determination of the interest rate. As to the second aspect, our discussion indicates that the appropriate way of treating the capitalistic element of production was an unsettled issue within the small circle of Walras’s followers at the end of the nineteenth century. 1: Department of Social and Economic Sciences, Sapienza University of Rome, Rome, Italy. Email: [email protected]. 2: Department of Social and Economic Sciences, Sapienza University of Rome, Rome, Italy. Email: [email protected]. 3: Department of Economics and Law, Sapienza University of Rome, Rome, Italy. E-mail: [email protected]. This “preprint” is the peer-reviewed and accepted typescript of an article that is forthcoming in revised form, after minor editorial changes, in the Journal of the History of Economic Thought (ISSN: 1053-8372), volume 40 (2018), issue TBA. Copyright to the journal’s articles is held by the History of Economics Society (HES), whose exclusive licensee and publisher for the journal is Cambridge University Press (https://www.cambridge.org/core/journals/journal-of-the- history-of-economic-thought ). This preprint may be used only for private research and study and is not to be distributed further. The preprint may be cited as follows: Imperia, Andrea, Maffeo, Vincenzo, and Ravagnani, Fabio. “Wicksell on Walras’s Early Treatment of Capital and Interest.” Journal of the History of Economic Thought 40 (forthcoming). Preprint at SocArXiv, osf.io/preprints/socarxiv 2 1. Introduction Among the scholars of his time, Knut Wicksell was one of those who devoted more attention to Walras’s theory of capital and interest. As is known, for a long time he was highly critical of the French economist in that respect (cf., for example, Stigler 1948, pp. 252-254). In this paper we examine the criticism that Wicksell advanced against Walras’s treatment of capital and interest at the end of the nineteenth century, as well as the views of two distinguished followers of Walras concerning the points raised by Wicksell. As regards the first aspect, it should be noted that the criticism put forward by Wicksell at that time refers to the second and third edition of the Éléments, in which circulating capital is excluded from the analysis. We thus endeavour to clarify Wicksell’s remarks on the consequences of that exclusion for both the representation of the social production process and the determination of the interest rate. As to the second aspect, our discussion indicates that the appropriate way of treating the capitalistic element of production within the context of general equilibrium analysis was an unsettled issue among Walras’s followers at the end of the nineteenth century. The paper is organised as follows. Section 2 examines the critical assessment of Walras’s theory of capital and interest as put forward by Wicksell in Value, Capital and Rent (1893). Section 3 discusses Vilfredo Pareto’s views on one of the points raised by Wickell, as they emerge from the first volume of the Cours d’Economie Politique (1896), and Enrico Barone’s (1895, 1896) reply to Wicksell (a letter by Barone to Wicksell concerning this reply is reproduced, for the first time in its wholeness, in the Appendix). Section 4 documents the persistence of Wicksell’s criticism after Barone’s reply and offers an interpretation for this fact. Section 5 draws conclusions. 2. Wicksell’s early assessment of Walras’s theory of capital and interest: Value, Capital and Rent (1893) 2.1 Wicksell’s position on capital and distribution In Value, Capital and Rent, Wicksell (1893, p. 94) ascribes to Walras the merit of having made, through “the equations of production”, the only successful attempt “to 3 do justice of [the] reciprocal relations” between the price and the cost of production of commodities; in other words, the merit of having treated those relations from the perspective of general economic equilibrium. At the same time, however, he contends that Walras’s concept of capital is “old-fashioned and one-sided” (1893, p. 21) and that the Walrasian analysis of production, distribution and exchange needs to be completed with Böhm-Bawerk’s theory of capital.1 As Wicksell points out, Böhm-Bawerk’s theory starts from the premise that production requires time. Capital is seen, in its essence, as a fund of means of subsistence that are advanced to workers and landowners for the whole period in which labour and land are employed directly and indirectly in the production of final consumer goods. At any given moment in time, this fund mostly appears in the economy in the form of raw materials, unfinished products and other capital goods that will be gradually transformed into consumption goods (Wicksell 1893, pp. 115- 116). In Wicksell’s (and Böhm-Bawerk’s) view, more indirect production methods are associated with longer periods of production. Moreover, it is held that the output per unit of labour increases with the length of the production period. Thus, the role of capital in production “consists…simply and solely in making possible the introduction of a longer period of time between the beginning and the conclusion of the process of production of the commodity concerned and consequently the adoption of a more productive round-about method of production than would be possible if production were less strong in capital or totally devoid of capital” (Wicksell 1893, p. 115). It should be noted that in Value, Capital and Rent Wicksell develops his theory in the hypothesis of a stationary economy in which only circulating capital is employed. As regards the first aspect, he believes that, in a first phase, the theory of interest and the theory of accumulation should be taken into consideration separately, as is usually done for the theory of exchange and the theory of production (Wicksell 1893, p. 21). With that, he does not intend to deny that “the question of the origin of capital interest and that of the origin of interest-bearing capital itself…are related” (1893, p. 21). Wicksell seems merely to hold that the causes which determine the interest rate are broadly independent of those determining the accumulation of capital. In his view, the simplest way to treat the determination of the interest rate 1 The substance of the criticism put forward in Value, Capital and Rent as regards Walras’s theory of capital had been already expounded in Wicksell 1892; cf. Uhr 1962, p. 104. 4 separately from the theory of accumulation is to focus on the case of a “stationary economy in which capital and the other economic factors can be thought of as an approximately unalterable sum” (1893, p. 22). Wicksell seems to believe that in this hypothetical economy the determination of the interest rate must depend on the mere employment of a given quantity of capital in production, beside labour and land, and not on the conditions of its accumulation. As regards the hypothesis that only circulating capital is employed in production,2 in order to understand Wicksell’s position it is useful to consider his classification “of the different capitals…according to their durability” (1893, p. 105). Wicksell argues that “consumable or quickly exhausted” means of production, together with “the consumer goods [that] are not yet in the hands of consumers” and are therefore susceptible of being advanced to workers as means of subsistence, must be regarded as “capital in the narrower sense”. Then he distinguishes this first category of goods from the “highly durable goods” such as “productive buildings, factories, store-houses, railways, etc.”, which are remunerated only in proportion to their scarcity, without any noteworthy influence of the original costs of production. Wicksell states that the latter goods “must be placed, economically speaking, in the same category as landed property itself” and calls them rent-goods (1893, pp. 118- 119). Moreover, he asserts that rent-goods do not play any role in determining the rate of interest (1893, p. 119) and finally remarks that, in a stationary economy, rent- goods “are not produced at all, but kept in the same good condition” (1893, p. 162; emphasis added). In the foregoing classification, the machines of comparatively low durability are implicitly included among the “capital goods in the narrow sense” that are relevant for the determination of the interest rate (1893, p. 118). However, the treatment of comparatively short-lived machines was an unsettled issue to Wicksell. 3 This fact may explain why, in the subsequent development of the analysis, he does not take them into consideration but simply reasserts that rent-goods play no 2 In Wicksell’s theory all the means of productions, “once the production process is complete and the goods are ready,...are assumed to be worn out and valueless” (1893, p. 120). 3 As Wicksell himself will admit in the review of Åkerman’s study of durable capital, “[the problem created by durable capital] is so complex that the vast majority of economists, including the reviewer, have almost entirely passed it by as being much too difficult to be susceptible to analysis” (1923, p.
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