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Nonsubstitution Theorem, Leontief Model, Netputs: Some Clarifications

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  • Petri, Fabio

    (Università degli Studi di Siena (University of Siena))

Abstract

The nonsubstitution theorem concerns long-period technical choice and relative prices, and was so understood in its first (1951) formulations, but the modern advanced micro textbooks that present it do not make this clear, rendering the theorem impossible to understand for students. These modern presentations derive from a reinterpretation of the Leontief model as a ‘timeless’ economy in Walrasian equilibrium, capable of positive pro-duction in spite of zero initial endowments of all inputs except labour: an unacceptable interpretation, made pos-sible by a use of netputs, to describe the economy’s production possibilities, that is illegitimate in this case even from a strictly neoclassical perspective. The notion of a ‘timeless’ economy disappears from the textbook presen-tations of the Leontief model and of the nonsubstitution theorem, but the result is that the nature of the model and of the prices to which the theorem refers is not clarified, inevitably leaving students utterly confused. This note remembers the true nonsubstitution theorem, points out that it had been correctly enunciated by Samuelson (1961), and suggests that the current inability to present it in a correct way is due to the absence of the notion of long-period prices from the theoretical horizon of contemporary neoclassical value theory. The paper opens with clarifications on the meaning of the Leontief model which prepare the ground for the discussion of the problem with netputs.

Suggested Citation

  • Petri, Fabio, 2016. "Nonsubstitution Theorem, Leontief Model, Netputs: Some Clarifications," Centro Sraffa Working Papers CSWP20, Centro di Ricerche e Documentazione "Piero Sraffa".
  • Handle: RePEc:ris:sraffa:0020
    as

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    References listed on IDEAS

    as
    1. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    2. Kurz,Heinz D. & Salvadori,Neri, 1997. "Theory of Production," Cambridge Books, Cambridge University Press, number 9780521588676, September.
    3. Pierangelo Garegnani, 2007. "Professor Samuelson on Sraffa and the classical economists," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 14(2), pages 181-242.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Nonsubstitution theorem; Leontief model; long period; netputs;
    All these keywords.

    JEL classification:

    • B21 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Microeconomics
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • D57 - Microeconomics - - General Equilibrium and Disequilibrium - - - Input-Output Tables and Analysis

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