IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/120418.html
   My bibliography  Save this paper

Sraffa: some alternative proofs

Author

Listed:
  • Saccal, Alessandro

Abstract

Relative to the germane academic literature in this work I offer alternative and more direct proofs for (i) the existence and unicity of Sraffa’s ‘Standard System’, (ii) the (existence and) unicity of R=r_i (for w=0) across the ‘Real System’ and the ‘Standard System’ and (iii) the existence (and unicity) of Sraffa’s Fundamental Equation r=R(1−w) across both kinds of system. While the proof for (iii) be outrightly unprecedented and that for (ii) certainly shorter, the proof for (i) is not necessarily superior to those of the germane academic literature, which judgement is left open for debate.

Suggested Citation

  • Saccal, Alessandro, 2024. "Sraffa: some alternative proofs," MPRA Paper 120418, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:120418
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/120418/1/MPRA_paper_120418.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Marco Lippi, 2008. "Some Observations on Sraffa and Mathematical Proofs With an Appendix on Sraffa’s Convergence Algorithm," Palgrave Macmillan Books, in: Guglielmo Chiodi & Leonardo Ditta (ed.), Sraffa or An Alternative Economics, chapter 12, pages 243-259, Palgrave Macmillan.
    2. Michel‐Stéphane Dupertuis & Ajit Sinha, 2009. "Existence Of The Standard System In The Multiple‐Production Case: A Solution To The Manara Problem," Metroeconomica, Wiley Blackwell, vol. 60(3), pages 432-454, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Saccal, Alessandro, 2024. "An alternative derivation of Sraffa’s fundamental equation with applications," MPRA Paper 120282, University Library of Munich, Germany.
    2. Yoann Verger, 2016. "A comment to Fratini's “Rent as a share of product and Sraffa’s price equations”," Working Papers hal-01415471, HAL.
    3. Ajit Sinha, 2015. "A Reflection on the Samuelson-Garegnani Debate," Economic Thought, World Economics Association, vol. 4(2), pages 1-48, September.
    4. Yoann Verger, 2018. "Sraffa and Manara: the mystery of the last article of Piero Sraffa," Working Papers hal-01700137, HAL.

    More about this item

    Keywords

    Abel Ruffini Theorem; mathematical induction; multiple and single production; Perron Frobenius Theorem; Real and Standard System; Schur decomposition; Sraffa’s Fundamental Equation.;
    All these keywords.

    JEL classification:

    • B24 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Socialist; Marxist; Scraffian

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:120418. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.