IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/24188.html
   My bibliography  Save this paper

Besicovitch, Sraffa, and the existence of the Standard commodity

Author

Listed:
  • Salvadori, Neri

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.

Suggested Citation

  • Salvadori, Neri, 2010. "Besicovitch, Sraffa, and the existence of the Standard commodity," MPRA Paper 24188, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:24188
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/24188/1/MPRA_paper_24188.pdf
    File Function: original version
    Download Restriction: no
    File URL: https://mpra.ub.uni-muenchen.de/25281/1/MPRA_paper_25281.pdf
    File Function: revised version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kurz,Heinz D. & Salvadori,Neri, 1997. "Theory of Production," Cambridge Books, Cambridge University Press, number 9780521588676.
    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. Sergio Parrinello, 2014. "A search for distinctive features of demand-led growth models," PSL Quarterly Review, Economia civile, vol. 67(270), pages 309-342.
    2. Heinz D. Kurz & Neri Salvadori, 2011. "In Favor of Rigor and Relevance: A Reply to Mark Blaug," History of Political Economy, Duke University Press, vol. 43(3), pages 607-616, Fall.
    3. Potestio, Paola, 1999. "The aggregate neoclassical theory of distribution and the concept of a given value of capital: towards a more general critique," Structural Change and Economic Dynamics, Elsevier, vol. 10(3-4), pages 381-394, December.
    4. Veneziani, Roberto & Yoshihara, Naoki, 2014. "One million miles to go: taking the axiomatic road to defining exploitation," UMASS Amherst Economics Working Papers 2014-10, University of Massachusetts Amherst, Department of Economics.
    5. Kazuhiro Kurose, 2022. "A two-class economy from the multi-sectoral perspective: the controversy between Pasinetti and Meade–Hahn–Samuelson–Modigliani revisited," Evolutionary and Institutional Economics Review, Springer, vol. 19(1), pages 239-270, April.
    6. Massimo Cingolani, 2015. "Sylos Labini su Marx: implicazioni per la politica economica (Sylos Labini on Marx: economic policy implications)," Moneta e Credito, Economia civile, vol. 68(269), pages 81-147.
    7. A. J. Julius, 2005. "The wage-wage-...-wage-profit relation in a multisector bargaining economy," GE, Growth, Math methods 0501003, University Library of Munich, Germany.
    8. Keiran Sharpe, 2006. "Effective demand in a stylised Keynesian model of growth," Review of Political Economy, Taylor & Francis Journals, vol. 18(2), pages 173-191.
    9. Naoki Yoshihara, 2021. "On the labor theory of value as the basis for the analysis of economic inequality in the capitalist economy," Japanese Economy, Taylor & Francis Journals, vol. 47(2-3), pages 190-212, July.
    10. Ellis Scharfenaker, 2022. "Statistical Equilibrium Methods In Analytical Political Economy," Journal of Economic Surveys, Wiley Blackwell, vol. 36(2), pages 276-309, April.
    11. Rodolfo Signorino, 2003. "Book Reviews," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 10(2), pages 339-370.
    12. Giorgio Giorgi, 2022. "Nonsingular M-matrices: a Tour in the Various Characterizations and in Some Related Classes," DEM Working Papers Series 206, University of Pavia, Department of Economics and Management.
    13. Luis Daniel Torres-González, 2020. "The Characteristics of the Productive Structure Behind the Empirical Regularities in Production Prices Curves," Working Papers 2016, New School for Social Research, Department of Economics.
    14. A. Rainer & R. Strohmaier, 2014. "Modeling the diffusion of general purpose technologies in an evolutionary multi-sector framework," Empirica, Springer;Austrian Institute for Economic Research;Austrian Economic Association, vol. 41(3), pages 425-444, August.
    15. Heinz D. Kurz, 2011. "The Contributions of Two Eminent Japanese Scholars to the Development of Economic Theory: Michio Morishima and Takashi Negishi," Chapters, in: Heinz D. Kurz & Tamotsu Nishizawa & Keith Tribe (ed.), The Dissemination of Economic Ideas, chapter 13, Edward Elgar Publishing.
    16. Kiedrowski, Roman, 2018. "Profit rates equalization and balanced growth in a multi-sector model of classical competition," Journal of Mathematical Economics, Elsevier, vol. 77(C), pages 39-53.
    17. Jonathan F. Cogliano & Roberto Veneziani & Naoki Yoshihara, 2022. "Computational methods and classical‐Marxian economics," Journal of Economic Surveys, Wiley Blackwell, vol. 36(2), pages 310-349, April.
    18. Roger E. Backhouse, 2013. "Understanding Mark Blaug's attitude towards Sraffian economics," Chapters, in: Marcel Boumans & Matthias Klaes (ed.), Mark Blaug: Rebel with Many Causes, chapter 11, pages 146-158, Edward Elgar Publishing.
    19. Luca Timponelli, 2021. "From Pareto to Bridgman: The Operational Turn of Samuelson, Sraffa and Leontief," Annals of the Fondazione Luigi Einaudi. An Interdisciplinary Journal of Economics, History and Political Science, Fondazione Luigi Einaudi, Torino (Italy), vol. 55(1), pages 303-328, June.
    20. Mariolis, Theodore, 2006. "A Critical Note on Marx’s Theory of Profits," MPRA Paper 24044, University Library of Munich, Germany.

    More about this item

    Keywords

    Sraffa; Besecovitch; Standard Commodity; Perron-Frobenius Theorem;
    All these keywords.

    JEL classification:

    • B31 - Schools of Economic Thought and Methodology - - History of Economic Thought: Individuals - - - Individuals
    • B23 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Econometrics; Quantitative and Mathematical Studies
    • B29 - Schools of Economic Thought and Methodology - - History of Economic Thought since 1925 - - - Other

    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:24188. 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.