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Maurice Potron'S Linear Economic Model: A De Facto Proof Of ‘Fundamental Marxian Theorem’

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  • Kenji Mori

Abstract

Maurice Potron was a French mathematician whose largely unknown contributions to economic analysis should be acknowledged as pioneering achievements. The purpose of this paper is to (1) reconstruct Potron's core model in terms of modern input–output analysis, (2) show that Potron proved de facto Fundamental Marxian Theorem (FMT) 48 years earlier than Morishima, Seton and Okishio by adapting the Perron–Frobenius theorems to economic problems, and (3) claim that Potron proved de facto FMT by considering heterogeneous labours 65 years earlier and even more generally than Bowles and Gintis.

Suggested Citation

  • Kenji Mori, 2008. "Maurice Potron'S Linear Economic Model: A De Facto Proof Of ‘Fundamental Marxian Theorem’," Metroeconomica, Wiley Blackwell, vol. 59(3), pages 511-529, July.
    • Handle: RePEc:bla:metroe:v:59:y:2008:i:3:p:511-529
    DOI: 10.1111/j.1467-999X.2008.00315.x
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    References listed on IDEAS

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    1. Gilbert Abraham-Frois & Emeric Lendjel, 2006. "Predecessors to Leontief: Father Potron's early contributions to input-output analysis," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00311382, HAL.
    2. Gilbert Abraham-Frois & Emeric Lendjel, 2006. "Father Potron Early Contributions to Input-Output Analysis," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00311378, HAL.
    3. Gilbert Abraham-Frois & Emeric Lendjel, 2006. "Father Potron's Early Contributions to Input-Output Analysis," Economic Systems Research, Taylor & Francis Journals, vol. 18(4), pages 357-372.
    4. Morishima, Michio, 1978. "S. Bowles and H. Gintis on the Marxian Theory of Value and Heterogeneous Labour," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 2(3), pages 305-309, September.
    5. Gilbert Abraham-Frois & Emeric Lendjel, 2006. "Father Potron Early Contributions to Input-Output Analysis," Post-Print halshs-00311378, HAL.
    6. Bowles, Samuel & Gintis, Herbert, 1977. "The Marxian Theory of Value and Heterogeneous Labour: A Critique and Reformulation," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 1(2), pages 173-192, June.
    7. Christian Bidard & Guido Erreygers & Wilfried Parys, 2009. "'Our daily bread': Maurice Potron, from Catholicism to mathematical economics," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 16(1), pages 123-154.
    8. Gilbert Abraham-Frois & Emeric Lendjel, 2006. "Predecessors to Leontief: Father Potron's early contributions to input-output analysis," Post-Print halshs-00311382, HAL.
    9. Bowles, Samuel & Gintis, Herbert, 1978. "Professor Morishima on Heterogeneous Labour and Marxian Value Theory," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 2(3), pages 311-314, September.
    10. Morishima, Michio, 1978. ""Marx in the Light of Modern Economic Theory": A Reply," Econometrica, Econometric Society, vol. 46(5), pages 1243-1243, September.
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    Cited by:

    1. Kenji Mori & Shintaro Tamate, 2014. "Pasinetti after Sen: Towards a Capability Approach to Structural Dynamics of Consumption," Metroeconomica, Wiley Blackwell, vol. 65(4), pages 690-716, November.
    2. Escudé, Guillermo J., 2021. "Karl Marx´s Theory of Capitalism Exposition, Critique, and Appraisal," MPRA Paper 113685, University Library of Munich, Germany.
    3. Escudé, Guillermo J., 2021. "La Teoría del Capitalismo de Karl Marx. Exposición, Crítica y Evaluación [Karl Marx's Theory of Capitalism. Exposition, Critique, and Appraisal]," MPRA Paper 105877, University Library of Munich, Germany.
    4. PARYS, Wilfried, 2013. "All but one: How pioneers of linear economics overlooked Perron-Frobenius mathematics," Working Papers 2013030, University of Antwerp, Faculty of Business and Economics.
    5. Kenji Mori, 2010. "Charasoff and Dmitriev: An Analytical Characterisation of Origins of Linear Economics," TERG Discussion Papers 249, Graduate School of Economics and Management, Tohoku University.
    6. PARYS, Wilfried, 2018. "Labour values and energy values," Working Papers 2018006, University of Antwerp, Faculty of Business and Economics.

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