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Potron and the Perron-Frobenius Theorem

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  • Christian Bidard
  • Guido Erreygers

Abstract

Maurice Potron is an important precursor of the study of linear models of production and, in particular, of input-output analysis. We show that, contrary to Abraham-Frois and Lendjel's interpretation which we consider as unfaithful to Potron's model, there is a clear connection between his theory and the Perron-Frobenius theorem.

Suggested Citation

  • Christian Bidard & Guido Erreygers, 2007. "Potron and the Perron-Frobenius Theorem," Economic Systems Research, Taylor & Francis Journals, vol. 19(4), pages 439-452.
  • Handle: RePEc:taf:ecsysr:v:19:y:2007:i:4:p:439-452 DOI: 10.1080/09535310701698563
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    References listed on IDEAS

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    1. Rikard Forslid & Jan I. Haaland & Karen Helene M. Knarvik & Ottar Maestad, 2002. "Integration and transition: Scenarios for the location of production and trade in Europe," The Economics of Transition, The European Bank for Reconstruction and Development, vol. 10(1), pages 93-117, March.
    2. Paul Krugman & Anthony J. Venables, 1995. "Globalization and the Inequality of Nations," The Quarterly Journal of Economics, Oxford University Press, vol. 110(4), pages 857-880.
    3. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    4. repec:hhs:iuiwop:430 is not listed on IDEAS
    5. Karl Aiginger & Stephen W. Davies, 2004. "Industrial specialisation and geographic concentration: Two sides of the same coin? Not for the European Union," Journal of Applied Economics, Universidad del CEMA, vol. 7, pages 231-248, November.
    6. Gianmarco I. P. Ottaviano & Diego Puga, 1998. "Agglomeration in the Global Economy: A Survey of the 'New Economic Geography'," The World Economy, Wiley Blackwell, vol. 21(6), pages 707-731, August.
    7. J.Peter Neary, 2001. "Of Hype and Hyperbolas: Introducing the New Economic Geography," Journal of Economic Literature, American Economic Association, pages 536-561.
    8. Julda Kielyte, 2008. "Estimating Panel Data Models in the Presence of Endogeneity and Selection," Journal of Economics and Econometrics, Economics and Econometrics Society, pages 1-19.
    9. J.Peter Neary, 2001. "Of Hype and Hyperbolas: Introducing the New Economic Geography," Journal of Economic Literature, American Economic Association, pages 536-561.
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    Cited by:

    1. PARYS, Wilfried, 2013. "All but one: How pioneers of linear economics overlooked Perron-Frobenius mathematics," Working Papers 2013030, University of Antwerp, Faculty of Applied Economics.
    2. Kemp-Benedict, Eric, 2014. "The inverted pyramid: A neo-Ricardian view on the economy–environment relationship," Ecological Economics, Elsevier, vol. 107(C), pages 230-241.

    More about this item

    Keywords

    Frobenius; Leontief; Perron; Potron; Sraffa;

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