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Potron and the Perron-Frobenius Theorem


  • Christian Bidard
  • Guido Erreygers


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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    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


    Frobenius; Leontief; Perron; Potron; Sraffa;


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