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Potron and the Perron-Frobenius Theorem

Author

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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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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. Bertram Schefold, 2019. "The transformation of values into prices on the basis of random systems revisited," Evolutionary and Institutional Economics Review, Springer, vol. 16(2), pages 261-302, December.

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