ABSTRACT

When Gustave Desbuquois first mentioned Potron’s economic studies in 1911 he alluded to a more formal mathematical exposition soon to be published by the author (see the Editors’ note to Chapter 1). In several of his writings of 1911 and 1912 Potron frequently referred to this forthcoming publication, which finally appeared in 1913: ‘Quelques propriétés des substitutions linéaires à coefficients ≧0 et leur application aux problèmes de la production et des salaires’ (Annales Scientifiques de l’École Normale Supérieure, 1913, 3rd series, 30: 53–76). The title of this article coincides with that of Potron’s first note published by the Academie des Sciences in 1911 (see A9/Chapter 3). The article contains both a rigorous statement and proofs of Potron’s mathematical propositions (Part I), and an explanation of their economic application (Part II).