The Frobenius eigenvector of a positive square matrix is obtained by iterating the multiplication of an arbitrary positive vector by the matrix. Brody (1997) noticed that, when the entries of the matrix are independently and identically distributed, the speed of convergence increases...

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...

It is shown that relative prices of production, which depend on the rate of profit in a complicated manner, satisfy nevertheless a simple monotonicity law when the Hilbert's projective metric is used as a measure. <!--ID="" Correspondence to: U. Krause-->

It is shown that relative prices of production, which depend on the rate of profit in a complicated manner, satisfy nevertheless a monotonicity law when the Hilbert's projective metric is used as a measure.

The paper generalizes the von Neuman growth model extended by M. Morishima. Morishima introduced capitalists' consumption and workers' savings into the model. But his proof of the existence of the balanced-growth equilibrium crucially depends upon the assumption that every good must be in...