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...

The author builds a theory of the choice of techniques in joint production, at a given profit rate, considering a market algorithm. Partial results are extended by means of an abstract notion of technology, where techniques meet demand and satisfy local properties. Global results on the...

An increase in the demand for agricultural goods leads to the use of more intensive cultivation methods. Though Ricardo sees no difficulties in the intensification process, their existence is revealed by the possible occurrence of multiple equilibria. A general theory of intensive rent is based...

Long-term prices depend on distribution in a complex way, especially when choice of technique is allowed. It is shown, however, that the movement of prices in terms of wage obeys certain laws. More precisely, the movement is characterized in terms of linear programming problems. Necessary or...

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.