Maurice Potron (1872-1942) is a French Jesuit and a talented mathematician. A recent rediscovery of his economic model, which was left unnoticed in his times, lets Potron appear as a pioneer, both for the framework he conceived and the mathematical methods he used. Moreover, there are hints that...

We consider a bisector reproduction model in which money is introduced as a pure means of exchange issued by a bank at the producers' requests. Each capitalist aims at maximizing accumulation in his own sector. Their plans are based on available quantities and expected prices. Effective prices...

We propose to re-read Ricardo's theory of rent and its modern versions. Ricardo's dynamic approach follows the transformations of a long-term equilibrium with demand. Sraffa adopted the same framework while substituting a value criterion for a physical criterion to determine the incoming...

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.

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...

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...

We generalize the concept of industry, which stems from the analysis of single-product economies, to that of sector. The sector concept can be applied to economies with or without joint-product processes and pure capital goods. A ‘sectoral economy’ is an economy characterized by the...