A monotonicity law for relative prices

A Mathematical Note on All-Productive, All-Engaging and Related Systems

“…Yet another similar characterization of all-engaging systems has been given by Bidard (1996), where however, the nonsingularity requirement in (i) is omitted. In the proof of his result this author claims that the connectedness property (4) implies the nonsingularity of (B − A), but this is false, as shown by the following example.…”

“…However, a purely mathematical analysis of these (and similar) models is less abundant. For instance, without pretension of completeness, we can quote Berrebi (1976, 1997), Bidard (1996Bidard ( , 2004, Bidard and Erreygers (1998), Manara (1968), Peris and Villar (1993), Giorgi and Magnani (1978), Lippi (1979), Kurz and Salvadori (1995), Schefold (1971Schefold ( , 1976Schefold ( , 1978aSchefold ( , 1978bSchefold ( , 1989.…”

“…We shall benefit from some specific results of matrix algebra and only occasionally we shall give economic interpretations or considerations. This paper may be considered as a complement and prosecution of the papers of Bidard (1996) and Bidard and Erreygers (1998). It is organized as follows.…”

The Characteristics of the Productive Structure Behind the Empirical Regularities in Production Prices Curves

“…Moreover, the very status of capital-intensive or labor-intensive industry could change as the profit rate changes in any possible interval. There is a research program which seeks to identify laws in the movement of relative prices as an effect of changes in the profit rate (see Bidard and Steedman, 1996;Bidard and Krause, 1996;Bidard, 1998;Bidard and Ehrbar). Their approach consists in identifying certain "points of view" under which relative prices would display a monotonic movement.…”