The set of equilibrium prices in linear exchange economies is by Mertens (1996) a convex polyhedral cone (after adding {0}). We give a constructive proof of this fact. From this, we derive a lower semi-continuity property of the equilibrium price correspondence. The set of equilibrium...

A hierarchic price is a finite ordered family of price vectors {p1,...,pk}. It extends the notion of exchange values proposed by Gay (1978). These price notions were introduced in order to establish the existence of a competitive equilibrium without the strong survival assumption. It is well...