Equilibria in production economies

This paper studies production economies having a locally convex topological vector commodity space ordered by a closed and generating convex come such that the order intervals are topologically bounded. The generally assumed lattice properties on the commodity-price duality are replaced by an assumption of uniform properness of the Riesz-Kantorovich functional associated with a list of continuous linear functionals. On such an economy, our assumptions are quite general. In particular, consumers’ preferences are non-ordered, not necessarily monotone, and we do not assume free-disposal. The equilibrium existence theorem established in this paper is the most general for production economies in the literature