The aim of the paper is to provide a new proof of the Mas-Colell-Richard existence of equilibrium result when preferences are non-transitive and incomplete. Our proof generalizes the main ideas of the Negishi approach to the case of unordered preferences.

The goal of the paper is to prove the existence of competitive production quasi-equilibria in linear vector lattices. We assume that the commodity space is a vector lattice endowed with a Hausdorff locally convex topology such that the positive cone is closed and the topological dual is a...