A new approach to production equilibria in vector lattices

Abstract We prove the existence of a competitive quasi-equilibrium in a production economy in which the commodity space is a vector lattice endowed with a topology, but is not necessarily a topological vector lattice. The key assumption necessary to prove the existence theorem is that both preferences and production sets are proper as defined by Mas-Colell (1986a, b). We show that the definition of proper production can be weakened significantly in the case where the commodity space is a topological vector lattice.