The limit theorem on the core of a production economy in vector lattices with unordered preferences

We prove Aliprantis, Brown, and Burkinshaw's (1987) theorem on the equivale nce of Edgeworth production equilibria and pseudo-equilibria in a more gene ral setting. We consider production economies with unordered preferences an d general consumption sets in a vector lattice commodity space. We adapt th e approach of Mas-Colell and Richard (1991) and prove our theorem by applyi ng a separating hyperplane argument in the space of all allocations. We als o generalize Podczeck's (1996) important result on the relationship between continuous and discontinuous equilibrium prices to the case of production.