The Limit Theorem on the Core of a Production Economy in Vector Lattices with Unordered Preferences

Posted: 15 Oct 1999

See all articles by Rabee Tourky

Rabee Tourky

University of Melbourne - Department of Economics; Purdue University - Department of Economics

Abstract

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

JEL Classification: C62, C71, C51

Suggested Citation

Tourky, Rabee, The Limit Theorem on the Core of a Production Economy in Vector Lattices with Unordered Preferences. Available at SSRN: https://ssrn.com/abstract=176557

Rabee Tourky (Contact Author)

University of Melbourne - Department of Economics ( email )

Melbourne, 3010
Australia

Purdue University - Department of Economics

West Lafayette, IN 47907-1310
United States

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