Production equilibria in locally proper economies with unbounded and unordered consumers

We prove a theorem on the existence of general equilibrium for a production economy with unordered preferences in a topological vector lattice commodi ty space. Our consumption sets need not have a lower bound and the set of f easible allocations need not be topologically bounded. Instead, we introduc e a notion of local proper dominance and assume that the set of feasible al locations not locally properly dominated by any other feasible allocation h as compact closure. Furthermore, we assume that the economy is locally prop er as opposed to uniformly proper. In particular, preferences satisfy a loc ally uniform version of the extreme desirability condition of Yannelis and Zame [Yannelis. N.C., Zame, W.R., 1986, Equilibria in Banach lattices witho ut ordered preferences, Journal of Mathematical Economics 15, 85-110.]. (C) 1999 Elsevier Science S.A. All rights reserved.