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An Equivalence Theorem for the Core of an Economy Whose Atoms Are Not "Too" Big
Jean Jaskold Gabszewicz
Jean-Francois Mertens
Abstract
This paper is a natural outgrowth of recent studies in markets with a "continuum" of traders. An equivalence theorem for the core of such economies was obtained, under the assumption that the measure space of economic agents is atomless. We introduce a sufficient condition under which the preceding result can be extended to economies containing "atomic" traders. The condition bears on the measure of the atoms.
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