On the continuity of correspondences on sets of measures with restricted marginals

James Bergin

Economic Theory, 1999, vol. 13, issue 2, 481 pages

Abstract: Consider the set of probability measures on a product space with the property that all have the same marginal distributions on the coordinate spaces. This set may be viewed as a correspondence, when the marginal distributions are varied. Here, it is shown that this correspondence is continuous. Numerous problems in economics involve optimization over a space of measures where one or more marginal distributions is given. Thus, for this class of problem, Berge's theorem of the maximum is applicable: the set of optimizers is upper-hemicontinuous and the value of the optimal solution varies with the parameters (marginals) continuously.

Keywords: Measures; on; product; spaces; with; restricted; marginals; ·; Continuity; of; correspondences; on; spaces; of; measures. (search for similar items in EconPapers)
JEL-codes: C60 C61 (search for similar items in EconPapers)
Date: 1999-02-17
Note: Received: April 23, 1997; revised version: January 16, 1998
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Citations: View citations in EconPapers (1)

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Working Paper: On the Continuity of Correspondences on Sets of Measures with Restricted Marginals (1997)
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