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Non-Emptyness of Stochastic Dominance Effiicient Sets via Stochastic Spanning

Stelios Arvanitis
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Stelios Arvanitis: Athens University of Economics and Business

No 201710, Working Papers from Athens University Of Economics and Business, Department of Economics

Abstract: We derive sufficient conditions for the non-emptyness of the efficient set for a class of Stochastic Dominance Relations, commonly applied in Economics and Finance, over sets of distributions of the real line. We do so via the use of the concept of sto- chastic spanning and its characterization via a saddle type property. Under the appro- priate framework sufficiency takes theform of semi-connuity of some related functional. In some cases this boils down to mild uniform moment existence conditions.

Keywords: Stochastic Dominance Relation; Financial Portfolio; Income Distribution; Functional Inequalities; Efficient set; Stochastic Spanning; Saddle-type Property; Zorn’s Lemma; Finite Intersection Property; Semi-Connuity. (search for similar items in EconPapers)
JEL-codes: C02 D31 D81 G11 (search for similar items in EconPapers)
Pages: 7 pages
Date: 2017-10
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