On the Existence of Undominated Elements of Acyclic Relations

Hannu Salonen and Hannu Vartiainen ()
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Hannu Salonen: Department of Economics, University of Turku

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Abstract: We study the existence of undominated elements of acyclic and irreflexive relations. A sufficient condition for the existence is given in the general case without any topological assumptions. Sufficient conditions are also given when the relation in question is defined on a compact Hausdorff space. We study the existence of fixed points of acyclic correspondences, the existence of stable sets, and the possibility of representing the relation by a real valued function.

Keywords: acyclic relations; undominated elements (search for similar items in EconPapers)
JEL-codes: C7 D8 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-gth
Date: 2005-03-23
Note: Type of Document - pdf; pages: 23
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Persistent link: http://EconPapers.repec.org/RePEc:wpa:wuwpga:0503009

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