On the Existence of Undominated Elements of Acyclic Relations

Hannu Salonen and Hannu Vartiainen ()

Game Theory and Information from University Library of Munich, Germany

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)
Pages: 23 pages
Date: 2005-03-23
New Economics Papers: this item is included in nep-gth
Note: Type of Document - pdf; pages: 23
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Related works:
Journal Article: On the existence of undominated elements of acyclic relations (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:wpa:wuwpga:0503009

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