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On the Existence of Undominated Elements of Acyclic Relations

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Author Info
Hannu Salonen (Department of Economics, University of Turku)
Hannu Vartiainen (The Yrjo Jahnsson Foundation)

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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.

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File URL: http://129.3.20.41/eps/game/papers/0503/0503009.pdf
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Publisher Info
Paper provided by EconWPA in its series Game Theory and Information with number 0503009.

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Length: 23 pages
Date of creation: 23 Mar 2005
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Handle: RePEc:wpa:wuwpga:0503009

Note: Type of Document - pdf; pages: 23
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Web page: http://129.3.20.41

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Related research
Keywords: acyclic relations; undominated elements;

Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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References listed on IDEAS
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  1. Ted Bergstrom, 1975. "Maximal elements of Acyclic Relations on Compact Sets," University of California at Santa Barbara, Economics Working Paper Series 1975B, Department of Economics, UC Santa Barbara. [Downloadable!]
    Other versions:
  2. Campbell, Donald E. & Walker, Mark, 1990. "Maximal elements of weakly continuous relations," Journal of Economic Theory, Elsevier, vol. 50(2), pages 459-464, April. [Downloadable!] (restricted)
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