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Maximal elements of Acyclic Relations on Compact Sets

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Author Info
Ted Bergstrom (University of California, Santa Barbara)

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Abstract

This paper proves that a continuous acyclic relation takes a maximal element on any compact set.

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File URL: http://repositories.cdlib.org/cgi/viewcontent.cgi?article=1113&context=ucsbecon
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Publisher Info
Paper provided by Department of Economics, UC Santa Barbara in its series University of California at Santa Barbara, Economics Working Paper Series with number 1975B.

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Date of creation: 01 Jun 1975
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Handle: RePEc:cdl:ucsbec:1975b

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Related research
Keywords: acyclic relations; maximal elements;

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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
  1. Begoña Subiza & Carmen Herrero Blanco, 1991. "A Characterization Of Acyclic Preferences On Countable Sets," Working Papers. Serie AD 1991-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
  2. Ted Bergstrom, 2003. "When Non-transitive Relations Take Maxima and Competitive Equilibria Can't Be Beat," University of California at Santa Barbara, Economics Working Paper Series 1992A, Department of Economics, UC Santa Barbara. [Downloadable!]
    Other versions:
  3. Andrikopoulos, Athanasios & Zacharias, Eleftherios, 2008. "General solutions for choice sets: The Generalized Optimal-Choice Axiom set," MPRA Paper 11645, University Library of Munich, Germany. [Downloadable!]
  4. Hannu Salonen & Hannu Vartiainen, 2005. "On the Existence of Undominated Elements of Acyclic Relations," Game Theory and Information 0503009, EconWPA. [Downloadable!]
  5. Begoña Subiza, 2000. "A Kkm-Result And An Application For Binary And Non-Binary Choice Functions," Working Papers. Serie AD 2000-04, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
    Other versions:
  6. S. Abu Turab Rizvi, 2001. "Preference Formation and the Axioms of Choice," Review of Political Economy, Taylor and Francis Journals, vol. 13(2), pages 141-159, April. [Downloadable!] (restricted)
  7. Kukushkin, Nikolai S., 2006. "On the choice of most-preferred alternatives," MPRA Paper 803, University Library of Munich, Germany. [Downloadable!]
  8. J. C. R. Alcantud & Carlos Alós-Ferrer, 2002. "Choice-Nash Equilibria," Vienna Economics Papers 0209, University of Vienna, Department of Economics. [Downloadable!]
  9. P. Herings & Kirsten Rohde, 2008. "On the completeness of complete markets," Economic Theory, Springer, vol. 37(2), pages 171-201, November. [Downloadable!] (restricted)
    Other versions:
  10. Nikolai S Kukushkin, 2005. "On the existence of maximal elements: An impossibility theorem," Game Theory and Information 0509004, EconWPA. [Downloadable!]
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