Archimedean and continuity

descriptionPublicationkeyboard_double_arrow_right Article 01 May 2007 English Publisher:Elsevier BVJournal:Mathematical Social Sciences, volume 53, pages 332-334 (issn: 0165-4896,

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Authors: Edi Karni;

doi: 10.1016/j.mathsocsci.2007.01.004

Archimedean and continuity

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Abstract

Abstract Let ≽ be a complete and transitive binary relation on the set of all lotteries on finite sets of prizes. Then ≽ is mixture continuous if and only if it satisfies the Archimedean axiom and a condition called local mixture dominance.

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Johns Hopkins University
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JOHNS HOPKINS UNIVERSITY
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