Maximality with or without binariness: transfer-type characterizations

José Carlos Rodríguez Alcantud ()

Microeconomics from EconWPA

Abstract: We provide the first necessary and su±cient conditions in the literature for the existence of maximal elements in a non-binary choice framework. As an application, the characterization of the existence of maximal elements for acyclic binary relations obtained in Rodriguez-Palmero and Garcia-Lapresta, 2002, Mathematical Social Sciences 43, 55-60, is deduced as a Corollary. Further characterizations in di®erent settings given by Tian and Zhou, 1995, Journal of Mathematical Economics 24, 281- 303, follow as well. Analogous characterization problems in the k- acyclic binary cases are solved too.

Keywords: maximization; non-binary choice function; transfer-continuity; k-acyclicity (search for similar items in EconPapers)
JEL-codes: D11 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-dcm
Date: 2004-02-28
Note: Type of Document - PDF; prepared on WinXP; pages: 10
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Related works:
Journal Article: Maximality with or without binariness: Transfer-type characterizations (2006)
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Persistent link: http://EconPapers.repec.org/RePEc:wpa:wuwpmi:0402015

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