Multiutility representations for incomplete difference preorders

Marcus Pivato

MPRA Paper from University Library of Munich, Germany

Abstract: A ``difference preorder'' is a (possibly incomplete) preorder on a space of state changes (rather than the states themselves); it encodes information about preference intensity, in addition to ordinal preferences. We find necessary and sufficient conditions for a difference preorder to be representable by a family of cardinal utility functions which take values in linearly ordered abelian groups. This has applications to interpersonal comparisons, social welfare, and decisions under uncertainty.

Keywords: Preference intensity; cardinal utility; linearly ordered abelian group; social welfare; uncertainty (search for similar items in EconPapers)
JEL-codes: D60 D81 (search for similar items in EconPapers)
Date: 2012-09-09
New Economics Papers: this item is included in nep-mic
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Related works:
Journal Article: Multiutility representations for incomplete difference preorders (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:pra:mprapa:41182

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