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Additively Separable Preferences Without the Completeness Axiom: An Algebraic Approach

Dino Borie ()

No 2016-11, GREDEG Working Papers from Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), University of Nice Sophia Antipolis

Abstract: A simple mathematical result characterizing a partially ordered mean groupoid is proved and used to study the problem of additively separable preferences on preordered Cartesian product set. This means that most of the economic theory based on separable preferences - expected utility,rank-dependent expected utility, qualitative probability, discounted utility - could be generalized to the multi-utility approach.

Keywords: Additive utility; Separable utility; Completeness axiom; Incomplete preferences (search for similar items in EconPapers)
JEL-codes: D80 D90 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-mic and nep-upt
Date: 2016-05
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Persistent link: http://EconPapers.repec.org/RePEc:gre:wpaper:2016-11

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