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Additively Separable Preferences Without the Completeness Axiom: An Algebraic Approach

Author

Listed:
  • Dino Borie

    (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.

Suggested Citation

  • Dino Borie, 2016. "Additively Separable Preferences Without the Completeness Axiom: An Algebraic Approach," GREDEG Working Papers 2016-11, Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), Université Côte d'Azur, France.
    • Handle: RePEc:gre:wpaper:2016-11
    as

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    File URL: http://195.220.190.85/GREDEG-WP-2016-11.pdf
    File Function: First version, 2016
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    References listed on IDEAS

    as
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Additive utility; Separable utility; Completeness axiom; Incomplete preferences;
    All these keywords.

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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