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On the non-equivalence of weak and strict preference

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  • Rechenauer, Martin

Abstract

It is often claimed that the relations of weak preference and strict preference are symmetrical to each other in the sense that weak preference is complete and transitive if and only if strict preference is asymmetric and negatively transitive. The equivalence proof relies on a definitional connection between them, however, that already implies completeness of weak preference. Weakening the connection in order to avoid this leads to a breakdown of the symmetry which gives reason to accept weak preference as the more fundamental relation.

Suggested Citation

  • Rechenauer, Martin, 2008. "On the non-equivalence of weak and strict preference," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 386-388, November.
    • Handle: RePEc:eee:matsoc:v:56:y:2008:i:3:p:386-388
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    Cited by:

    1. Maria Viktorovna Droganova & Valentin Vankov Iliev, 2013. "On the Preference Relations with Negatively Transitive Asymmetric Part. I," Papers 1302.7238, arXiv.org, revised Oct 2013.

    More about this item

    Keywords

    D01 Weak vs. strict preference orderings Completeness Transitivity;

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

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