Lancasterian logic of taste and preference

Antoine Billot

Post-Print from HAL

Abstract: The aim of this paper is to reconcile the natural meaning of a taste defined as a subset of attributes and the theoretical modeling of a preference defined as a binary relation over alternatives. For that purpose, in a Lancasterian framework we first introduce attributes, addresses, alternatives and subjective associations between attributes. Second, we define tastes as subsets of attributes resulting from a specific mapping T over the powerset of attributes and we establish the two conditions, monotonicity and normalization of the mapping T, under which tastes can be said to be well-formed; that is, formally relevant as a representation of the subjective associations between attributes (Theorem 1). Third, we exhibit the formal properties, reflexivity and transitivity of the subjective associations that structure the attributes set if tastes are well-formed (Theorem 2). Finally, we prove that whenever tastes are consistently represented by preferences, tastes are well-formed iff preferences are totally weak-ordered (Theorem 3).

Keywords: Tastes; Preference; Rationality; Decision (search for similar items in EconPapers)
Date: 2011-03
References: Add references at CitEc
Citations:

Published in International Journal of Economic Theory, 2011, 7 (1), pp.119-131. ⟨10.1111/j.1742-7363.2010.00155.x⟩

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
Journal Article: Lancasterian logic of taste and preference (2011)
Working Paper: Lancasterian logic of taste and preference (2011)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-00754553

DOI: 10.1111/j.1742-7363.2010.00155.x

Access Statistics for this paper

More papers in Post-Print from HAL
Bibliographic data for series maintained by CCSD ().