# Justifiable choice

*Yuval Heller* ()

MPRA Paper from University Library of Munich, Germany

**Abstract:**
In many situations a decision maker has incomplete psychological preferences, and the weak axiom of revealed preference (WARP) is often violated. In this paper we relax WARP, and replace it with convex axiom of revealed non-inferiority (CARNI). An alternative x is revealed inferior to y if x is never chosen when y is in the convex hull of the choice set. CARNI requires that an alternative is chosen if it is not inferior to all other alternatives in the convex hull of the choice set. We apply CARNI in two models and axiomatize non-binary choice correspondences. In the first model we impose the standard axioms of expected utility model, except that WARP is replaced by CARNI. We prove that it has a multiple-utility representation: There is a unique convex set of vN-M utilities, such that an alternative is chosen if and only if it is best with respect to one of the utilities in this set. In the second model we impose the axioms of the subjective expected utility, relax WARP in a similar way, and get multiple-prior representation: There is a unique convex set of priors over the state of nature, such that an alternative is chosen if and only if it is best with respect to one of these priors. Both representations are closely-related to psychological insights of justifiable choice: The decision maker has several ways to evaluate acts, each with a different justification. Observable payoff-irrelevant information during the choice triggers her to use a specific “anchoring” justification for the evaluation of the alternatives.

**Keywords:** uncertainty; multiple priors; multiple utilities; incomplete preferences; anchoring; framing; non-binary choice. (search for similar items in EconPapers)

**JEL-codes:** D81 (search for similar items in EconPapers)

**New Economics Papers:** this item is included in nep-dcm and nep-upt

**Date:** 2009-06-10

**References:** View references in EconPapers View complete reference list from CitEc

**Citations** Track citations by RSS feed

**Downloads:** (external link)

https://mpra.ub.uni-muenchen.de/15645/3/MPRA_paper_15645.pdf original version (application/pdf)

https://mpra.ub.uni-muenchen.de/54903/1/MPRA_paper_54903.pdf revised version (application/pdf)

https://mpra.ub.uni-muenchen.de/17018/2/MPRA_paper_17018.pdf revised version (application/pdf)

https://mpra.ub.uni-muenchen.de/25892/1/MPRA_paper_25892.pdf revised version (application/pdf)

**Related works:**

Journal Article: Justifiable choice (2012)

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:** http://EconPapers.repec.org/RePEc:pra:mprapa:15645

Access Statistics for this paper

More papers in MPRA Paper from University Library of Munich, Germany Ludwigstraße 33, D-80539 Munich, Germany. Contact information at EDIRC.

Series data maintained by Joachim Winter ().