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Preference diversity orderings

Karpov, Alexander

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Abstract

This paper surveys approaches to preference diversity measurement. Applying preference diversity axiomatics, a generalization of the Alcalde-Unzu and Vorsatz (2016) criterion, is developed. It is shown that all previously used indices violate this criterion. Two new indices (geometric mean based and leximaxbased)are developed that satisfy a new criterion. Leximax-based orders act as a polarization index and are compared with Can et al.’s (2015) polarization index. The paper concludes by formulating a new open question: the preference profile reconstruction conjecture.

Document type: Working paper
Series Name: Discussion Paper Series, University of Heidelberg, Department of Economics
Volume: 0610
Place of Publication: Heidelberg
Date Deposited: 08 Mar 2016 09:20
Date: March 2016
Number of Pages: 19
Faculties / Institutes: The Faculty of Economics and Social Studies > Alfred-Weber-Institut for Economics
DDC-classification: 330 Economics
Uncontrolled Keywords: polarization, cohesiveness, ANEC, Leximax, Borda, reconstruction conjecture.
Series: Discussion Paper Series / University of Heidelberg, Department of Economics
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