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 |
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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 |