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Preference diversity orderings

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  • Karpov, Alexander

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.

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  • Karpov, Alexander, 2016. "Preference diversity orderings," Working Papers 0610, University of Heidelberg, Department of Economics.
    • Handle: RePEc:awi:wpaper:0610
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    Cited by:

    1. Alexander Karpov, 2020. "The likelihood of single-peaked preferences under classic and new probability distribution assumptions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(4), pages 629-644, December.
    2. Burak Can & Ali Ihsan Ozkes & Ton Storcken, 2017. "Generalized Measures of Polarization in Preferences," AMSE Working Papers 1734, Aix-Marseille School of Economics, France.
    3. Alexander V. Karpov, 2018. "An Informational Basis for Voting Rules," HSE Working papers WP BRP 188/EC/2018, National Research University Higher School of Economics.

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    More about this item

    Keywords

    polarization; cohesiveness; ANEC; Leximax; Borda; reconstruction conjecture.;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

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