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Generalized Measures of Polarization in Preferences

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We provide axiomatic characterizations for measures of polarization in profiles of preferences that are represented as rankings of alternatives. Polarization is seen as the extent to which opinions are opposed. We provide characterizations for an extension of this simple intuition on the pairs of alternatives to the cases with more than two alternatives. Our primary generalization allows for different treatment among issues, i.e., pairs of alternatives. Secondly, we show that the characterization result continues to hold when preferences are allowed to attain indifferences. Finally, we show that we can also impose a domain restriction that only allows for single-peaked preferences and retain our characterization. Our results point to a fundamental feature of measures on profile of preferences that are based on pairwise comparisons of alternatives.

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File URL: https://www.amse-aixmarseille.fr/sites/default/files/_dt/2012/wp_2017_-_nr_34_0.pdf
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Paper provided by Aix-Marseille School of Economics, Marseille, France in its series AMSE Working Papers with number 1734.

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Length: 18 pages
Date of creation: Sep 2017
Handle: RePEc:aim:wpaimx:1734
Contact details of provider: Web page: http://www.amse-aixmarseille.fr/en

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