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Measuring polarization in preferences

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  • Can, Burak
  • Ozkes, Ali Ihsan
  • Storcken, Ton

Abstract

In this paper, we study the measurement of polarization in collective decision making problems with ordinal preferences over alternatives. We argue that polarization can be measured as an aggregation of antagonisms over pairs of alternatives in the society. We propose a measure of this sort and show that it is the only measure satisfying some normatively appealing conditions.

Suggested Citation

  • Can, Burak & Ozkes, Ali Ihsan & Storcken, Ton, 2015. "Measuring polarization in preferences," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 76-79.
    • Handle: RePEc:eee:matsoc:v:78:y:2015:i:c:p:76-79
    DOI: 10.1016/j.mathsocsci.2015.09.006
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    References listed on IDEAS

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    1. José G. Montalvo & Marta Reynal-Querol, 2005. "Ethnic Polarization, Potential Conflict, and Civil Wars," American Economic Review, American Economic Association, vol. 95(3), pages 796-816, June.
    2. Ali Ihsan Ozkes, 2013. "Preferential Polarization Measures," Working Papers hal-00875949, HAL.
    3. Jorge Alcalde-Unzu & Marc Vorsatz, 2008. "The Measurement of Consensus: An Axiomatic Analysis," Working Papers 2008-28, FEDEA.
    4. Katherine Baldiga & Jerry Green, 2013. "Assent-maximizing social choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 439-460, February.
    5. Hetherington, Marc J., 2009. "Review Article: Putting Polarization in Perspective," British Journal of Political Science, Cambridge University Press, vol. 39(2), pages 413-448, April.
    6. Jorge Alcalde-Unzu & Marc Vorsatz, 2013. "Measuring the cohesiveness of preferences: an axiomatic analysis," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 965-988, October.
    7. Esteban, Joan & Ray, Debraj, 1994. "On the Measurement of Polarization," Econometrica, Econometric Society, vol. 62(4), pages 819-851, July.
    8. José Garcia Montalvo & Marta Reynal-Querol, 2004. "Ethnic polarization, potential conflict and civil wars," Economics Working Papers 770, Department of Economics and Business, Universitat Pompeu Fabra, revised Mar 2005.
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    Cited by:

    1. Huremović, Kenan & Ozkes, Ali I., 2022. "Polarization in networks: Identification–alienation framework," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    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 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.
    4. Jansen, C. & Schollmeyer, G. & Augustin, T., 2018. "A probabilistic evaluation framework for preference aggregation reflecting group homogeneity," Mathematical Social Sciences, Elsevier, vol. 96(C), pages 49-62.
    5. Alexander Karpov, 2017. "Preference Diversity Orderings," Group Decision and Negotiation, Springer, vol. 26(4), pages 753-774, July.
    6. Salvatore Barbaro, 2021. "A social-choice perspective on authoritarianism and political polarization," Working Papers 2108, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.

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