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Measuring disproportionality, volatility and malapportionment: axiomatization and solutions

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  • Moshe Koppel
  • Abraham Diskin

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  • Moshe Koppel & Abraham Diskin, 2009. "Measuring disproportionality, volatility and malapportionment: axiomatization and solutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 281-286, August.
    • Handle: RePEc:spr:sochwe:v:33:y:2009:i:2:p:281-286
    DOI: 10.1007/s00355-008-0357-1
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    Citations

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    Cited by:

    1. Piotr Dniestrzański & Janusz Łyko, 2015. "The Disproportion Of Allocation Under The Given Boundary Conditions," Economy & Business Journal, International Scientific Publications, Bulgaria, vol. 9(1), pages 118-126.
    2. Konstantinos Matakos & Riikka Savolainen & Orestis Troumpounis & Janne Tukiainen & Dimitrios Xefteris, 2024. "Electoral Institutions and Intraparty Cohesion," Journal of Political Economy Microeconomics, University of Chicago Press, vol. 2(4), pages 883-916.
    3. Rafael Hortala-Vallve & Jaakko Meriläinen & Janne Tukiainen, 2024. "Pre-electoral coalitions and the distribution of political power," Public Choice, Springer, vol. 198(1), pages 47-67, January.
    4. Aaron Brick & Cameron Brick, 2021. "Districting that minimizes partisan bias," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-6, December.
    5. Sarkar, Sandip & Dash, Bharatee Bhusana, 2023. "On the measurement of electoral volatility," Mathematical Social Sciences, Elsevier, vol. 126(C), pages 119-128.
    6. D. Bouyssou & T. Marchant & M. Pirlot, 2020. "A characterization of two disproportionality and malapportionment indices: the Duncan and Duncan index and the Lijphart index," Annals of Operations Research, Springer, vol. 284(1), pages 147-163, January.
    7. Miguel Martínez-Panero & Verónica Arredondo & Teresa Peña & Victoriano Ramírez, 2019. "A New Quota Approach to Electoral Disproportionality," Economies, MDPI, vol. 7(1), pages 1-17, March.
    8. Junichiro Wada, 2010. "Evaluating the Unfairness of Representation With the Nash Social Welfare Function," Journal of Theoretical Politics, , vol. 22(4), pages 445-467, October.
    9. Colignatus, Thomas, 2017. "Comparing votes and seats with a diagonal (dis-) proportionality measure, using the slope-diagonal deviation (SDD) with cosine, sine and sign," MPRA Paper 80833, University Library of Munich, Germany, revised 17 Aug 2017.
    10. Konstantinos Matakos & Riikka Savolainen & Orestis Troumpounis & Janne Tukiainen & Dimitrios Xefteris, 2024. "Electoral Institutions and Intraparty Cohesion," Journal of Political Economy Microeconomics, University of Chicago Press, vol. 2(4), pages 883-916.
    11. Kazuya Kikuchi, 2022. "Welfare ordering of voting weight allocations," Papers 2208.05316, arXiv.org, revised Mar 2024.
    12. Colignatus, Thomas, 2017. "Comparing votes and seats with a diagonal (dis-) proportionality measure, using the slope-diagonal deviation (SDD) with cosine, sine and sign," MPRA Paper 80965, University Library of Munich, Germany, revised 24 Aug 2017.
    13. de Mouzon, Olivier & Laurent, Thibault & Le Breton, Michel, 2020. "One Man, One Vote Part 2: Measurement of Malapportionment and Disproportionality and the Lorenz Curve," TSE Working Papers 20-1089, Toulouse School of Economics (TSE).
    14. Colignatus, Thomas, 2018. "An overview of the elementary statistics of correlation, R-squared, cosine, sine, and regression through the origin, with application to votes and seats for Parliament," MPRA Paper 84722, University Library of Munich, Germany, revised 20 Feb 2018.

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