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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. Kazuya Kikuchi, 2022. "Welfare ordering of voting weight allocations," Papers 2208.05316, arXiv.org, revised Mar 2024.
    4. 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.
    5. 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.
    6. Aaron Brick & Cameron Brick, 2021. "Districting that minimizes partisan bias," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-6, December.
    7. Sarkar, Sandip & Dash, Bharatee Bhusana, 2023. "On the measurement of electoral volatility," Mathematical Social Sciences, Elsevier, vol. 126(C), pages 119-128.
    8. 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.
    9. 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.
    10. 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.
    11. 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).
    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 80833, University Library of Munich, Germany, revised 17 Aug 2017.
    13. 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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