Published March 15, 2021 | Version v1
Journal article Open

TOTAL FAVORING IN PROPORTIONAL APPORTIONMENTS

Creators

  • 1. Technical University of Moldova, 168, Stefan cel Mare Bd., Chisinau, Republic of Moldova

Description

The notion of “total favoring” of large or of small beneficiaries in proportional apportionments of entities is defined as a particular case of favoring. It is proven that the number of known conditions of total favoring of beneficiaries in an apportionment (APP) can be considerably reduced. Thus, the volume of calculations to be performed for the respective computer simulation was reduced. In order to quantitatively estimate the total favoring of beneficiaries by APP methods, three indicators were used: the percentage of apportionments, in which large beneficiaries are totally favored; the percentage of apportionments, in which small beneficiaries are totally favored; the percentage of total favoring of large or of small beneficiaries, depending on the APP method applied. A total of five APP methods are being researched: Hamilton (Hare), Sainte-Laguë (Webster), d’Hondt (Jefferson), Huntington-Hill and Adapted Sainte-Laguë. Based on results of computer simulation, the total favoring of beneficiaries by these five APP methods was estimated, including comparatively. For example, it has been identified that the d’Hondt method does not always totally favors beneficiaries to a greater extent than the Huntington-Hill method. At the same time, the Adapted Sainte-Laguë method always totally favors small beneficiaries less compared to the Huntington-Hill method.

Files

10.52326jes.utm.2021.28(1).04.pdf

Files (987.2 kB)

Name Size Download all
md5:61e796e0890dda93b377e11904ff4e2b
987.2 kB Preview Download

Additional details

References

  • Balinski M.L., Young H.P. Fair Representation: Meeting the Ideal of One Man, One Vote. 2nd ed. Washington, DC: Brookings Institution Press, 2001.
  • Kohler U., Zeh J. Apportionment methods. The Stata Journal, 2012, 12(3), pp. 375–392.
  • Niemeyer H.F., Niemeyer A.C. Apportionment Methods. Math. Social Sci., Vol. 56, Issue 2 (2008), pp. 240-253. University of Western Australia, arXiv: 1510.07528v1 [math.HO], Oct. 27, 2015, pp. 1-24. (https://arxiv.org/pdf/1510.07528.pdf, accessed 25.07.2020).
  • Gallagher M. Proportionality, Disproportionality and Electoral Systems. Electoral Studies, 1991, 10(1), pp. 33-51.
  • Karpov A. Measurement of disproportionality in proportional representation. Mathematical and Computer Modeling, 2008, 48, pp. 1421-1438.
  • Bolun I. Favoring multioptional decisions. Mathematic modeling, optimization and information technologies. Proc. of int. sc. conf., March 22-25, 2016. Ed. 5, Vol. I. Chisinau: Evrica, ATIC, 2016. – pp. 35-45. [in Romanian]
  • Marshall A., Olkin I. & Pukelsheim F. A majorization comparison of apportionment methods in proportional representation. Social Choice Welfare 19, 885-900 (2002). (https://doi.org/10.1007/s003550200164, accessed 25.07.2020).
  • Bolun I. A criterion for estimating the favoring of beneficiaries in apportionments. Proceedings of Workshop on Intelligent Informatition Systems WIIS2020, December 04-05, 2020. Chisinau: IMI, 2020. – pp. 33-41.
  • Tannenbaum P. Excursions in Modern Mathematics, Seventh Edition. Pearson, 2008. – 704 p.
  • Sorescu A., Pirvulescu C. and al. Electoral systems. Bucharest: Pro Democratia, 2006. – 54 p. [in Romanian].