COMPARISON OF APPORTIONMENT METHODS
IN BULGARIAN ELECTIONS

Abstract

We compare two apportionment methods used in Bulgarian electoral practice in 12 parliamentary elections in the period 1991-2021: the D'Hondt method and the Hare-Niemeyer method. Extreme properties of D'Hondt method are also analyzed for the Bulgarian electoral system consisting of 240 parliamentary seats and 4% barrier. The effect of rounding errors on automatic voting computations is also demonstrated.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 1
Year: 2022

DOI: 10.12732/ijam.v35i1.12

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References

  1. [1] M. Balinski, H. Young, Fair Representation: Meeting the Ideal of One Man, One Vote, Brookings Institution, Washington 2001, ISBN 978-0-8157-01118.
  2. [2] K. Ivanov, N. Kirov, N. Yanev, Optimal regional distribution of party seats in the 40th National Assembly (in Bulgarian), Proceedings of the 35th Spring Conference of the Union of Bulgarian Mathematicians, Sofia 2006, 70-81.
  3. [3] M. Konstantinov, J. Boneva, G. Pelova, Extreme behavior of ap- portionment methods used in Bulgarian elections, Proceedings of the American Institute of Physics, Vol. 2048 (2018), Art. 020040; doi.org/10.1063/1.5082058.