IMCS/Publications/CSJM/Issues/CSJM v.28, n.1 (82), 2020/

Apportionment "Population paradox" and the Paradox of population influence

Authors: Ion Bolun
Keywords: apportionment method, population paradox, paradox of population influence, computer simulation, comparative analyses.


A new approach is grounded with respect to the population paradox (PPr). Further on, the paradox of population influence (PPi) is proposed. It is proven that Hamilton method is immune to the PPi, and that d'Hondt, Sainte-Laguë, Huntington-Hill and Adapted Sainte-Laguë methods - are not. By computer simulation, the percentage of non-immunity of Hamilton method to PPr, and the one of d'Hondt, Sainte-Laguë, Huntington-Hill and Adapted Sainte-Laguë divisor methods to PPi, is estimated. For a large range of initial data, this percentage, in the case of the four investigated divisor methods, does not exceed, on average, 0.6-0.8 %, that is one case per a total of 120-170 cases.

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