MATHEMATICS OF THE 2023 LOCAL
ELECTIONS IN BULGARIA

Mihail Konstantinov$^{1, *}$, Juliana Boneva $^2$,
Julius Pavloff $^3$, Simeon Konstantinov $^4$,
Ekaterina Madamlieva $^5$

$^{1,2}$ University of Architecture, Civil
Engineering and Geodesy
Sofia 1164 , BULGARIA

$^3$ Center for Analyses and Marketing
Sofia 1421, BULGARIA

$^4$ Université Paris Panthéon-Sorbonne
75231 Paris cedex 05, FRANCE

$^5$ Technical University of Sofia
Sofia 1000, BULGARIA

Abstract


Abstract. The paper is devoted to the mathematical aspects of the nationwide local elections held in Bulgaria on October 29 and November 5, 2023. In particular Pearson correlation between voting for municipal mayors and municipal councilors in large municipalities is analyzed. Mobilization coefficients of candidates are introduced and studied for both local and presidential elections. Eligibility margins of independent candidates, reversals in runoffs and paradoxes in local elections are also studied. Most of these issues are considered for the first time. Thus the aphorism “Elections are cross point of law and mathematics” is illustrated.

Received: 30 Nov. 2023

AMS Subject Classification: 62P20

Key Words and Phrases: local elections, correlation of voting, mobilization coefficient, reversal in runoff, eligibility margin, voting paradoxes

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How to cite this paper?
DOI: 10.12732/ijam.v36i6.9
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2023
Volume: 36
Issue: 6
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