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## Over- and Underrepresentation in Proportional Electoral Systems -- an Empirical Study

Marošević, Tomislav
Over- and Underrepresentation in Proportional Electoral Systems -- an Empirical Study // Mathematical Communications - Supplement, 1 (2001), 1; 33-41. (podatak o recenziji nije dostupan, članak, znanstveni)

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Naslov
Over- and Underrepresentation in Proportional Electoral Systems -- an Empirical Study

Autori
Marošević, Tomislav

Izvornik
Mathematical Communications - Supplement (1333-0829) 1 (2001), 1; 33-41.

Ključne riječi
proportional electoral systems; over- and underrepresentation; quotient and divisor methods

Sažetak
We consider the proportional electoral seat allocation methods, with respect to the problem of fair seat distributions or a fair representation. Let n be the total number of parties, s=(s_1, ..., s_n) be the vector of seats assigned to corresponding parties and let v=(v_1, ..., v_n) be the vector of votes each party receives. In general, since there exists the integer constraint on the number of seats, s_i integers for all i=1, ..., n, over- and underrepresentation of the parties appear. With respect to the quality of the representation, one can define a representation vector y=(y_1, ..., y_n\$, where y_i=s_i / v_i is a seat-to-vote ratio (seat density per vote) of the party i, i=1, ..., n. In relation to the representation vector y, we look at the so-called Lorenz curve and Gini concentration index, as well as the concept of majorization, as the measure of fair seat distributions, which have their origin in the measurement of fair income distributions in welfare economics. We apply several traditional quotient (largest remainders) methods and divisor methods to certain historical data. By an empirical study and simulation experiments we compare various methods from the viewpoint of the representation quality.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Projekti:
165021

Ustanove:
Fakultet elektrotehnike, računarstva i informacijskih tehnologija Osijek

Profili:

Tomislav Marošević (autor)

#### Citiraj ovu publikaciju:

Marošević, Tomislav
Over- and Underrepresentation in Proportional Electoral Systems -- an Empirical Study // Mathematical Communications - Supplement, 1 (2001), 1; 33-41. (podatak o recenziji nije dostupan, članak, znanstveni)
Marošević, T. (2001) Over- and Underrepresentation in Proportional Electoral Systems -- an Empirical Study. Mathematical Communications - Supplement, 1 (1), 33-41..
@article{article, author = {Maro\v{s}evi\'{c}, Tomislav}, year = {2001}, pages = {33-41.}, keywords = {proportional electoral systems, over- and underrepresentation, quotient and divisor methods}, journal = {Mathematical Communications - Supplement}, volume = {1}, number = {1}, issn = {1333-0829}, title = {Over- and Underrepresentation in Proportional Electoral Systems -- an Empirical Study}, keyword = {proportional electoral systems, over- and underrepresentation, quotient and divisor methods} }
@article{article, author = {Maro\v{s}evi\'{c}, Tomislav}, year = {2001}, pages = {33-41.}, keywords = {proportional electoral systems, over- and underrepresentation, quotient and divisor methods}, journal = {Mathematical Communications - Supplement}, volume = {1}, number = {1}, issn = {1333-0829}, title = {Over- and Underrepresentation in Proportional Electoral Systems -- an Empirical Study}, keyword = {proportional electoral systems, over- and underrepresentation, quotient and divisor methods} }

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