Geodesic
2D Apportionment Methods
Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 190-197.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

The paper deals with 2D proportional (or bi-proportional) electoral systems in which the number of party mandates is determined at a nation wide level while the personification of mandates is done through regional party lists. In addition, the number of mandates in each region is preliminary determined proportionally to the population. Variants of such systems have been used in seven parliamentary elections in Bularia during the period 1990–2009. These systems as well as new improved 2D apportionment methods are considered. Results from numerical simulations with data rom the 2009 Bulgarian parliamentary elections are given. * 2000 Mathematics Subject Classification: Primary 91B12, Secondary 91B14.
Keywords: 2D Proportional Electoral Systems, Integer Optimization, 2D Electoral Paradoxes 
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Konstantinov, Mihail; Yanev, Kostadin; Pelova, Galina; Boneva, Juliana. 2D Apportionment Methods. Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 190-197. http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a19/