Please use this identifier to cite or link to this item:
Title: Electoral cells of largest remainders method
Authors: Gouveia, João 
Sá, E. Marques de 
Keywords: Polytopes; Convexity; Faces; Tilings
Issue Date: 2003
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 03-12 (2003)
Abstract: In an election process, p parties compete for S seats in a parliament. After votes are cast, the electoral result may be thought of as an element x in Rp. Given x, the so-called largest remainders method determines the number ai of seats party i gets in the parliament. The electoral cell determined by (a1,...,ap) is the closure of the set of all results x that determine ai seats for party i, 1<= i<= p. The electoral cells are convex polytopes and tile a hyperplane of Rp. In this paper we give a description of the electoral cells. For a single cell we identify and classify the cell's faces, completely describe its face lattice, and determine its group of automorphisms. It turns out that each face of dimension d arises from a d-unit-cube by a co pression along a diagonal.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

Files in This Item:
File Description SizeFormat
Electoral cells of largest remainders method.pdf277.67 kBAdobe PDFView/Open
Show full item record

Page view(s)

checked on Aug 11, 2022


checked on Aug 11, 2022

Google ScholarTM


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.