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Complete voting systems with two types of voters: weightedness and counting

Autor
Freixas, J.; Molinero, X.; Roura, S.
Tipus d'activitat
Article en revista
Revista
Annals of operations research
Data de publicació
2012-03
Volum
193
Número
1
Pàgina inicial
273
Pàgina final
289
DOI
https://doi.org/10.1007/s10479-011-0863-x Obrir en finestra nova
Projecte finançador
TEORÍA DE JUEGOS Y SISTEMAS DE DECISIÓN COLECTIVA CON APLICACIONES TECNOLÓGICAS, ECONÓMICAS, POLÍTICAS Y SOCIOLÓGICAS
Repositori
http://hdl.handle.net/2117/16145 Obrir en finestra nova
URL
http://www.springerlink.com/content/g7744838411655r2/?MUD=MP Obrir en finestra nova
Resum
We investigate voting systems with two classes of voters, for which there is a hierarchy giving each member of the stronger class more influence or important than each member of the weaker class. We deduce for voting systems one important counting fact that allows determining how many of them are for a given number of voters. In fact, the number of these systems follows a Fibonacci sequence with a smooth polynomial variation on the number of voters. On the other hand, we classify by means of som...
Citació
Freixas, J.; Molinero, X.; Roura, S. Complete voting systems with two types of voters: weightedness and counting. "Annals of operations research", 2012, vol. 193, núm. 1, p. 273-289.
Paraules clau
Complete simple games, Fibonacci sequence, Simple games, Voting systems, Weighted games
Grup de recerca
ALBCOM - Algorismia, Bioinformàtica, Complexitat i Mètodes Formals
GRTJ - Grup de Recerca en Teoria de Jocs

Participants