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Enumerations of voting systems: Fibonacci sequences and the gold number

Author
Freixas, J.; Kurz, S.
Type of activity
Presentation of work at congresses
Name of edition
25th European Conference on Operational Research
Date of publication
2012
Presentation's date
2012-07-09
Book of congress proceedings
25th European Conference on Operational Research: conference programme: 8-11 July 2012, Vilnius, Lithuania: EURO 2012
First page
61
Last page
61
URL
http://www.euro-online.org/conf/display.php?page=treat_abstract&paperid=8208 Open in new window
Abstract
Voting systems are structures which are numerable as a function of the number of voters. The Fibonacci sequences appear regularly for games with some few types of equivalent players and many of them just differ asymptotically by a multiplicative factor, which is the gold number or its square. The paper summarizes enumerations of voting structures which follow some paterns. Additionally, we also point out some problems, related to values of cooperative games, where the number of possible ranking...
Keywords
Combinatorial optimization, Game theory, Multi-criteria decision aids
Group of research
GRTJ - Game Theory Research Group

Participants