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On the extended dimensionality of simple games

Author
Molinero, X.; Riquelme, F.; Roura, S.; Serna, M.
Type of activity
Presentation of work at congresses
Name of edition
XIII Balkan Conference on Operational Research
Date of publication
2018
Presentation's date
2018-05-27
Book of congress proceedings
XIII Balkan Conference on Operational Research: book of abstracts: Belgrade, 25-28 May, 2018
First page
B6
Last page
B6
Project funding
2009 SGR 1029-Grup de recerca de teoria de jocs (L-00411)
Algorísmia, Bioinformàtica, Complexitat i Mètodes Formals ALBCOM
Repository
http://balcor2018.fon.bg.ac.rs/download/BALCOR2018BookOfAbstracts.pdf Open in new window
Abstract
Given n players, a simple game is a 0/1 valued TU cooperative game verifying unanimity and monotonicity. In such a game, a coalition, i.e., a subset of players, always wins (winning coalition) or loses (losing coalition). It is known that each simple simple can be expressed as the intersection (or the union) of weighted voting games. A simple game is called weighted voting (majority) game if there is a quote q and an assignment of a non-negative integer weight to each player in such a way tha...
Keywords
Codimension, Dimension, Simple game, Weighted voting game
Group of research
ALBCOM - Algorithms, Computational Biology, Complexity and Formal Methods
GRTJ - Game Theory Research Group

Participants