5 citations · 6 across the 5 of their papers we have counts for
6 papers · 1 filter
Principal Component Analysis and Power Indices
Xavier Molinero, Enric Monsó, Daniel Samaniego
Measuring the influence of a player in a simple game is a widely studied topic. Shapley-Shubik power index is perhaps the maximum exponent in terms of relevance. Furthermore, other…
Markov chains applied to Parrondo's paradox: The coin tossing problem
Xavier Molinero, Camille Mègnien
Parrondo's paradox was introduced by Juan Parrondo in 1996. In game theory, this paradox is described as: A combination of losing strategies becomes a winning strategy. At first gl…
Measuring satisfaction in societies with opinion leaders and mediators
Xavier Molinero, Fabián Riquelme, Maria Serna
An opinion leader-follower model (OLF) is a two-action collective decision-making model for societies, in which three kinds of actors are considered: "opinion leaders", "followers"…
Dimension and codimension of simple games
Sascha Kurz, Xavier Molinero, Martin Olsen +1
This paper studies the complexity of computing a representation of a simple game as the intersection (union) of weighted majority games, as well as, the dimension or the codimensio…
On the Complexity of Exchanging
X. Molinero, M. Olsen, M. Serna
We analyze the computational complexity of the problem of deciding whether, for a given simple game, there exists the possibility of rearranging the participants in a set of gi…
The Complexity of Testing Properties of Simple Games
Josep Freixas, Xavier Molinero, Martin Olsen +1
Simple games cover voting systems in which a single alternative, such as a bill or an amendment, is pitted against the status quo. A simple game or a yes-no voting system is a set…