8 citations · 23 across the 8 of their papers we have counts for
10 papers
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 Construction of High Dimensional Simple Games
Martin Olsen, Sascha Kurz, Xavier Molinero
Voting is a commonly applied method for the aggregation of the preferences of multiple agents into a joint decision. If preferences are binary, i.e., "yes" and "no", every voting s…
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…
Power indices of influence games and new centrality measures for social networks
Xavier Molinero, Fabián Riquelme, Maria Serna
In social network analysis, there is a common perception that influence is relevant to determine the global behavior of the society and thus it can be used to enforce cooperation b…
Social Influence as a Voting System: a Complexity Analysis of Parameters and Properties
Xavier Molinero, Fabián Riquelme, Maria Serna
We consider a simple and altruistic multiagent system in which the agents are eager to perform a collective task but where their real engagement depends on the willingness to perfo…
A Fibonacci sequence for linear structures with two types of components
Josep Freixas, Xavier Molinero, Salvador Roura
We investigate binary voting systems with two types of voters and a hierarchy among the members in each type, so that members in one class have more influence or importance than me…
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…