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- Conrado Martínez, Xavier Molinero
- MFCS
- 2003

- Josep Freixas, Xavier Molinero
- Discrete Applied Mathematics
- 2009

- Josep Freixas, Xavier Molinero
- Annals OR
- 2009

A basic problem in the theory of simple games and other fields is to study whether a simple game (Boolean function) is weighted (linearly separable). A second related problem consists in studying whether a weighted game has a minimum integer realization. In this paper we simultaneously analyze both problems by using linear programming. For less than 9… (More)

- Josep Freixas, Xavier Molinero
- IEEE Transactions on Neural Networks
- 2008

An important consideration when applying neural networks is the sensitivity to weights and threshold in strict separating systems representing a linearly separable function. Perturbations may affect weights and threshold so that it is important to estimate the maximal percentage error in weights and threshold, which may be allowed without altering the… (More)

- Josep Freixas, Xavier Molinero, Martin Olsen, Maria J. Serna
- RAIRO - Operations Research
- 2011

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 of rules that specifies exactly which collections of “yea” votes yield passage of the issue at hand. Each of these collections of “yea” voters forms a winning coalition. We are… (More)

- Xavier Molinero, Fabián Riquelme, Maria J. Serna
- European Journal of Operational Research
- 2015

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 perform the task of other influential agents. We model this scenario by an influence game, a cooperative simple game in which a team (or coalition) of players succeeds if it is able to… (More)

- José María Alonso-Meijide, Josep Freixas, Xavier Molinero
- Applied Mathematics and Computation
- 2012

In this paper we propose methods to compute the Deegan-Packel, the Public Good, and the Shift power indices by generating functions for the particular case of weighted voting games. Furthermore, we define a new power index which combines the ideas of the Shift and the Deegan-Packel power indices and also propose a method to compute it with generating… (More)

- Josep Freixas, Xavier Molinero, Martin Olsen, Maria J. Serna
- ArXiv
- 2008

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 of rules that specifies exactly which collections of “yea” votes yield passage of the issue at hand. A collection of “yea” voters forms a winning coalition. We are interested on… (More)

- Josep Freixas, Xavier Molinero
- Optimization Methods and Software
- 2010

- Josep Freixas, Xavier Molinero, Salvador Roura
- Annals OR
- 2012