Índices de poder en sistemas de votación: aplicación al Brexit

Abstract

[en] In this project, it is shown how decision-making situations between different people can be represented mathematically. In particular, the focus is on voting systems in which voters make a decision and we will consider that they can form coalitions with each other in order to obtain the desired result. This will be represented by weighted voting games. Next, the power indices that are measures to know the power of a voter within a voting system will be presented. Different power indices and the properties that characterize them will be studied. Also some paradoxes that occur related to these indices are mentioned. Finally, an application of the concepts will be made to the study of the change of power in the member countries of the Council of the European Union before and after Brexit.