Résumé en anglais

In this paper we shortly introduce an application of a method based onpower indices and coalitional games to design a weighted majority voting system in practice. More specifically, we solve an inverse Banzhaf index problem in order to decide the weight of "great electors" within the electoral college for the election of the members of the Administration Board and the Academic Senate of the Paris Sciences & Lettres University. The method used and the relevant parameters of our analysis are presented and discussed.