Publicacions científiques de l'Escola Politècnica Superior d'Enginyeria de Manresa (EPSEM) curs 2016-2017

Aquest informe recull les publicacions del personal docent i investigador de l'Escola Politècnica Superior d'Enginyeria de Manresa (EPSEM) durant el curs 2016-2017. Informació extreta de Futur.upc.edu i analitzada amb Scopus. Informe elaborat per la Biblioteca del Campus Universitari de Manresa amb l'objectiu de proveir de dades la memòria del curs.Postprint (published version

Preorders in simple games

The final authenticated version is available online at: https://doi.org/10.1007/978-3-319-70647-4_5.Any power index defines a total preorder in a simple game and, thus, induces a hierarchy among its players. The desirability relation, which is also a preorder, induces the same hierarchy as the Banzhaf and the Shapley indices on linear games, i.e., games in which the desirability relation is total. The desirability relation is a sub–preorder of another preorder, the weak desirability relation, and the class of weakly linear games, i.e., games for which the weak desirability relation is total, is larger than the class of linear games. The weak desirability relation induces the same hierarchy as the Banzhaf and the Shapley indices on weakly linear games. In this paper, we define a chain of preorders between the desirability and the weak desirability preorders. From them we obtain new classes of totally preordered games between linear and weakly linear games.Peer ReviewedPostprint (author's final draft

Preorders in simple games

The final authenticated version is available online at: https://doi.org/10.1007/978-3-319-70647-4_5.Any power index defines a total preorder in a simple game and, thus, induces a hierarchy among its players. The desirability relation, which is also a preorder, induces the same hierarchy as the Banzhaf and the Shapley indices on linear games, i.e., games in which the desirability relation is total. The desirability relation is a sub–preorder of another preorder, the weak desirability relation, and the class of weakly linear games, i.e., games for which the weak desirability relation is total, is larger than the class of linear games. The weak desirability relation induces the same hierarchy as the Banzhaf and the Shapley indices on weakly linear games. In this paper, we define a chain of preorders between the desirability and the weak desirability preorders. From them we obtain new classes of totally preordered games between linear and weakly linear games.Peer Reviewe