The Owen and the Owen-Banzhaf values applied to the study of the Madrid Assembly and the Andalusian Parliament in legislature 2015-2019

This work focuses on the Owen value and the Owen-Banzhaf value, two classical concepts of solution defined on games with structure of coalition blocks. We provide a computation procedure for these solutions based on a method of double-level work obtained from the multilinear extension of the original game. Moreover, two applications to several possible political situations in the Madrid Assembly and the Andalusian Parliament (legislatures 2015-2019) are also given.Peer ReviewedPostprint (published version

On the axiomatic characterization of the coalitional multinomial probabilistic values

The coalitional multinomial probabilistic values extend the notion of multinomial probabilistic value to games with a coalition structure, in such a way that they generalize the symmetric coalitional binomial semivalues and link and combine the Shapley value and the multinomial probabilistic values. By considering the property of balanced contributions within unions, a new axiomatic characterization is stated for each one of these coalitional values, provided that it is defined by a positive tendency profile, by means of a set of logically independent properties that univocally determine the value. Two applications are also shown: (a) to the Madrid Assembly in Legislature 2015–2019 and (b) to the Parliament of Andalucía in Legislature 2018–2022.This research project was partially supported by funds from the Spanish Ministry of Science and Innovation under grant PID2019-104987GB-I00.Peer ReviewedPostprint (published version

Publicacions científiques de l'Escola Politècnica Superior d'Enginyeria de Manresa (EPSEM) curs 2018-2019

Aquest informe recull les publicacions del personal docent i investigador de l'Escola Politècnica Superior d'Enginyeria de Manresa (EPSEM) durant el curs acadèmic 2018-2019. Informació extreta de Futur.upc.edu, i analitzada a Scopus.Postprint (published version

The Owen and the Owen-Banzhaf values applied to the study of the Madrid Assembly and the Andalusian Parliament in legislature 2015-2019

This work focuses on the Owen value and the Owen-Banzhaf value, two classical concepts of solution defined on games with structure of coalition blocks. We provide a computation procedure for these solutions based on a method of double-level work obtained from the multilinear extension of the original game. Moreover, two applications to several possible political situations in the Madrid Assembly and the Andalusian Parliament (legislatures 2015-2019) are also given.Peer Reviewe