Browsing by Author "Alonso-Meijide, J. M."
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- Characterizations of power indices based on null player free winning coalitionsPublication . Álvarez-Mozos, M.; Ferreira, Flávio; Alonso-Meijide, J. M.; Pinto, Alberto A.In this paper, we characterize two power indices introduced in [1] using two different modifications of the monotonicity property first stated by [2]. The sets of properties are easily comparable among them and with previous characterizations of other power indices.
- Power indices applied to Portuguese ParliamentPublication . Alonso-Meijide, J. M.; Ferreira, Flávio; Álvarez-Mozos, M.; Pinto, Alberto A.In this paper, we apply the following four power indices to the Portuguese Parliament: Shapley–Shubik index, Banzhaf index, Deegan–Packel index and Public Good Index. We also present the main notions related with simple games and discuss the features of each power index by means of their axiomatic characterizations.
- Two new power indices based on winning coalitionsPublication . Alonso-Meijide, J. M.; Ferreira, Flávio; Álvarez-Mozos, M.; Pinto, Alberto A.Deegan and Packel (1979) and Holler (1982) proposed two power indices for simple games: the Deegan–Packel index and the Public Good Index. In the definition of these indices, only minimal winning coalitions are taken into account. Using similar arguments, we define two new power indices. These new indices are defined taking into account only those winning coalitions that do not contain null players. The results obtained with the different power indices are compared by means of two real-world examples taken from the political field.