@book{168114694c264f938ba3bb3d7efc7358,
title = "Weighted and restricted Deegan-Packel power indices",
abstract = "In the paper we introduce weighted and restricted versions of the Deegan-Packel power index. We show that the classical Deegan-Packel index, which was proposed as an alternative to the Shapley-Shubik index, in fact coincides with the Shapley value of some specific game determined by the set of minimal winning coalitions, and therefore, it has close affinities with the Shapley-Shubik index. We investigate monotonicity properties of the weighted Deegan-Packel index and introduce easy to check conditions under which it is monotonic with respect to the players' weights. An axiomatic characterization of the weighted Deegan-Packel index is provided. The computations done for three real-life examples from realm of politics demonstrate clearly the coincidence of our theoretical predictions with the reality.",
keywords = "simple games, Deegan-Packel power index, party's weight, communication graph",
author = "Khmelnitskaya, \{Anna Borisovna\} and Michela Chessa",
year = "2020",
month = oct,
day = "1",
language = "English",
series = "TW-Memoranda",
publisher = "University of Twente",
number = "2070",
address = "Netherlands",
}