Computation of indices of power with incompatibilities

Abstract

In this paper we present the Shapley Value and Banzhaf-Coleman Index of Power with incompatibilities. There are restrictions that some groups present in formation a coalition. It is the case in many applications when there are some antagonistic groups. We developed a computational system which allows the study of applications to voting systems. The data input can be done in two different ways: by considering all the possible coalitions, or only the basic coalitions (political parties, sectorial groups, etc.) We have improved a previous development by allowing a much easier way of introducing the data and allowing the user to introduce group incompatibilities without having to modify the characteristic function (the program manages it). We present a parallel computational implementation of Indices oof Power with incompatibilities. It improves the performance of the system. We present an application of the Power Indices in the Argentinean Deputy House under alternatives scenarios. The resulting system model allows users to work over Windows and Linux platforms.