Institute of Control Sciences seminar "Expert opinion and data analysis"

On Wednesday, January 27, the National Research University Higher School of Economics hosted an Institute of Control Sciences seminar "Expert opinion and data analysis".

Тема: «Weighted and restricted Deegan-Packel power indices»
Докладчик: Anna Khmelnitskaya (Saint-Petersburg State University), Michela Chessa (Universite Cote d'Azur, GREDEG, France)

Seminar leaders:
Doctor of Technical Sciences, prof. Aleskerov Fuad Tagievich
Doctor of Technical Sciences, prof. Novikov Dmitriy Aleksandrovich

Annotation :
We introduce weighted and restricted versions of the Deegan-Packel power index. It is shown 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 historical examples from realm of politics demonstrate clearly the coincidence of our theoretical predictions with the reality.