Семинар Института проблем управления РАН «Экспертные оценки и анализ данных»

27 января в 14.30 в Национальном исследовательском университете "Высшая школа экономики" состоялся семинар Института проблем управления РАН «Экспертные оценки и анализ данных».

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

Руководители семинара:

• д.т.н., проф. Алескеров Фуад Тагиевич
• д.т.н., член-корреспондент РАН Новиков Дмитрий Александрович

Аннотация: 

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.