Decyzje

Partial Homogeneity Structure And Its Impact On Players’ Power. Hybrid Power Indices

Bożykowski, Marek Jasiński, Mikołaj

Uniwersytet Warszawski

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Abstract

: The paper presents the probabilistic interpretation of ShapleyShubik index and Banzhaf value and the concept of partial homogeneity structure. Probabilities of being critical can be calculated based on this structure. These probabilities constitute the basis for calculating hybrid power indices, ShapleyShubik index and Banzhaf index being the extreme cases. The paper presents the idea of reconstruction of partial homogeneity structure based on maximum likelihood estimation. This method is based on the same assumptions as hybrid power indices. The method is illustrated by simple heuristic examples and results of analysis of clubs’ voting in 7th term of Sejm – the lower house of the Polish parliament.

Metadata

Journal Decyzje 
Issue 21 
Issue date 6/2014 
Type Article 
Language pl
Pagination 5-29
DOI 10.7206/DEC.1733-0092.20
ISSN 1733-0092
eISSN 2391-761X