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Decyzje

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Year 6/2014 
Issue 21

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

Marek Bożykowski
Uniwersytet Warszawski

Mikołaj Jasiński
Uniwersytet Warszawski

6/2014 (21) Decyzje

DOI 10.7206/DEC.1733-0092.20

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.

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APA style

Partial Homogeneity Structure And Its Impact On Players’ Power. Hybrid Power Indices. (2014). Partial Homogeneity Structure And Its Impact On Players’ Power. Hybrid Power Indices. Decyzje, (21), 5-29. https://doi.org/10.7206/DEC.1733-0092.20 (Original work published 6/2014AD)

MLA style

“Partial Homogeneity Structure And Its Impact On Players’ Power. Hybrid Power Indices”. 6/2014AD. Decyzje, no. 21, 2014, pp. 5-29.

Chicago style

“Partial Homogeneity Structure And Its Impact On Players’ Power. Hybrid Power Indices”. Decyzje, Decyzje, no. 21 (2014): 5-29. doi:10.7206/DEC.1733-0092.20.