Power distribution in the electoral body with an application to the Russian Parliament

This paper presents several new approaches to evaluate power distribution in an electoral body. We define the index of consistency of two groups’ positions (briefly, the consistency index) which is used to separate possible coalitions in the Parliament. This allows to analyze power distribution within restricted coalition formations. Then we provide several new power indices for the case in which the intensity of factions to coalesce is taken into account. Our analysis of the power distribution model extends the one proposed by Shapley-Owen. A new consistency index is given allowing to construct such an extension. We illustrate these approaches via the analysis of power distribution among factions in the Russian Parliament (Duma) from 1993 to 2005.