pi.johnston: Power based on the Johnston index.

In powerindexR: Measuring the Power in Voting Systems

Power based on the Johnston index.

Description

This function determines the distribution of the power based on the Johnston index.

Usage

pi.johnston(quota, weights, quasiminimal = FALSE)

Arguments

quota	Numerical value that represents the majority in a given voting.
weights	Numerical vector of dimension n that indicates the weights of n agents in a given voting.
quasiminimal	Logical option to obtain the Quasi-Minimal Winning Coalitions.

Value

Johnston	The Jonhston index.
Number of Quasi-Minimal Winning Coalitions	Total amount of Quasi-Minimal Winning Coalitions.
Quasi-Minimal Winning Coalitions	Each row indicates a binary representation of each Quasi-Minimal Winning Coalition.

Author(s)

Livino M. Armijos-Toro, Jose M. Alonso-Meijide, Manuel A. Mosquera, Alejandro Saavedra-Nieves.

References

Johnston, R. J. (1978). On the measurement of power: Some reactions to Laver. Environment and Planning A, 10(8), 907-914.

Examples

weights<-c(137,85,71,32,9,8,5,2,1) 
quota<-176
pi.johnston(176,weights,quasiminimal=TRUE)

powerindexR documentation built on June 24, 2024, 5:18 p.m.