publicGoodIndex {CoopGame}

Compute Public Good index

Description

Calculates the Public Good index (aka Holler index) for a specified simple game.

Usage

publicGoodIndex(v)

Arguments

v

Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players

Value

The return value is a vector containing the Public Good index

Author(s)

Johannes Anwander [e-mail]

Jochen Staudacher [e-mail]

References

Holler M.J. and Packel E.W. (1983) "Power, luck and the right index", Zeitschrift fuer Nationaloekonomie 43(1), pp. 21–29

Holler M.J. (1982) "Forming coalitions and measuring voting power", Political Studies 30(2), pp. 262–271

Holler M. (2011) "Public Goods index", Encyclopedia of Power, SAGE Publications, pp. 541–542

Examples

library(CoopGame)
publicGoodIndex(v=c(0,0,0,1,1,0,1))


#Example from Holler (2011) illustrating paradox of weighted voting
library(CoopGame)
v=weightedVotingGameVector(n=5,w=c(35,20,15,15,15), q=51)
publicGoodIndex(v) 
#[1] 0.2666667 0.1333333 0.2000000 0.2000000 0.2000000