publicGoodIndex {CoopGame} | R Documentation |
Calculates the Public Good index (aka Holler index) for a specified simple game.
publicGoodIndex(v)
v |
Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players |
The return value is a vector containing the Public Good index
Johannes Anwander anwander.johannes@gmail.com
Jochen Staudacher jochen.staudacher@hs-kempten.de
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
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