rawBanzhafIndex {CoopGame} | R Documentation |
Compute raw Banzhaf Index
Description
Raw Banzhaf Index for a specified simple game, see formula (7.4) on p. 118 of the book by Chakravarty, Mitra and Sarkar
Usage
rawBanzhafIndex(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 numeric vector which contains the raw Banzhaf index for each player.
Author(s)
Johannes Anwander anwander.johannes@gmail.com
Jochen Staudacher jochen.staudacher@hs-kempten.de
References
Chakravarty S.R., Mitra M. and Sarkar P. (2015) A Course on Cooperative Game Theory, Cambridge University Press, pp. 118–119
Examples
library(CoopGame)
rawBanzhafIndex(apexGameVector(n=3, apexPlayer=1))
v<- apexGameVector(n = 4,apexPlayer=3)
rawBanzhafIndex(v)
#[1] 2 2 6 2
#N=c(1,2,3), w=(50,49,1), q=51
v=weightedVotingGameVector(n=3, w=c(50,49,1),q=51)
rawBanzhafIndex(v)
#[1] 3 1 1
v<-weightedVotingGameVector(n=3,w=c(50,30,20),q=c(67))
rawBanzhafIndex(v)
#[1] 3 1 1
[Package CoopGame version 0.2.2 Index]