CoopGame (version 0.2.2)

rawBanzhafIndex: 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.

References

Chakravarty S.R., Mitra M. and Sarkar P. (2015) A Course on Cooperative Game Theory, Cambridge University Press, pp. 118--119

Examples

# NOT RUN {
library(CoopGame)
rawBanzhafIndex(apexGameVector(n=3, apexPlayer=1))

# }
# NOT RUN {
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
# }
# NOT RUN {
# }