rawBanzhafIndex: Compute raw Banzhaf Index

In CoopGame: Important Concepts of Cooperative Game Theory

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 [e-mail]

Jochen Staudacher [e-mail]

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

CoopGame documentation built on Aug. 24, 2021, 1:07 a.m.