deeganPackelIndex {CoopGame}

Compute Deegan-Packel index

Description

deeganPackelIndex calculates the Deegan-Packel index for simple games

Usage

deeganPackelIndex(v)

Arguments

v

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

Value

Deegan-Packel index for a specified simple game

Author(s)

Johannes Anwander [e-mail]

Michael Maerz

Jochen Staudacher [e-mail]

References

Deegan J. and Packel E.W. (1978) "A new index of power for simple n-person games", Int. Journal of Game Theory 7(2), pp. 151–161

Holler M.J. and Illing G. (2006) "Einfuehrung in die Spieltheorie". 6th Edition (in German), Springer, pp. 323–324

Examples

library(CoopGame)
deeganPackelIndex(c(0,0,0,0,1,0,1))


#Example from HOLLER & ILLING (2006), chapter 6.3.3
#Expected result: dpv=(18/60,9/60,11/60,11/60,11/60)
library(CoopGame)
v1=weightedVotingGameVector(n = 5, w=c(35,20,15,15,15), q=51)
deeganPackelIndex(v1)
#Output (as expected, see HOLLER & ILLING chapter 6.3.3) :
#[1] 0.3000000 0.1500000 0.1833333 0.1833333 0.1833333