raeIndex {CoopGame}

Compute Rae index

Description

raeIndex calculates the Rae index for a specified simple TU game. Note that in general the Rae index is not an efficient vector, i.e. the sum of its entries is not always 1. Hence no drawing routine for the Rae index is provided.

Usage

raeIndex(v)

Arguments

v

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

Value

Rae index for specified simple game

Author(s)

Jochen Staudacher [e-mail]

References

Rae, D.W. (1969) "Decision-rules and individual values in constitutional choice", American Political Science Review 63(1), pp. 40–56

Chakravarty S.R., Mitra M. and Sarkar P. (2015) A Course on Cooperative Game Theory, Cambridge University Press, pp. 119–120

Examples

library(CoopGame) 
v=c(0,0,0,1,1,0,1)
raeIndex(v) 


library(CoopGame)
v=c(0,0,0,0,1,1,0,0,0,0,1,1,1,0,1)
raeIndex(v)
#result: [1] 0.875 0.625 0.625 0.500