colemanInitiativePowerIndex {CoopGame}

Compute Coleman Initiative Power index

Description

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

Usage

colemanInitiativePowerIndex(v)

Arguments

v

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

Value

Coleman Initiative Power index for specified simple game

Author(s)

Jochen Staudacher [e-mail]

References

Coleman J.S. (1971) "Control of collectivities and the power of a collectivity to act". In: Liberman B. (Ed.), Social Choice, Gordon and Breach, pp. 269–300

Chakravarty S.R., Mitra M. and Sarkar P. (2015) A Course on Cooperative Game Theory, Cambridge University Press, pp. 120–123

De Keijzer B. (2008) "A survey on the computation of power indices", Technical Report, Delft University of Technology, p. 18

Bertini C. and Stach I. (2011) "Coleman index", Encyclopedia of Power, SAGE Publications, p. 117–119

Examples

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