colemanPreventivePowerIndex {CoopGame} | R Documentation |
Compute Coleman Preventive Power index
Description
Calculates the Coleman Preventive Power index for a specified simple TU game. Note that in general the Coleman Preventive 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 Preventive Power index is provided.
Usage
colemanPreventivePowerIndex(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 Preventive Power index for specified simple game
Author(s)
Jochen Staudacher jochen.staudacher@hs-kempten.de
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)
colemanPreventivePowerIndex(v)