CoopGame (version 0.2.2)

getWinningCoalitions: Compute winning coalitions in a simple game

Description

The function getWinningCoalitions identifies all winning coalitions of a specified simple game.

Usage

getWinningCoalitions(v)

Arguments

v

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

Value

A data frame containing all winning coalitions for a simple game.

References

Bertini C., Gambarelli G. and Stach I. (2008) "A public help index", In: Braham, M. and Steffen, F. (Eds): Power, freedom, and voting: Essays in Honour of Manfred J. Holler, pp. 83--98

Bertini C. and Stach I. (2015) "On Public Values and Power Indices", Decision Making in Manufacturing and Services 9(1), pp. 9--25

Stach I. (2016) "Power Measures and Public Goods", In: Nguyen, N.T. and Kowalczyk, R. (Eds.): Transactions on Computational Collective Intelligence XXIII, Springer, pp. 99--110

Examples

# NOT RUN {
library(CoopGame)
getWinningCoalitions(v=c(0,0,0,1,0,1,1))

# }
# NOT RUN {
library(CoopGame)
v=weightedVotingGameVector(n=3,w=c(1,2,3),q=5)
getWinningCoalitions(v)
# Output:
#   V1 V2 V3 cVal
# 6  0  1  1    1
# 7  1  1  1    1
# => the coalition containing player 2 and 3 and 
#    the grand coalition are winning coalitions
# }
# NOT RUN {
# }