| getWinningCoalitions {CoopGame} | R Documentation |
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.
Author(s)
Jochen Staudacher jochen.staudacher@hs-kempten.de
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
library(CoopGame)
getWinningCoalitions(v=c(0,0,0,1,0,1,1))
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