getWinningCoalitions: Compute winning coalitions in a simple game
In CoopGame: Important Concepts of Cooperative Game Theory

Description Usage Arguments Value Author(s) References Examples

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

1	getWinningCoalitions(v)

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

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

Jochen Staudacher jochen.staudacher@hs-kempten.de

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

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