| createBitMatrix {CoopGame} | R Documentation |
create bit matrix
Description
createBitMatrix creates a bit matrix with (numberOfPlayers+1) columns and (2^numberOfPlayers-1) rows which contains all possible coalitions (apart from the null coalition) for the set of all players. Each player is represented by a column which describes if this player is either participating (value 1) or not participating (value 0). The last column (named cVal) contains the values of each coalition. Accordingly, each row of the bit matrix expresses a coalition as a subset of all players.
Usage
createBitMatrix(n, A = NULL)
Arguments
n |
represents the number of players |
A |
Numeric vector of appropriate size |
Value
The return is a bit matrix containing all possible coalitions apart from the empty coalition
Author(s)
Johannes Anwander anwander.johannes@gmail.com
Jochen Staudacher jochen.staudacher@hs-kempten.de
Examples
library(CoopGame)
createBitMatrix(3,c(0,0,0,60,60,60,72))
library(CoopGame)
A=weightedVotingGameVector(n=3,w=c(1,2,3),q=5)
bm=createBitMatrix(3,A)
bm
# Output:
# cVal
# [1,] 1 0 0 0
# [2,] 0 1 0 0
# [3,] 0 0 1 0
# [4,] 1 1 0 0
# [5,] 1 0 1 0
# [6,] 0 1 1 1
# [7,] 1 1 1 1