getcoalition {TUGLab} | R Documentation |
Get coalition
Description
This function returns the players that form the coalition whose binary order position coincides with the given integer.
Usage
getcoalition(num)
Arguments
num |
A binary order position of a coalition, as an integer. |
Details
A coalition S\in 2^N
can be represented by the n
-digit binary number s_1\dots s_n
in which s_i=1
if i\in S
and s_i=0
otherwise. The binary order position of a coalition S\in 2^N
is given by \sum_{i\in S} 2^{i-1}
.
Value
The players that form the coalition whose binary order position is the given integer, as a vector.
See Also
codebin2lex, codelex2bin, getcoalitionnumber
Examples
num <- 5
getcoalition(num)
n <- 4
for (i in 1:(2^n - 1)){
cat("[", i, "]", paste(getcoalition(i)),"\n")
}
[Package TUGLab version 0.0.1 Index]