codebin2lex {TUGLab} | R Documentation |
Binary order position to lexicographic order position
Description
Given the binary order position of a coalition, this function returns the corresponding lexicographic order position.
Usage
codebin2lex(n, Nbin)
Arguments
n |
Number of players, as an integer. |
Nbin |
A binary order position, as an integer between 1 and |
Details
The binary order position of a coalition S\in 2^N
is given by \sum_{i\in S} 2^{i-1}
. Lexicographic order arranges coalitions in ascending order according to size, and applies lexicographic order to break ties among coalitions of the same size.
Value
The corresponding lexicographic order position, as an integer between 1 and 2^{\code{n}}-1
.
See Also
Examples
codebin2lex(5, 4)
[Package TUGLab version 0.0.1 Index]