unanimitygame: Unanimity game
Description
This function returns the characteristic function of the unanimity game of a coalition.
Usage
unanimitygame(n, S, binary = FALSE)
Value
The characteristic function of the unanimity game of coalition S
, as a vector in binary order if binary=TRUE
and in lexicographic order otherwise.
Arguments
- n
Number of players, as an integer.
- S
The position of a coalition, as an integer.
- binary
A logical value. By default, binary=FALSE
. Should be set to TRUE
if S
is introduced according to binary order instead of lexicographic order.
Details
The characteristic function of the unanimity game of a coalition \(S\in 2^N\)
is defined, for each \(R\in 2^N\), as \(u_S(R)=1\) if \(S\subset R\) and \(u_S(R)=0\) otherwise.