dualgame {TUGLab} | R Documentation |
Dual game
Description
Given the characteristic function of a game, this function returns the characteristic function of the dual game.
Usage
dualgame(v)
Arguments
v |
A characteristic function, as a vector. |
Details
The dual game of v\in G^N
is defined by v^D(S)=v(N)-v(N\backslash S)
for all S \in 2^N
.
Value
The characteristic function of the dual game. It is to be interpreted according to the order that v
is introduced in.
Examples
v <- c(rep(0,4),rep(5,6),rep(20,4),40)
dualgame(v)
v <- seq(1:31)
dualgame(v)
dualgame(dualgame(v)) == v
[Package TUGLab version 0.0.1 Index]