perfectcoregame {TUGLab} | R Documentation |
Perfect core game
Description
This function returns the perfect core game with a given number of players.
Usage
perfectcoregame(n, binary = FALSE)
Arguments
n |
A number of players, as an integer. |
binary |
A logical value. By default, |
Details
The perfect core game of n
players is defined by
v_P(S)=s-\sqrt{\frac{s(n-s)}{n-1}}\text{ for all }S\in 2^N,
where s=|S|
.
Value
The characteristic function of the perfect core game with n
players, as a vector in binary order if binary=TRUE
and in lexicographic order otherwise.
References
Shapley, L. S. (1971). Cores of convex games. International Journal of Game Theory, 1(3), 11-26.
Examples
perfectcoregame(6)
[Package TUGLab version 0.0.1 Index]