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, binary=FALSE.

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]