unanimitygame {TUGLab}R Documentation

Unanimity game

Description

This function returns the characteristic function of the unanimity game of a coalition.

Usage

unanimitygame(n, S, binary = FALSE)

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.

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.

Examples

unanimitygame(n=4,S=7)

[Package TUGLab version 0.0.1 Index]