gloveGame {CoopGame}

Construct a glove game

Description

Create a list containing all information about a specified glove game:
We have a set of players L with left-hand gloves and a set of players R with right-hand gloves. The worth of a coalition S equals the number of pairs of gloves the members of S can make. Note that the sets L and R have to be disjoint.

Usage

gloveGame(n, L, R)

Arguments

n

represents the number of players

L

numeric vector of players owning one left-hand glove each

R

numeric vector of players owning one right-hand glove each

Value

A list with four elements representing the glove game (n, L, R, Game vector v)

Related Functions

gloveGameValue, gloveGameVector

Author(s)

Jochen Staudacher [e-mail]

References

Peters H. (2015) Game Theory: A Multi-Leveled Approach, 2nd Edition, Springer, pp. 155–156

Examples

library(CoopGame)
gloveGame(n=3,L=c(1,2), R=c(3))


#Example with four players: 
#players 1, 2 and 4 hold a left-hand glove each, 
#player 3 holds a right-hand glove. 
library(CoopGame)
(vv<-gloveGame(n=4,L=c(1,2,4), R=c(3)))
#$n
#[1] 3

#$L
#[1] 1 2 4
#
#$R
#[1] 3
#
#$v
#[1] 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1