costSharingGameVector {CoopGame}

Compute game vector for a cost sharing game

Description

Coalition vector for a cost sharing game:
For further information see costSharingGame

Usage

costSharingGameVector(n, Costs)

Arguments

n

represents the number of players

Costs

A vector containing the costs each coalition has to pay

Value

Game vector with cost-savings of each coalition S as compared to singleton coalitions.

Author(s)

Jochen Staudacher [e-mail]

Johannes Anwander [e-mail]

References

Peleg B. and Sudhoelter P. (2007) Theory of cooperative games, 2nd Edition, Springer, pp. 14–16

Maschler M., Solan E. and Zamir S. (2013) Game Theory, Cambridge University Press, pp. 667–668

Examples

library(CoopGame)
costSharingGameVector(n=3, Costs=c(2,2,2,3,3,3,4))


#Example with 3 students sharing an appartment:
#-------------------------------
#| costs     |  A  |  B  |  C  |
#- -----------------------------
#|single     | 300 | 270 | 280 |
#|appartment |     |     |     |
#-------------------------------
#
#Appartment for 2 persons => costs: 410
#Appartment for 3 persons => costs: 550

#Savings for all combinations sharing appartments
library(CoopGame)
(v=costSharingGameVector(n=3, Costs=c(300,270,280,410,410,410,550)))
#Output: 
#[1]   0   0   0 160 170 140 300