costSharingGameValue {CoopGame} | R Documentation |
Coalition value for a cost sharing game:
For further information see costSharingGame
costSharingGameValue(S, Costs)
S |
numeric vector with coalition of players |
Costs |
A vector containing the costs each coalition has to pay |
Cost savings of coalition S as compared to singleton coalitions
Johannes Anwander anwander.johannes@gmail.com
Jochen Staudacher jochen.staudacher@hs-kempten.de
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
library(CoopGame)
costSharingGameValue(S=c(1,2), 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 when A and B share appartment
library(CoopGame)
costSharingGameValue(S=c(1,2),Costs=c(300,270,280,410,410,410,550))
#Output:
#[1] 160