CoopGame (version 0.2.2)

costSharingGameValue: Compute value of a coalition for a cost game

Description

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

Usage

costSharingGameValue(S, Costs)

Arguments

S

numeric vector with coalition of players

Costs

A vector containing the costs each coalition has to pay

Value

Cost savings of coalition S as compared to singleton coalitions

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

# NOT RUN {
library(CoopGame)
costSharingGameValue(S=c(1,2), Costs=c(2,2,2,3,3,3,4))

# }
# NOT RUN {
#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
# }
# NOT RUN {
# }