costSharingGameValue: Compute value of a coalition for a cost game

In CoopGame: Important Concepts of Cooperative Game Theory

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

Author(s)

Johannes Anwander [e-mail]

Jochen Staudacher [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)
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

CoopGame documentation built on Aug. 24, 2021, 1:07 a.m.