costSharingGameValue {CoopGame} R Documentation

## 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

### Author(s)

Johannes Anwander anwander.johannes@gmail.com

Jochen Staudacher jochen.staudacher@hs-kempten.de

### 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

```

[Package CoopGame version 0.2.2 Index]