costSharingGameVector {CoopGame} R Documentation

## 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 jochen.staudacher@hs-kempten.de

Johannes Anwander anwander.johannes@gmail.com

### 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

```

[Package CoopGame version 0.2.2 Index]