raeIndex {CoopGame} R Documentation

## Compute Rae index

### Description

raeIndex calculates the Rae index for a specified simple TU game. Note that in general the Rae index is not an efficient vector, i.e. the sum of its entries is not always 1. Hence no drawing routine for the Rae index is provided.

### Usage

```raeIndex(v)
```

### Arguments

 `v` Numeric vector of length 2^n - 1 representing the values of the coalitions of a TU game with n players

### Value

Rae index for specified simple game

### Author(s)

Jochen Staudacher jochen.staudacher@hs-kempten.de

### References

Rae, D.W. (1969) "Decision-rules and individual values in constitutional choice", American Political Science Review 63(1), pp. 40–56

Chakravarty S.R., Mitra M. and Sarkar P. (2015) A Course on Cooperative Game Theory, Cambridge University Press, pp. 119–120

### Examples

```library(CoopGame)
v=c(0,0,0,1,1,0,1)
raeIndex(v)

library(CoopGame)
v=c(0,0,0,0,1,1,0,0,0,0,1,1,1,0,1)
raeIndex(v)
#result: [1] 0.875 0.625 0.625 0.500

```

[Package CoopGame version 0.2.2 Index]