tucoopy.power.koenig_brauninger¶
Koenig–Bräuninger power index.¶
This index is based on minimal winning coalitions and assigns to each member of such a coalition a weight proportional to 1/(|S|-1).
koenig_brauninger_index ¶
koenig_brauninger_index(game)
Koenig-Bräuninger power index for a simple game.
For each minimal winning coalition S containing player \(i\):
\[KB_i += \frac{1}{|S| - 1}.\]
The result is normalized to sum to \(1\).
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
game | Game | Complete simple game. | required |
Returns:
| Type | Description |
|---|---|
list[float] | Koenig-Bräuninger index. |
Notes
- Based only on minimal winning coalitions.
- Gives more weight to players in smaller minimal winning coalitions.
- Implemented as in CoopGame.