Pular para conteúdo

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.