tucoopy.power.egalitarian_shapley¶
Egalitarian Shapley value.¶
This value modifies the Shapley allocation by down-weighting each Harsanyi dividend by the square of the coalition size.
egalitarian_shapley_value ¶
egalitarian_shapley_value(game)
Egalitarian Shapley value.
This value modifies the Shapley allocation by dividing each Harsanyi dividend by the square of the coalition size:
\[\phi_i = \sum_{S \ni i} \frac{d(S)}{|S|^2}.\]
Parameters:
| Name | Type | Description | Default |
|---|---|---|---|
game | GameProtocol | TU game. | required |
Returns:
| Type | Description |
|---|---|
list[float] | Egalitarian Shapley allocation. |
Notes
- Derived from the Shapley value but emphasizes equality inside coalitions.
- Implemented directly from Harsanyi dividends.