To find the :ref:`Shapley value <definition-of-shapley-value>` for a game G=(N, v)
use
coopgt.shapley_value.calculate.
For example for G=(3, v):
v(C)=\begin{cases}
0,&\text{if }C=\emptyset\\
6,&\text{if }C=\{1\}\\
12,&\text{if }C=\{2\}\\
42,&\text{if }C=\{3\}\\
12,&\text{if }C=\{1,2\}\\
42,&\text{if }C=\{2,3\}\\
42,&\text{if }C=\{1,2,3\}\\
\end{cases}
First :ref:`create the characteristic function <create_a_characteristic_function>`:
>>> characteristic_function = {
... (): 0,
... (1,): 6,
... (2,): 12,
... (3,): 42,
... (1, 2): 12,
... (1, 3): 42,
... (2, 3): 42,
... (1, 2, 3): 42,
... }Then:
>>> import coopgt.shapley_value
>>> coopgt.shapley_value.calculate(characteristic_function=characteristic_function)
array([ 2., 5., 35.])