Question 21: Calculate the Shapley value of the following game using …

Calculate the Shapley value of the following game using the procedure for dissolving a partnership

$N = \{1, 2, 3, 4\}$

$\begin{array}{llll} v(1) = 24 & v(2) = 48 & v(3) = 24 & v(4) = 72 \\ v(1,2) = 96 & v(2,3) = 144 & v(1,4) = 120 & v(1,3) = 0 \\ v(2,4) = 0 & v(3,4) = 0 & & \\ v(1,3,4) = 168 & v(1,2,3) = 0 & v(1,2,4) = 0 & \\ v(2,3,4) = 0 & v(1,2,3,4) = 240 & v(\emptyset) = 0 & \end{array}$

Based on the above data, answer the given subquestions.

S3 = ________________