What is the Shapely value for a weighted majority game?

Question

For a weighted majority game of 4 players with

$$ \begin{array} & I & II & III & IV \\10 & 30 & 30 & 40 \end{array} $$

shares, how would I find the Shapley value? Any tips?

Answer 1

How to derive a weighted majority game and how to get the Shapley value is explained in the following post

Shapley value for voting games

Assuming now a majority voting with $56$ votes, the Shapley value distributes

$sh_{v}=(0,1,1,1)/3,$

for instance. Changing the quorum to pass a bill may change the distribution of the Shapley value.