Shapley Value - Example

Example

Consider a simplified description of a business. We have an owner o, who does not work but provides the crucial capital, meaning that without him no gains can be obtained. Then we have k workers w1,...,wk, each of whom contributes an amount p to the total profit. So N = {o, w1,...,wk} and v(S) = 0 if o is not a member of S and v(S) = mp if S contains the owner and m workers. Computing the Shapley value for this coalition game leads to a value of mp/2 for the owner and p/2 for each worker.

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