Problem
There are three car mechanics have been hired in Shell Workshop. Each has different expertise that brings great profit to the workshop if they collaborate. However, there are some variable costs incurred for each of them. The annual revenue and cost details are as follows:(picture)
A. Determine the relevant characteristic function.
B. Find the core to determine how much each mechanic should be paid.
C. Determine the Shapley value of the game.
D. Does the Shapley value give a reasonable division of the workshop's profits? Explain.