Left Gloves and Right Gloves
Five players each own one glove: three of them own a left glove and two own a right glove. A coalition's worth is the number of matched (left, right) pairs it can form, so v(S) = min(number of left gloves in S, number of right gloves in S), and each pair sells for 1 unit. Find the Shapley value of one of the right-glove owners, as a reduced fraction.
Related problems
Source: The glove game is a standard textbook example of a cooperative game (see Shapley and Shubik, 1969, on market games). Numbers chosen for AxiomIQ. Statement written for AxiomIQ.