Consider the three-person game where values of coalitions are defined as follows:

v{} = 0; v{1} = v{2} = v{3} = 0; v{1,2} = 100; v{1,3} = 150; v{2,3}= 300; v{1,2,3}= 1000:

(a) Find the Shapley values of the players.

(b) Find the core of the game (it may be empty). If the core is empty, what does it mean?

Answer rating: 100% (QA)

a The Shapley values of a player are the expected values of a players contributions to all coalitions that can be formed We can calculate the Shapley values of the players by using the formula i 1n S vS i vS n S 1 S where n is the number of players 3 in this case S is a coalition ... View the full answer