The basketball team at a small high school consists of 3 seniors, 3 juniors and a coach. In what follows, I use the word "players" to mean players in the game theory model, including both basketball players and the coach. To choose the team captain, these are the winning coalitions: 1) 3 Seniors is winning without any other players. 2) Any group of 4 players including at least 2 seniors is winning. 3) Any group of 5 players or more players is winning. Determine the Shapley values of the seniors, juniors, and the coach.

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The basketball team at a small high school consists of 3 seniors, 3
juniors and a coach. In what follows, I use the word "players" to mean
players in the game theory model, including both basketball players
and the coach. To choose the team captain, these are the winning
coalitions:
1) 3 Seniors is winning without any other players.
2) Any group of 4 players including at least 2 seniors is winning.
3) Any group of 5 players or more players is winning.
Determine the Shapley values of the seniors, juniors, and the coach.
Transcribed Image Text:The basketball team at a small high school consists of 3 seniors, 3 juniors and a coach. In what follows, I use the word "players" to mean players in the game theory model, including both basketball players and the coach. To choose the team captain, these are the winning coalitions: 1) 3 Seniors is winning without any other players. 2) Any group of 4 players including at least 2 seniors is winning. 3) Any group of 5 players or more players is winning. Determine the Shapley values of the seniors, juniors, and the coach.
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