Solution
= Solution
\b[Yes.] Use the <simple cooperative game> in which a <coalition> wins exactly when it contains at least two players. In every <permutation>, precisely the second arrival changes a losing <coalition> into a winning one. Each player is second in two of the six <permutations>, so each <Shapley value> is $2/6=1/3$. This constructs the required vector while verifying that singleton <coalitions> lose and the grand <coalition> wins.