= Solution
\b[Yes.] Give players $1,2,3$ weights $1,1,2$, respectively, and let the quota be three. This <weighted voting game> is a <simple cooperative game> whose minimal winning <coalitions> are $\{1,3\}$ and $\{2,3\}$. In orders $123,132,213,231$, player 3 supplies the winning <marginal contribution>. In order $312$ player 1 does, and in order $321$ player 2 does. Averaging the six <marginal contribution vectors> gives exactly \b[$(1/6,1/6,4/6)$] as the vector of <Shapley values>.
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