The stock in Alden Corporation is held by three people. Person 1 owns 1%, person 2 owns 49%, and person 3 owns 50%. To pass a resolution at the annual stockholders’ meeting, 51% of the stock is needed. A coalition receives a reward of 1 if it can pass a resolution and a reward of 0 if it cannot pass a resolution.

a Find the characteristic function for this game.

 b Find the core of this game.

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c Find the Shapley value for this game.

d Because ( ,  ,  ) is not in the core, there must be an imputation dominating (  ,  ,  ). Find one.

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