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 stockholdersĂ˘â‚¬â„˘ 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.
Ă‚Â b Find the core of this game.
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c Find the Shapley value for this game.
d Because (Ă‚Â , Ă‚Â , Ă‚Â ) is not in the core, there must be an imputation dominating ( Ă‚Â , Ă‚Â , Ă‚Â ). Find one.