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Question: A weighted majority game has a characteristic function of the form
Here, wi ≥ 0 are called weights and q > 0 is called a quota. Take q = 1/2 Σi ε N wi . Suppose that there is one large group with two-fifths of the votes and two equal-sized groups with three-tenths of the vote each.
(a) Find the characteristic function.
(b) Find the core and the least core.
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