Here wi ge 0 are called weights and q gt 0 is called a, Engineering Mathematics

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Here wi ge 0 are called weights and q gt 0 is called a

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 Σ_{i ε} _N w_i . 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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Engineering Mathematics: Here wi ge 0 are called weights and q gt 0 is called a

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