4.10. A social choice function satisfies the weak Pareto criterion if, whenever every voter places one candidate above another, say ranking candidate A over candidate B, then candidate B cannot be the unique winner. (This differs from the Pareto property owing to the words “the unique”.) (a) Explain why any method that satisfies Pareto also satisfies weak Pareto. (b) Explain why the antiplurality method satisfies weak Pareto. (c) Explain why the agenda method violates weak Pareto.

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