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.
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.
Economics (MindTap Course List)
13th Edition
ISBN:9781337617383
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter31: Public Choice And Special Interet Group Politics
Section: Chapter Questions
Problem 3WNG
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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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