A social choice function satisfies the bottom criterion if, whenever a candidate is not at the bottom of the preference list of any voter, that candidate is a winner. (a) Does the plurality method satisfy the bottom criterion? (b) Does the antiplurality method satisfy the bottom criterion? (c) Explain why it is impossible for a social choice function with three or more candidates to satisfy both the bottom criterion and the Pareto criterion.
A social choice function satisfies the bottom criterion if, whenever a candidate is not at the bottom of the preference list of any voter, that candidate is a winner. (a) Does the plurality method satisfy the bottom criterion? (b) Does the antiplurality method satisfy the bottom criterion? (c) Explain why it is impossible for a social choice function with three or more candidates to satisfy both the bottom criterion and the Pareto criterion.
Principles of Microeconomics (MindTap Course List)
8th Edition
ISBN:9781305971493
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter22: Frontiers Of Microeconomics
Section: Chapter Questions
Problem 4CQQ
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4.12. A social choice function satisfies the bottom criterion if, whenever a candidate is not at the bottom of the preference list of any voter,
that candidate is a winner.
(a) Does the plurality method satisfy the bottom criterion?
(b) Does the antiplurality method satisfy the bottom criterion?
(c) Explain why it is impossible for a social choice function with three or
more candidates to satisfy both the bottom criterion and the Pareto
criterion.
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