2.9. The following informal descriptions of voting methods do not represent social choice functions as we have defined them. Explain why not. (a) (Mini-quota) Any candidate with at least 25% of the votes is declared a winner. (b) (Approval voting) Every voter answers a yes-or-no question about each candidate: “Is she acceptable?” Whichever candidate is acceptable to the most voters is declared the winner. (c) (Copeland without ties) The winners of the Copeland method become our finalists. If there is more than one finalist, the tie is resolved by drawing straws. (d) (Condorcet candidate) Pick the candidate who defeats each of the other candidates in a head-to-head election

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter22: Frontiers Of Microeconomics
Section22.2: Political Economy
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2.9. The following informal descriptions of voting methods do not represent social choice functions as we have defined them. Explain why not.
(a) (Mini-quota) Any candidate with at least 25% of the votes is declared
a winner.
(b) (Approval voting) Every voter answers a yes-or-no question about
each candidate: “Is she acceptable?” Whichever candidate is acceptable to the most voters is declared the winner.
(c) (Copeland without ties) The winners of the Copeland method become our finalists. If there is more than one finalist, the tie is resolved
by drawing straws.
(d) (Condorcet candidate) Pick the candidate who defeats each of the
other candidates in a head-to-head election

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