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
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
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
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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