The vote-for-two method works as follows: Candidates get a point whenever a voter ranks them first or second. The candidate with the most points is declared to be the winner (or if several candidates tie for the most points, they are all declared to be winners). (a) Does the vote-for-two method satisfy the Condorcet criterion? (b) Does the vote-for-two method satisfy the anti-Condorcet criterion? (c) Does the vote-for-two method satisfy the Pareto property?

Principles of Microeconomics
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Author:N. Gregory Mankiw
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Chapter22: Frontiers Of Microeconomics
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4.1. The vote-for-two method works as follows: Candidates get a
point whenever a voter ranks them first or second. The candidate with
the most points is declared to be the winner (or if several candidates tie
for the most points, they are all declared to be winners).
(a) Does the vote-for-two method satisfy the Condorcet criterion?
(b) Does the vote-for-two method satisfy the anti-Condorcet criterion?
(c) Does the vote-for-two method satisfy the Pareto property?
(d) Is the vote-for-two method independent?

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