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How groups can best arrive at decisions. |
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A Ballot that ranks the candidates from most preferred to least preferred. (with no ties) |
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A voting system for elections with two candidates in which the candidate with the most votes wins. |
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All ballots are ignored except that of the dictator. |
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Candidate "X" wins regardless of who votes for him. (predetermined) |
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The candidate with the fewest votes wins. |
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If a new election were held and a single voter changes his vote from being a vote for the loser to a winner, then the outcome remains the same. |
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A candidate is the winner when he would defeat ever other candidate in a one-to-one contest using majority rule. |
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Condercet's Voting Paradox |
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There are elections in which Condercet's Method yields no winner. |
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Candidate with the most 1st place votes wins. (does not require the winner to have a majority.) |
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Condorcet's Winner Criterion |
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For every possible sequence of preference list ballots: 1. There is no Condorcet winner. 2. The voting system produces the same winner as Condorcet's Method. |
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A voter's advantage to submit a ballot that misrepresents his true preference. |
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A rank method of voting that assigns points in a non increasing manner to each candidate and then sums these points to arrive at the groups final rankings. |
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Total points of each candidate. (highest score wins) |
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Independence of Irrelevant Alternatives |
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It is impossible for an alternative B to move from non winner to winner status unless at least one voter reuses the order in which had B and the winner ranked. |
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An ordering of the candidates to be considered (horizontal) |
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Sequential Pairwise Voting |
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Pits the 1st candidate against the second in a one-to-one contest. The winner confronts the 3rd candidate while the loser is eliminated. Continue through the agenda until one candidate remains. |
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If all voters prefer one candidate A to another B, then candidate B cannot be the winner. (Sequential Pairwise does not satisfy this) |
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The winner is determined by repeatedly deleting alternatives that are least preferred. (**Rounds**) |
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There is a plurality election, then (if needed) there is a runoff (new election) between the two candidates receiving the most first place votes. (winner has majority of votes) |
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Each voter submits a ballot that indicates which candidates he approves of. Winning is determined by the total number of approval votes. |
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