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Voting and Social Choice
Vocabulary
21
Mathematics
Undergraduate 1
02/17/2016

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Cards

Term
Social Choice
Definition
How groups can best arrive at decisions.
Term
Preference List Ballot
Definition
A Ballot that ranks the candidates from most preferred to least preferred. (with no ties)
Term
Majority Rule
Definition
A voting system for elections with two candidates in which the candidate with the most votes wins.
Term
Dictatorship
Definition
All ballots are ignored except that of the dictator.
Term
Imposed Rule
Definition
Candidate "X" wins regardless of who votes for him. (predetermined)
Term
Minority Rule
Definition
The candidate with the fewest votes wins.
Term
Monotone
Definition
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.
Term
Condorcet's Method
Definition
A candidate is the winner when he would defeat ever other candidate in a one-to-one contest using majority rule.
Term
Condercet's Voting Paradox
Definition
There are elections in which Condercet's Method yields no winner.
Term
Plurality Voting
Definition
Candidate with the most 1st place votes wins. (does not require the winner to have a majority.)
Term
Condorcet's Winner Criterion
Definition
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.
Term
Manipulability
Definition
A voter's advantage to submit a ballot that misrepresents his true preference.
Term
Borda Count
Definition
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.
Term
Borda Score
Definition
Total points of each candidate. (highest score wins)
Term
Independence of Irrelevant Alternatives
Definition
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.
Term
Agenda
Definition
An ordering of the candidates to be considered (horizontal)
Term
Sequential Pairwise Voting
Definition
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.
Term
Pareto Condition
Definition
If all voters prefer one candidate A to another B, then candidate B cannot be the winner. (Sequential Pairwise does not satisfy this)
Term
Hare System
Definition
The winner is determined by repeatedly deleting alternatives that are least preferred. (**Rounds**)
Term
Plurality With Runoff
Definition
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)
Term
Approval Voting
Definition
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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