Majority Criterion and Voting Methods

The video tutorial covers the concepts of plurality and majority candidates in elections, emphasizing the difference between them. It introduces the notion of fairness in election results and discusses the majority criterion, a fairness criterion that states a majority candidate should win. The video also explores scenarios where the majority criterion is violated and concludes with questions to reinforce understanding.

What is the main focus of the third video in Math 103?

• Exploring algebraic expressions

• Understanding voting systems

• Learning about geometry

• Introduction to calculus

In the first election, which candidate is identified as the plurality candidate?

• Candidate D

• Candidate A

• Candidate C

• Candidate B

How many first-choice votes are needed to be a majority candidate in an election with 21 voters?

• 10

• 10.5

• 11

• 12

In election number two, who is the majority candidate?

• No majority candidate

• Candidate C

• Candidate B

• Candidate A

What is the new concept introduced after discussing majority candidates?

• Fairness in election results

• Plurality voting

• Election campaigns

• Voting methods

What is the difference between a voting method and a fairness criterion?

• A fairness criterion determines the winner, while a voting method evaluates fairness

• A voting method determines the winner, while a fairness criterion evaluates fairness

• A voting method is a type of fairness criterion

• There is no difference

What does the Majority Criterion state?

• The candidate with the least votes should win

• All candidates should have equal votes

• The candidate with the most votes should win

• If there is a majority candidate, they should win

In which scenario does the Majority Criterion have nothing to say?

• When there is a majority candidate

• When there is no majority candidate

• When the election is tied

• When all candidates have equal votes

In the practical example, how many first-choice votes are needed to be a majority candidate?

• 26

• 25

• 28

• 27

If Alex is declared the winner in the practical example, does it violate the Majority Criterion?

• No, because there is no majority candidate

• Yes, because Alex has the least votes

• No, because Alex is the majority candidate

• Yes, because Alex is not the majority candidate