Four friends are trying to decide what kind of cake to order for a party: cheesecake, chocolate, or yellow. Everyone was asked to vote for their favorite, and the winner under the unknown voting method was chocolate. Upon hearing the results, two people who had voted for yellow cake wanted to change their votes to move chocolate to the top of their preference lists. The winner was recalculated, and cheesecake was the winner Which fairness criterion has been violated in this election?

Question

Mathematics

Rollins

3 August, 10:02

Four friends are trying to decide what kind of cake to order for a party: cheesecake, chocolate, or yellow. Everyone was asked to vote for their favorite, and the winner under the unknown voting method was chocolate. Upon hearing the results, two people who had voted for yellow cake wanted to change their votes to move chocolate to the top of their preference lists. The winner was recalculated, and cheesecake was the winner Which fairness criterion has been violated in this election?

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Answers (1)

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Nathanael Lara · Answer 1

Irrelevant Alternative Criterion

Explanation:

The Irrelevant Alternatives Criterion: An election leads to the Irrelevant Alternatives Criterion if having a failure drop out of the race changes who wins the election.

A commonplace circumstance where the Irrelevant Alternatives Criterion can be abused is when there is an outsider competitor who draws bolster away from one of the major-party up-and-comers.