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Back to 11.2 Fairness in Voting Methods

11.2 Exercise 13

Avg difficulty 2.5

Suppose that 30 students in a class are going to vote on whether to have apple, blueberry, or cherry pie. Use the summary of ranked ballots in below to answer each question.

Number of Ballots 14 12 4
(A) Apple Pie 1 3 3
(B) Blueberry Pie 2 1 2
(C) Cherry Pie 3 2 1
  1. Determine the winner of the election by plurality.
  2. Which candidate would win a plurality election if cherry pie were removed from the ballot?
  3. Does this election violate the IIA?

OpenStax Contemporary Mathematics, 11.2 Fairness in Voting Methods, exercise 13

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Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.