In a vote between options A, B, and C, option C wins. When option B is eliminated and a vote is taken between option A and option C, option A wins. The voting system used fails to satisfy which of Arrow's properties of a desirable voting system?
A)unanimity
B)transitivity
C)independence of irrelevant alternatives
D)No dictators

Question

Quizplus · Accepted Answer

The fact that the outcome of the second vote changed when option B was eliminated shows that the voting system does not satisfy the property of independence of irrelevant alternatives. This means that the presence or elimination of a third option can affect the outcome of a vote between two other options, which is not considered desirable.

In a Vote Between Options A, B, and C, Option