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 voting system used fails to satisfy the property of independence of irrelevant alternatives because when option B was eliminated, the outcome of the vote between option A and option C changed. This suggests that the presence of an irrelevant alternative like option B influenced the outcome of the previous vote, which violates the independence of irrelevant alternatives property.

In a Vote Between Options A,B,and C,option C Wins