Suppose the voters in a small country are choosing between two options, A and B. After the voting is complete it is discovered that option A received 100% of the votes with option B receiving no votes. After the vote, however, the country's leader decides that option B is better for the people and implements B rather than A. The voting system in this country fails 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 failure of the voting system in this country violates Arrow's property of "No dictators". The country's leader acted as a dictator and implemented their own preferred option, despite the unanimous vote for option A.

Suppose the Voters in a Small Country Are Choosing Between