Suppose there are 3 possible outcomes to a vote: A, B, and C. If voters prefer A to B, B to C, and C to A, which of the following concepts are violated?
A)Transitivity
B)Arrow's impossibility theorem
C)Median voter theorem
D)None of the above concepts are violated.

Question

​Suppose there are 3 possible outcomes to a vote: A, B, and C. If voters prefer A to B, B to C, and C to A, which of the following concepts are violated?
A)​Transitivity
B)​Arrow's impossibility theorem
C)​Median voter theorem
D)​None of the above concepts are violated.

Quizplus · Accepted Answer

The situation violates the transitivity principle, which states that if option A is preferred to option B and option B is preferred to option C, then option A should be preferred to option C. In this case, voters prefer A to B, B to C, but C to A, which creates a cyclical preference and violates the transitivity principle.

​Suppose There Are 3 Possible Outcomes to a Vote: A

Suppose There Are 3 Possible Outcomes to a Vote: A