Which of the following sets of preferences can not satisfy the property of transitivity?
A) Plan A is preferred to plan D. Plan D is preferred to plan B. Plan C is preferred to plan B.
B) Plan A is preferred to plan B. Plan B is preferred to plan C. Plan A is preferred to plan C.
C) Plan C is preferred to plan A. Plan B is preferred to plan A. Plan C is preferred to plan c.
D) Plan D is preferred to plan d. Plan C is preferred to plan B. Plan B is preferred to plan D.

Question

Quizplus · Accepted Answer

In choice D, there is a cyclic preference - Plan D is preferred to plan d, Plan C is preferred to plan B, and Plan B is preferred to Plan D. This violates the property of transitivity, hence it cannot satisfy it. The other choices have preferences that follow the transitivity property.

Which of the Following Sets of Preferences Can Not Satisfy