Which of the following statements captures the meaning of transitivity of preferences?
A)If A is preferred to B, then B is less preferred than A.
B)If A is preferred to B, and B is preferred to C, then A is preferred to C.
C)If A is preferred to B and B is preferred to C, then the preference for A over B is stronger than the preference for B over C.
D)If A is preferred to C, then there exists B such that A is preferred to B and C is preferred to A.

Question

Quizplus · Accepted Answer

Transitivity of preferences means that if A is preferred to B and B is preferred to C, then A is preferred to C. Option B is the only statement that accurately captures this concept. Option A is only a partial statement of transitivity, while option C is about the strength of preferences rather than the transitivity itself. Option D is not a statement of transitivity as it only refers to the existence of a specific preference relationship between A and C.

Which of the Following Statements Captures the Meaning of Transitivity