Which statement best 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 B is preferred to C.

Question

Quizplus · Accepted Answer

Transitivity of preferences refers to the idea that if a person prefers option A to option B and option B to option C, then that person must also prefer option A to option C. This is captured in statement B. The other options are either incomplete or incorrect. For example, option A only captures a one-way relation between A and B, which is not enough to establish transitivity. Option C suggests a quantitative difference in preferences, which is not necessary for transitivity. Option D is also incomplete, since it only establishes a relation between A and C, but does not encompass all possible preferences.

Which Statement Best Captures the Meaning of Transitivity of Preferences