Which of the following sets of preferences satisfies the property of transitivity?
A) Cookies are preferred to brownies. Brownies are preferred to ice cream. Ice cream is preferred to cookies.
B) Cookies are preferred to pie. Brownies are preferred to pie. Pie is preferred to cookies.
C) Cookies are preferred to ice cream. Ice cream is preferred to brownies. Cookies are preferred to brownies.
D) Cookies are preferred to pie. Ice cream is preferred to cookies. Pie is preferred to ice cream.

Question

Quizplus · Accepted Answer

Transitivity means that if A is preferred to B and B is preferred to C, then A must be preferred to C. Option C satisfies this, as it states that Cookies are preferred to ice cream (A > B), ice cream is preferred to brownies (B > C), and therefore Cookies are preferred to brownies (A > C), which satisfies the property of transitivity.

Which of the Following Sets of Preferences Satisfies the Property