# Does transitivity qualify as a reason for Indifference curves intersecting each other?

Transitivity in preferences seems as a flawed concept because there might be a situation where A>B, B>C but A<C. Going by this analogy it seems that it does not qualify as a reason for Indifference curves intersecting. I need to understand how can actually two indifference curves not intersect.

• I don't understand what you are trying to ask. If two indifference curves intersect, then transitivity is violated. Nov 3 '20 at 15:53

Two indifference curves representing rational preferences do not intersect, and rational implies transitive. Take two indifference curves (IC) of two different utility levels $$U_1>U_2$$. If point $$P$$ is on $$IC_1$$ it gives utility $$U_1$$. If it were also on $$IC_2$$, it would also give utility $$U_2\neq U_1$$, a contradiction.