An indifference curve shows a combination of two goods that give a consumer equal satisfaction and utility thereby making the consumer indifferent. ... Typically, indifference curves are shown convex to the origin, and no two indifference curves ever intersect.

Can an indifference curve cross itself?

No, an indifference curve can't cross itself. All the points on an indifference curve represent the same level of utility by consuming two goods....

What does it mean if indifference curves cross?

The crossing of two indifference curves presents a logical contradiction in the sense that the individual is behaving inconsistently or, as we would say, irrationally. Economists have often been criticized for their assumption that people are rational.