Indifference curves cannot intersect.

Question

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As seen in the above figure,points a and c are on the same indifference curve and are therefore equally preferred.Points b and c are also on the same indifference curve and are therefore equally preferred.Transitivity implies that the consumer would be indifferent between a and b; however,since more is preferred to less,a is preferred to b.Thus,as a result of the assumption of transitivity and the assumption that more is preferred to less,indifference curves cannot intersect.

Indifference Curves Cannot Intersect