Assuming consumers have transitive preferences, a consumer's indifference curves can never cross.

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If a consumer's indifference curves were to cross, it would violate the principle of transitivity, which states that if a consumer prefers bundle A to bundle B and bundle B to bundle C, then the consumer must also prefer bundle A to bundle C. Therefore, assuming consumers have transitive preferences, their indifference curves cannot cross.

Assuming Consumers Have Transitive Preferences, a Consumer's Indifference Curves Can