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Jane prefers a to b, b to c, and c to a. Based on this information, what properties are violated by Jane's preferences (only one answer is correct)?

User Fbmd
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Answer:

Since Jane prefers a to b and b to c, then she must find a at least as good as b and b at least as good as c. Transitivity would imply that a is at least as good as c. But she prefers c to a, then a cannot be at least as good as c. So jane's statements violate transitivity. Completeness is satisfied because between any to alternatives one is at least as good as the other.

User Mstaessen
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