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A counterexample on the completion of preferences with single crossing differences

Kukushkin, Nikolai S. and Quah, John K.-H. and Shirai, Koji (2016): A counterexample on the completion of preferences with single crossing differences.

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Abstract

We provide an example of a data set where all the revealed preference relations seem to be consistent with single crossing differences and yet the revealed preference relations cannot be extended to a complete preference obeying that property

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