Summary
This short paper provides an alternative framework to axiomatize various binary preference relations such as semiorder, weak semiorder etc. A set of simple axioms is presented in terms of revealed-preferred and revealed-inferior alternatives which makes the connection between various binary preference relations transparent; and every single axiom is necessary and sufficient for the existence of a binary preference relation of a specified type.
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We thank Bhasker Dutta, Peter Fishburn, Prasanta Pattanaik, Robert Russell and Thomas Schwartz for helpful suggestions
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Bandyopadhyay, T., Sengupta, K. Characterization of generalized weak orders and revealed preference. Econ Theory 3, 571–576 (1993). https://doi.org/10.1007/BF01209703
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DOI: https://doi.org/10.1007/BF01209703