Two New Proofs of Afriat's Theorem
We provide two new, simple proofs of Afriat’s celebrated theorem stating that a ﬁnite set of price-quantity observations is consistent with utility maximization if, and only if, the observations satisfy a variation of the Strong Axiom of Revealed Preference known as the Generalized Axiom of Revealed Preference.
Fostel, Ana; Scarf, Herbert E.; and Todd, Michael J., "Two New Proofs of Afriat's Theorem" (2003). Cowles Foundation Discussion Papers. 1684.