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Equivalence of two definitions of monotone preference

Let $\succeq$ be a relation on $\mathbb{R}^l_+$ such that $x\gg y$ implies $x\succeq y$ for all $x,y\in\mathbb{R}^l_+$, and such that all upper contour sets are closed. Then $x\geq y$ implies $x\...
Michael Greinecker's user avatar
1 vote

Trying to find a proof for Strong Axiom of Revealed Preference with general choice set

This is a special case of Theorem 1 of [Richter, Marcel K. "Revealed preference theory." Econometrica (1966): 635-645.]
Michael Greinecker's user avatar

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