This paper exhibits a duality between the theory of revealed preference of Afriat and the housing allocation problem of Shapley and Scarf. In particular, it is shown that Afriat's theorem can be ...

Duality AI, the developer of a suite of tools that allow for simulating the real world so artificial intelligence and robots can navigate it using “digital twins,” announced today that it’s expanding ...

This is a preview. Log in through your library . Abstract Some authors have assumed that the Kuhn-Tucker constraint qualification is always satisfied in a mathematical programming problem in which the ...