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 ...

Abstract In this paper, by using a alternative theorem, we establish Lagrangian conditions and duality results for set-valued vector optimization problems when the objective and constant are nearly ...

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 ...