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 ...

Reality may not be quite as inscrutable as Anil Ananthaswamy suggests in his look at quantum wave-particle duality (5 January, p 36). Instead of abandoning “any pretence of understanding the outcome” ...