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 ...

Scientists have found mathematical patterns underlying the way individuals unconsciously distribute their preferences regarding approaching or avoiding objects in their environment. These patterns ...

Voting theory and preference structures constitute a multifaceted field that explores the mathematical and computational foundations of collective decision-making. This area evaluates how individual ...