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econ.TH2023
A Topological Proof of The Gibbard-Satterthwaite Theorem
Yuliy Baryshnikov, Joseph Root
We give a new proof of the Gibbard-Satterthwaite Theorem. We construct two topological spaces: one for the space of preference profiles and another for the space of outcomes. We sh…
econ.TH2023
Local Priority Mechanisms
Joseph Root, David S. Ahn
We introduce a novel family of mechanisms for constrained allocation problems which we call local priority mechanisms. These mechanisms are parameterized by a function which assign…
econ.TH2023
Royal Processions: Incentives, Efficiency and Fairness in Two-sided Matching
Sophie Bade, Joseph Root
We study the set of incentive compatible and efficient two-sided matching mechanisms. We classify all such mechanisms under an additional assumption -- "gender-neutrality" -- which…