Sylvain Spitz
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View article: The polyhedral geometry of truthful auctions
The polyhedral geometry of truthful auctions Open
The difference set of an outcome in an auction is the set of types that the auction mechanism maps to the outcome. We give a complete characterization of the geometry of the difference sets that can appear for a dominant strategy incentive…
View article: The Polyhedral Geometry of Truthful Auctions
The Polyhedral Geometry of Truthful Auctions Open
The difference set of an outcome in an auction is the set of types that the auction mechanism maps to the outcome. We give a complete characterization of the geometry of the difference sets that can appear for a dominant strategy incentive…
View article: Generalized permutahedra and optimal auctions
Generalized permutahedra and optimal auctions Open
We study a family of convex polytopes, called SIM-bodies, which were introduced by Giannakopoulos and Koutsoupias (2018) to analyze so-called Straight-Jacket Auctions. First, we show that the SIM-bodies belong to the class of generalized p…