Event

Sylvain Spitz (TU Berlin): Generalized Permutahedra and Optimal Auctions

Ort: MPI für Mathematik in den Naturwissenschaften Leipzig, Inselstr. 22, E1 05 (Leibniz-Saal)

Vortrag in der Reihe: Numerical Algebra and Optimization Seminar 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 permutahedra. Second, we prove an optimality result for the Straight-Jacket Auctions among certain deterministic auctions. Third, we employ computer algebra methods and mathematical software to explicitly determine optimal prices and revenues.

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Beginn: Oct. 25, 2021, 2 p.m.

Ende: Oct. 25, 2021, 3 p.m.