MathCS Seminar

Title: Auction theory and tropical geometry
Seminar: Algebra
Speaker: Josephine Yu of Georgia Tech
Contact: David Zureick-Brown,
Date: 2016-01-19 at 4:00PM
Venue: W304
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In a recent and ongoing work, Baldwin and Klemperer explored a connection between tropical geometry and economics. They gave a sufficient condition for the existence of competitive equilibrium in product-mix auctions of indivisible goods. This result, which we call the Unimodularity Theorem, can also be traced back to the work of Danilov, Koshevoy, and Murota. I will introduce auction theory, prove of the Unimodularity Theorem, and discuss special cases such as stable matching with transferable utility. This is based on joint work with Ngoc Mai Tran.

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