|Title: Auction theory and tropical geometry|
|Speaker: Josephine Yu of Georgia Tech|
|Contact: David Zureick-Brown, email@example.com|
|Date: 2016-01-19 at 4:00PM|
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.
See All Seminars