Tropical Geometry and Mechanism Design

I would like to give a (very) leisurely overview to some recent work that Ngoc Tran and I did. It applies Tropical Geometry to Mechanism Design in Economics. Since I would like to keep this accessible to both, mathematicians and economists, I will start with a minimal introduction to Mechanism Design, followed by the basics of Tropical Convex Geometry. If you are versed in either subject (or ideally both), just jump ahead. I will then discuss the basic intuition of the paper and hint at why the tropical approach is useful. What is Mechanism Design about? Mechanisms can serve as a game theoretic … Continue reading Tropical Geometry and Mechanism Design