Tropical geometry and mechanism design
- Ngoc Tran (Hausdorff Center for Mathematics, Bonn)
How to ensure an outcome based on collective decisions is "better for all" when a) everyone acts in their personal interest only, and b) we do not know the exact "motives" of each person? Crudely, this is the central problem in mechanism design, a branch of economics. In this talk, I show how insights from tropical geometry can solve such problems.