Calculus of Variations and Geometric Measure Theory

F. Santambrogio

Models and applications of Optimal Transport in Economics, Traffic and Urban Planning

created by santambro on 04 Mar 2010
modified on 27 Nov 2014


Published Paper

Inserted: 4 mar 2010
Last Updated: 27 nov 2014

Journal: chapter in "Optimal Transportation, theory and applications", London Math. Soc.
Year: 2014

Proceedings of the summer school "Optimal transport: Theory and applications"


These lecture notes present the main issues and ideas of some variational problems that use or touch the theory of Optimal Transportation. They all come from economic-oriented applications. Problems are presented through the main ideas, with almost no proofs, at a very informal level of presentation.

Keywords: Traffic congestion, urban planning, Wardrop equilibria, principal-agent problem, general equilibrium, Hotelling problem, local functional on measures