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

Santambrogio, Filippo

Santambrogio, Filippo (2009), Models and applications of Optimal Transport in Economics, Traffic and Urban Planning, Optimal transportation : Theory and applications, 2009-06, Grenoble, France

Type

Communication / Conférence

External document link

http://hal.archives-ouvertes.fr/hal-00519460/fr/

Date

2009

Conference title

Optimal transportation : Theory and applications

Conference date

2009-06

Conference city

Grenoble

Conference country

France

Metadata

Show full item record

Author(s)

Santambrogio, Filippo

Abstract (EN)

Some optimization or equilibrium problems involving somehow the concept of optimal transport are presented in these notes, mainly devoted to applications to economic and game theory settings. A variant model of transport, taking into account traffic congestion effects is the first topic, and it shows various links with Monge-Kantorovich theory and PDEs. Then, two models for urban planning are introduced. The last section is devoted to two problems from economics and their translation in the language of optimal transport.

Subjects / Keywords

contract theory; Nash equilibrium; traffic congestion; wardrop equilibrium; optimal flows; equilibrium problems; Kantorovich potential