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

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
Pages
16
Metadata
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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