An Evolutionary View on Equilibrium Models of Transport Flows

Evgenia Gasnikova, Alexander Gasnikov (), Yaroslav Kholodov () and Anastasiya Zukhba
Additional contact information
Evgenia Gasnikova: Moscow Institute of Physics and Technology, 9 Institutskiy per., 141701 Dolgoprudny, Russia
Alexander Gasnikov: Moscow Institute of Physics and Technology, 9 Institutskiy per., 141701 Dolgoprudny, Russia
Yaroslav Kholodov: Innopolis University, 1, Universitetskaya Str., 420500 Innopolis, Russia
Anastasiya Zukhba: Moscow Institute of Physics and Technology, 9 Institutskiy per., 141701 Dolgoprudny, Russia

Mathematics, 2023, vol. 11, issue 4, 1-8

Abstract: In this short paper, we describe natural logit population games dynamics that explain equilibrium models of origin-destination matrix estimation and (stochastic) traffic assignment models (Beckmann, Nesterov–de Palma). Composition of the proposed dynamics allows to explain two-stages traffic assignment models.

Keywords: Beckmann model; origin-destination matrix estimation; logit-dynamic; maximum entropy principle; Hoeffding’s inequality in Hilbert space; Cheeger’s inequality; concentration of measure phenomenon (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/4/858/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/4/858/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:4:p:858-:d:1061199

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().