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An Evolutionary View on Equilibrium Models of Transport Flows

Author

Listed:
  • 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
    Institute for Information Transmission Problems, RAS, Bolshoy Karetny per. 19, build. 1, 127051 Moscow, Russia
    Higher School of Economics, 20 Myasnitskaya Ulitsa, 101000 Moscow, 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)

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.

Suggested Citation

  • Evgenia Gasnikova & Alexander Gasnikov & Yaroslav Kholodov & Anastasiya Zukhba, 2023. "An Evolutionary View on Equilibrium Models of Transport Flows," Mathematics, MDPI, vol. 11(4), pages 1-8, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:858-:d:1061199
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    References listed on IDEAS

    as
    1. A. de Palma & Y. Nesterov, 2001. "Stationary Dynamic Solutions in Congested Transportation Networks: Summary and Perspectives," THEMA Working Papers 2001-19, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    2. Meruza Kubentayeva & Alexander Gasnikov, 2021. "Finding Equilibria in the Traffic Assignment Problem with Primal-Dual Gradient Methods for Stable Dynamics Model and Beckmann Model," Mathematics, MDPI, vol. 9(11), pages 1-17, May.
    Full references (including those not matched with items on IDEAS)

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