An evolutionary view on equilibrium models of transport flows

TL;DR

This paper introduces population game dynamics based on evolutionary principles to explain equilibrium models in transport flow estimation and traffic assignment, providing a unified framework for understanding complex traffic models.

Contribution

It proposes a novel evolutionary dynamics approach that unifies and explains existing equilibrium models in transport flow and traffic assignment.

Findings

Dynamics explain origin-destination matrix estimation

Unifies two-stage traffic assignment models

Provides insights into stochastic traffic models

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.