An Evolutionary View on Equilibrium Models of Transport Flows

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