Eur. Phys. J. B 32, 243-247 (2003)
https://doi.org/10.1140/epjb/e2003-00094-6

Bounded rational driver models

¹ Theory Department, General Physics Institute, Russian Academy of Sciences, Vavilov Str. 38, Moscow, 119991 Russia
² Institute of Transport Research, German Aerospace Center (DLR), Rutherfordstrasse 2, 12489 Berlin, Germany
³ Fachbereich Physik, Universität Rostock, 18051 Rostock, Germany

Corresponding authors: ^a ialub@fpl.gpi.ru - ^b peter.wagner@dlr.de - ^c reinhard.mahnke@physik.uni-rostock.de

Received: 18 November 2002
Revised: 6 February 2003
Published online: 1 April 2003

Abstract

This paper introduces a car following model where the driving scheme takes into account the deficiencies of human decision making in a general way. Additionally, it improves certain shortcomings of most of the models currently in use: it is stochastic but has a continuous acceleration. This is achieved at the cost of formulating the model in terms of the time derivative of the acceleration, making it non-Newtonian. However, the recipe for construction of bounded rational driver models proposed in this paper seems to be very general and can be applied to most, if not all of the traditional car-following models.