Hostname: page-component-5ffc9858b4-jvpz5 Total loading time: 0 Render date: 2025-03-24T10:05:30.695Z Has data issue: false hasContentIssue false

Traffic congestion: an experimental study of the Downs-Thomson paradox

Published online by Cambridge University Press:  14 March 2025

Emmanuel Dechenaux*
Affiliation:
Kent State University, Kent, OH 44242, USA
Shakun D. Mago*
Affiliation:
University of Richmond, Richmond, VA 23173, USA
Laura Razzolini*
Affiliation:
Virginia Commonwealth University, Richmond, VA 23284, USA

Abstract

This study considers a model of road congestion with average cost pricing. Subjects must choose between two routes—Road and Metro. The travel cost on the road is increasing in the number of commuters who choose this route, while the travel cost on the metro is decreasing in the number of its users. We examine how changes to the road capacity, the number of commuters, and the metro pricing scheme influence the commuters’ route-choice behavior. According to the Downs-Thomson paradox, improved road capacity increases travel times along both routes because it attracts more users to the road and away from the metro, thereby worsening both services. A change in route design generates two Nash equilibria; and the resulting coordination problem is amplified even further when the number of commuters is large. We find that, similar to other binary choice experiments with congestion effects, aggregate traffic flows are close to the equilibrium levels, but systematic individual differences persist over time.

Type
Original Paper
Copyright
Copyright © 2013 Economic Science Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Electronic Supplementary Material The online version of this article (doi:https://doi.org/10.1007/s10683-013-9378-4) contains supplementary material, which is available to authorized users.

This research is funded by the National Science Foundation (Grant 0527534). We thank Tim Cason, Oleg Korenok, the editor Jacob Goeree, two anonymous referees, and seminar participants at the University of Siena, Italy, the International Meeting of the Economic Science Association, and the European Meeting of the Economic Science Association for helpful comments.

References

Anderson, L., Holt, C., Reiley, D. Cherry, T. L., Kroll, S., & Shogren, J. (2008). Congestion pricing and welfare: an entry experiment. Experimental methods, environmental economics, London: Routledge.Google Scholar
Arnott, R., & Small, K. (1994). The economics of traffic congestion. American Scientist, 82, 446455.Google Scholar
Camerer, C. (2003). Behavioral game theory, Princeton: Princeton University Press.Google Scholar
Chmura, T., & Pitz, T. (2004a). An extended reinforcement algorithm for estimation of human behavior in congestion games. Bonn Econ Discussion Paper 24/2004, Bonn Graduate School of Economics.Google Scholar
Chmura, T., & Pitz, T. (2004b) Minority game—experiments and simulations of traffic scenarios. Bonn Econ discussion paper 23/2004, Bonn Graduate School of Economics.Google Scholar
Denant-Boèmont, L., & Hammiche, S. (2010). Downs Thomson paradox in cities and endogenous choice of transit capacity: an experimental study. Journal of Intelligent Transport Systems: Technology, Planning, and Operations, 14, 140153. 10.1080/15472450.2010.484742CrossRefGoogle Scholar
Downs, A. (1962). The law of peak-hour expressway congestion. Traffic Quarterly, 16, 393409.Google Scholar
Fischbacher, U. (2007). Z-tree: Zurich toolbox for ready-made economic experiments. Experimental Economics, 10, 171178. 10.1007/s10683-006-9159-4CrossRefGoogle Scholar
Gabuthy, Y., Neveu, M., & Denant- Boèmont, L. (2006). Structural model of peak-period congestion: an experimental study. Review of Network Economics, 5, 273298. 10.2202/1446-9022.1098CrossRefGoogle Scholar
Goeree, J., & Holt, C. (2005). An experimental study of costly coordination. Games and Economic Behavior, 51, 349364. 10.1016/j.geb.2004.08.006CrossRefGoogle Scholar
Goeree, J., & Holt, C. (2005). An explanation of anomalous behavior in models on political participation. American Political Science Review, 99, 201213. 10.1017/S0003055405051609CrossRefGoogle Scholar
Helbing, D. Schreckenberg, M., & Selten, R. (2004). Dynamic decision behavior and optimal guidance through information services: models and experiments. Human behavior and traffic networks, Berlin: Springer 4795. 10.1007/978-3-662-07809-9_3CrossRefGoogle Scholar
Horowitz, J. L. (1984). The stability of stochastic equilibrium in a two-link transportation network. Transportation Research B, 18, 1328. 10.1016/0191-2615(84)90003-1CrossRefGoogle Scholar
Knez, M., & Camerer, C. (1994). Creating expectational assets in the laboratory: coordination in ‘weakest-link’ games. Strategic Management Journal, 15, 101119. 10.1002/smj.4250150908CrossRefGoogle Scholar
McKelvey, R. D., & Palfrey, T. R. (1995). Quantal response equilibrium for normal-form games. Games and Economic Behavior, 10, 638. 10.1006/game.1995.1023CrossRefGoogle Scholar
Mogridge, M. J. H. (1990). Travel in towns: jam yesterday, jam today and jam tomorrow?, London: Macmillan.CrossRefGoogle Scholar
Morgan, J., Orzen, H., & Sefton, M. (2009). Network architecture and traffic flows: experiments on the Pigou-Knight-Downs and Braess paradoxes. Games and Economic Behavior, 66, 348372. 10.1016/j.geb.2008.04.012CrossRefGoogle Scholar
Putnam, R. D. (2000). Bowling alone: collapse and revival of American community, New York: Simon & Schuster.Google Scholar
Rapoport, A., Seale, D., Erev, I., & Sundali, J. (1998). Equilibrium play in large group market entry games. Management Science, 44, 119141. 10.1287/mnsc.44.1.119CrossRefGoogle Scholar
Rapoport, A., Stein, W., Parco, J., & Seale, D. (2004). Equilibrium play in single-server queues with endogenously determined arrival times. Journal of Economic Behavior & Organization, 55, 6791. 10.1016/j.jebo.2003.07.003CrossRefGoogle Scholar
Rapoport, A., Mak, V., & Zwick, R. (2006). Navigating congested networks with variable demand: experimental evidence. Journal of Economic Psychology, 27, 648666. 10.1016/j.joep.2006.06.001CrossRefGoogle Scholar
Rapoport, A., Kugler, T., Dugar, S., Gisches, E. Kugler, T., Smith, J. C., Connolly, T., & Son, Y. J. (2008). Braess paradox in the laboratory: an experimental study of route choice in traffic networks with asymmetric costs. Decision modeling and behavior in uncertain and complex environments, Berlin: Springer.Google Scholar
Rapoport, A., Kugler, T., Dugar, S., & Gisches, E. (2009). Choice of routes in congested traffic networks: experimental tests of the Braess paradox. Games and Economic Behavior, 65, 538571. 10.1016/j.geb.2008.02.007CrossRefGoogle Scholar
Schneider, K., Weimann, J. Schreckenberg, M., & Selten, R. (2004). Against all odds: Nash equilibria in a road pricing experiment. Human behaviour and traffic networks, Berlin: Springer 133153. 10.1007/978-3-662-07809-9_5CrossRefGoogle Scholar
Selten, R., Chmura, T., Pitz, T., Kube, S., & Schreckenberg, M. (2007). Commuters route choice behavior. Games and Economic Behavior, 58, 394406. 10.1016/j.geb.2006.03.012CrossRefGoogle Scholar
Steinberg, R., & Zangwill, W. I. (1983). The prevalence of Braess’ paradox. Transportation Science, 17, 301318. 10.1287/trsc.17.3.301CrossRefGoogle Scholar
Sundali, J., Rapoport, A., & Seale, D. (1995). Coordination in market entry games with symmetric players. Organizational Behavior and Human Decision Processes, 64, 203218. 10.1006/obhd.1995.1100CrossRefGoogle Scholar
Thomson, A. (1977). Great cities and their traffic, London: Gollancz (Published in Peregrine Books 1978).Google Scholar
Van Huyck, J., Battalio, R., & Rankin, F. (2007). Evidence on learning in coordination games. Experimental Economics, 10, 205220. 10.1007/s10683-007-9175-zCrossRefGoogle Scholar
Ziegelmeyer, A., Koessler, F., Boun My, K., & Denant-Boèmont, L. (2008). Road traffic congestion and public information: an experimental investigation. Journal of Transport Economics and Policy, 42, 4382.Google Scholar
Supplementary material: File

Dechenaux et al. supplementary material

Appendix
Download Dechenaux et al. supplementary material(File)
File 118.2 KB