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Published in: Transportation 3/2013

01-05-2013

Road pricing with complications

Authors: Mogens Fosgerau, Kurt Van Dender

Published in: Transportation | Issue 3/2013

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Abstract

The rationale for congestion charges is that by internalising the marginal external congestion cost, they restore efficiency in the transport market. In the canonical model underlying this view, congestion is a static phenomenon, users are taken to be homogenous, there is no travel time risk, and a highly stylised model of congestion is used. The simple analysis also ignores that real pricing schemes are only rough approximations to ideal systems and that inefficiencies in related markets potentially affect the case for congestion charges. The canonical model tends to understate the marginal external congestion cost because it ignores user heterogeneity and trip timing inefficiencies. With respect to the relevance of interactions between congestion and congestion charges and tax distortions and distributional concerns, recent insights point out that there is no general case for modifying charges for such interactions. Therefore the simple Pigouvian rule remains a good first approximation for the design of road charging systems.

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Footnotes
1
This is true in a first-best world, where all other prices equal marginal social cost.
 
2
This is also true in a first-best world.
 
3
Net benefits also depend on implementation costs. We do not discuss those in this paper, but emerging evidence suggests these costs are high—if the main issue is to raise revenue then cheaper ways of doing so exist (OECD 2010).
 
4
Other monetary travel costs are ignored.
 
5
De Palma and Fosgerau (2011) develops the bottleneck model under more general scheduling preferences.
 
6
A recent paper (Cassidy et al. 2010) indicates that special lanes such as car pool lanes can increase effective road capacity, because they reduce disruptive vehicle lane changing. Even a severely underused carpool lane can in some instances increase a freeway bottleneck's total discharge flow. A theoretical investigation of these issues is undertaken in Menendez and Daganzo (2007).
 
7
This may sound easier than it is. Fosgerau (2006) discusses issues related to the identification of the distribution of VTT. De Borger and Fosgerau (2008) discuss extensions to take behavioral anomalies into account.
 
8
The estimate is computed using a nonparametric technique, which does not impose the restriction that the cumulative distribution should be increasing. It is therefore evidence of the internal validity of the SP data that an increasing function does result.
 
9
Arnott et al. (1994), discuss pricing with heterogeneous travellers in the context of the bottleneck model. Arnott and Kraus (1998) discuss marginal cost pricing when travellers are heterogeneous but the differences are not observed.
 
10
This could be regarded as a case of product differentiation (Mas-Colell et al. 1995), since the outcome is that the parts of the road deliver different travel times. In contrast to most goods, the service quality of roads depends strongly on usage.
 
11
This pattern is generated by the random capacity bottleneck model for any distribution of capacity (Fosgerau 2010).
 
12
The scale or statistical dispersion of a distribution indicates how “spread out” it is. .
 
13
Previously, this had been shown for some special cases (Noland and Small 1995; Bates et al. 2001).
 
14
Travel times are not likely to be independent since delays on different links may have common causes. Still, additivity must be considered an improvement over no additivity.
 
15
There are cases where equilibrium effects imply that imperfect information is not necessarily welfare improving (Arnott et al. 1999).
 
16
Or whatever turns out to be the optimal charge.
 
17
Perhaps with allowance for imperfections in the wider economy.
 
18
In contrast to the Kaplow approach, the Kaldor–Hicks argument does not require a social welfare function. But as no social welfare function would reject a Pareto-improvement, the views are consistent.
 
19
We criticized the same paper in the previous section for its reliance on income tax restrictions that strongly affect results. That issue is separate from the consideration of the general modelling strategy considered here. Whether the complex rule is correct or not is obviously important, but here the question is whether the complexity itself is worthwhile.
 
20
The evolving insight on the relevance of other distortions, discussed in Sect. 7.2, and the conceptual and empirical uncertainty on the size and nature of agglomeration economies can serve as examples.
 
21
Richard Arnott (1998) distinguishes between model-based and model-assisted reasoning, where the latter refers to the use of models to illuminate a broader argument, and the former is where the model is the argument.
 
22
Engelson et al. (2012) compare the models METROPOLIS (de Palma et al. 1997) and SILVESTER (Kristoffersson and Engelson 2009) in an ex post study of the Stockholm congestion charge. METROPOLIS handles dynamics, trip timing and heterogeneity, while SILVESTER also goes some way to take travel time variability into account. Both models provide significant improvement in realism over static models.
 
Literature
go back to reference Arnott, R.: William Vickrey: contributions to public policy. Int. Tax Public Finance 5, 93–113 (1998)CrossRef Arnott, R.: William Vickrey: contributions to public policy. Int. Tax Public Finance 5, 93–113 (1998)CrossRef
go back to reference Arnott, R., Kraus, M.: When are anonymous congestion charges consistent with marginal cost pricing? J. Public Econ. 67, 45–64 (1998)CrossRef Arnott, R., Kraus, M.: When are anonymous congestion charges consistent with marginal cost pricing? J. Public Econ. 67, 45–64 (1998)CrossRef
go back to reference Arnott, R.A., de Palma, A., Lindsey, R.: A structural model of peak-period congestion: a traffic bottleneck with elastic demand. Am. Econ. Rev. 83, 161–179 (1993) Arnott, R.A., de Palma, A., Lindsey, R.: A structural model of peak-period congestion: a traffic bottleneck with elastic demand. Am. Econ. Rev. 83, 161–179 (1993)
go back to reference Arnott, R.A., de Palma, A., Lindsey, R.: The welfare effects of congestion tolls with heterogeneous commuters. J. Transp. Econ. Policy 28, 139–161 (1994) Arnott, R.A., de Palma, A., Lindsey, R.: The welfare effects of congestion tolls with heterogeneous commuters. J. Transp. Econ. Policy 28, 139–161 (1994)
go back to reference Arnott, R.A., de Palma, A., Lindsey, R.: Information and time-of-usage decisions in the bottleneck model with stochastic capacity and demand. Eur. Econ. Rev. 43, 525–548 (1999)CrossRef Arnott, R.A., de Palma, A., Lindsey, R.: Information and time-of-usage decisions in the bottleneck model with stochastic capacity and demand. Eur. Econ. Rev. 43, 525–548 (1999)CrossRef
go back to reference Bates, J., Polak, J., Jones, P., Cook, A.: The valuation of reliability for personal travel. Transp. Res. Part E 37, 191–229 (2001)CrossRef Bates, J., Polak, J., Jones, P., Cook, A.: The valuation of reliability for personal travel. Transp. Res. Part E 37, 191–229 (2001)CrossRef
go back to reference Calthrop, E., De Borger, B., Proost, S.: Cost-Benefit analysis of transport investments in distorted economies. Transp. Res. Part B 44, 850–869 (2010)CrossRef Calthrop, E., De Borger, B., Proost, S.: Cost-Benefit analysis of transport investments in distorted economies. Transp. Res. Part B 44, 850–869 (2010)CrossRef
go back to reference Cassidy, M.J., Jang, K., Daganzo, C.F.: The smoothing effect of carpool lanes on freeway bottlenecks. Transp. Res. Part A 44, 65–75 (2010) Cassidy, M.J., Jang, K., Daganzo, C.F.: The smoothing effect of carpool lanes on freeway bottlenecks. Transp. Res. Part A 44, 65–75 (2010)
go back to reference Corlett, W.J., Hague, D.C.: Complementarity and the excess burden of taxation. Rev. Econ. Stud. 21, 21–30 (1953)CrossRef Corlett, W.J., Hague, D.C.: Complementarity and the excess burden of taxation. Rev. Econ. Stud. 21, 21–30 (1953)CrossRef
go back to reference De Borger, B., Fosgerau, M.: The trade-off between money and time: a test of the theory of reference-dependent preferences. J. Urban Econ. 64, 101–115 (2008)CrossRef De Borger, B., Fosgerau, M.: The trade-off between money and time: a test of the theory of reference-dependent preferences. J. Urban Econ. 64, 101–115 (2008)CrossRef
go back to reference De Borger, B., Proost, S.: Reforming Transport Pricing in the European Union: A Modelling Approach, Transport Economics, Management and Policy Series. Edward Elgar, Cheltenham (2001) De Borger, B., Proost, S.: Reforming Transport Pricing in the European Union: A Modelling Approach, Transport Economics, Management and Policy Series. Edward Elgar, Cheltenham (2001)
go back to reference de Palma, A., Fosgerau, M.: Dynamic traffic modeling. In: de Palma, A., Lindsey, R., Quinet, E., Vickerman, R. (eds.) A Handbook of Transport Economics. Edward Elgar, Cheltenham (2011) de Palma, A., Fosgerau, M.: Dynamic traffic modeling. In: de Palma, A., Lindsey, R., Quinet, E., Vickerman, R. (eds.) A Handbook of Transport Economics. Edward Elgar, Cheltenham (2011)
go back to reference de Palma, A., Marchal, F., Nesterov, Y.: METROPOLIS: modular system for dynamic traffic simulation. Transp. Res. Rec. 1607, 178–184 (1997)CrossRef de Palma, A., Marchal, F., Nesterov, Y.: METROPOLIS: modular system for dynamic traffic simulation. Transp. Res. Rec. 1607, 178–184 (1997)CrossRef
go back to reference Engelson, L., Kristoffersson, I., de Palma, A., Motamedi, K., Saifuzzaman, M.: Comparison of two dynamic transportation models: The case of Stockholm congestion charging. Presented at the 4th TRB conference on Innovations in Travel Modeling, Tampa (2012) Engelson, L., Kristoffersson, I., de Palma, A., Motamedi, K., Saifuzzaman, M.: Comparison of two dynamic transportation models: The case of Stockholm congestion charging. Presented at the 4th TRB conference on Innovations in Travel Modeling, Tampa (2012)
go back to reference Fosgerau, M.: Investigating the distribution of the value of travel time savings. Transp. Res. Part B: Methodol. 40, 688–707 (2006)CrossRef Fosgerau, M.: Investigating the distribution of the value of travel time savings. Transp. Res. Part B: Methodol. 40, 688–707 (2006)CrossRef
go back to reference Fosgerau, M.: On the relation between the mean and variance of delay in dynamic queues with random capacity and demand. J. Econ. Dynam. Control 34, 598–603 (2010)CrossRef Fosgerau, M.: On the relation between the mean and variance of delay in dynamic queues with random capacity and demand. J. Econ. Dynam. Control 34, 598–603 (2010)CrossRef
go back to reference Fosgerau, M.: How a fast lane may replace a congestion toll. Transp. Res. Part B 45, 845–851 (2011)CrossRef Fosgerau, M.: How a fast lane may replace a congestion toll. Transp. Res. Part B 45, 845–851 (2011)CrossRef
go back to reference Fosgerau, M., Engelson, L.: The value of travel time variance. Transp. Res. Part B: Methodol. 45, 1–8 (2011)CrossRef Fosgerau, M., Engelson, L.: The value of travel time variance. Transp. Res. Part B: Methodol. 45, 1–8 (2011)CrossRef
go back to reference Fosgerau, M., Karlstrom, A.: The value of reliability. Transp. Res. Part B 44, 38–49 (2010)CrossRef Fosgerau, M., Karlstrom, A.: The value of reliability. Transp. Res. Part B 44, 38–49 (2010)CrossRef
go back to reference Fosgerau, M., Pilegaard, N.: Cost-benefit rules for transport projects when labor supply is endogenous and taxes are distortionary. Munich Personal RePEc Archive 3902 (2007) Fosgerau, M., Pilegaard, N.: Cost-benefit rules for transport projects when labor supply is endogenous and taxes are distortionary. Munich Personal RePEc Archive 3902 (2007)
go back to reference Fosgerau, M., Van Dender, K.: Road pricing with complications. OECD/ITF Joint Research Centre Discussion Papers 2010-2 (2010) Fosgerau, M., Van Dender, K.: Road pricing with complications. OECD/ITF Joint Research Centre Discussion Papers 2010-2 (2010)
go back to reference Geroliminis, N., Daganzo, C.F.: Existence of urban-scale macroscopic fundamental diagrams: some experimental findings. Transportation Research Part B: Methodological 42, 759–770 (2008)CrossRef Geroliminis, N., Daganzo, C.F.: Existence of urban-scale macroscopic fundamental diagrams: some experimental findings. Transportation Research Part B: Methodological 42, 759–770 (2008)CrossRef
go back to reference Graham, D., Van Dender, K.: Pricing congestion with heterogeneous agglomeration externalities and workers. mimeo (2009) Graham, D., Van Dender, K.: Pricing congestion with heterogeneous agglomeration externalities and workers. mimeo (2009)
go back to reference Kreiner, C.T., Verdelin, N.: Optimal provision of public goods: a synthesis*. Scand. J. Econ. 114, 384–408 (2012)CrossRef Kreiner, C.T., Verdelin, N.: Optimal provision of public goods: a synthesis*. Scand. J. Econ. 114, 384–408 (2012)CrossRef
go back to reference Kristoffersson, I., Engelson, L.: A dynamic transportation model for the Stockholm area: implementation issues regarding departure time choice and od-pair reduction. Netw. Spatial Econ. 9, 551–573 (2009)CrossRef Kristoffersson, I., Engelson, L.: A dynamic transportation model for the Stockholm area: implementation issues regarding departure time choice and od-pair reduction. Netw. Spatial Econ. 9, 551–573 (2009)CrossRef
go back to reference Mas-Colell, A., Whinston, M., Green, J.: Microeconomic Theory. Oxford Press, Oxford (1995) Mas-Colell, A., Whinston, M., Green, J.: Microeconomic Theory. Oxford Press, Oxford (1995)
go back to reference Menendez, M., Daganzo, C.F.: Effects of HOV lanes on freeway bottlenecks. Transp. Res. Part B 41, 809–822 (2007)CrossRef Menendez, M., Daganzo, C.F.: Effects of HOV lanes on freeway bottlenecks. Transp. Res. Part B 41, 809–822 (2007)CrossRef
go back to reference Munk, K.J.: Rules of normalisation and their importance for interpretation of systems of optimal taxation (No. Working Paper 2006-13). School of Economics and Management, University of Aarhus (2006) Munk, K.J.: Rules of normalisation and their importance for interpretation of systems of optimal taxation (No. Working Paper 2006-13). School of Economics and Management, University of Aarhus (2006)
go back to reference Noland, R.B., Small, K.A.: Travel-time uncertainty, departure time choice, and the cost of morning commutes. Transp. Res. Rec. 1493, 150–158 (1995) Noland, R.B., Small, K.A.: Travel-time uncertainty, departure time choice, and the cost of morning commutes. Transp. Res. Rec. 1493, 150–158 (1995)
go back to reference OECD: Implementing Congestion Charging: Summary and Conclusions. OECD/ITF Joint Transport Research Centre Discussion Papers (2010) OECD: Implementing Congestion Charging: Summary and Conclusions. OECD/ITF Joint Transport Research Centre Discussion Papers (2010)
go back to reference Parry, I., Small, K.A.: Should urban transit subsidies be reduced? Am. Econ. Rev. 99, 700–724 (2009)CrossRef Parry, I., Small, K.A.: Should urban transit subsidies be reduced? Am. Econ. Rev. 99, 700–724 (2009)CrossRef
go back to reference Parry, I.W.H., Small, K.A.: Does Britain or the United States have the right gasoline tax? Am. Econ. Rev. 95, 1276–1289 (2005)CrossRef Parry, I.W.H., Small, K.A.: Does Britain or the United States have the right gasoline tax? Am. Econ. Rev. 95, 1276–1289 (2005)CrossRef
go back to reference Pilegaard, N., Fosgerau, M.: Cost-benefit analysis of a transport improvement in the case of search unemployment. J. Transp. Econ. Policy 42, 23–42 (2008) Pilegaard, N., Fosgerau, M.: Cost-benefit analysis of a transport improvement in the case of search unemployment. J. Transp. Econ. Policy 42, 23–42 (2008)
go back to reference Raux, C.: Comments on “The London congestion charge: a tentative economic appraisal”. Transp. Policy 12, 368–371 (2005)CrossRef Raux, C.: Comments on “The London congestion charge: a tentative economic appraisal”. Transp. Policy 12, 368–371 (2005)CrossRef
go back to reference Safirova, E., Gillingham, K., Parry, I., Nelson, P., Harrington, W., Mason, D. Welfare and distributional effects of road pricing schemes for metropolitan Washington DC. In: Road Pricing: Theory and Evidence, Research in Transportation Economics. Elsevier JAI, Amsterdam, pp. 179–208 (2004) Safirova, E., Gillingham, K., Parry, I., Nelson, P., Harrington, W., Mason, D. Welfare and distributional effects of road pricing schemes for metropolitan Washington DC. In: Road Pricing: Theory and Evidence, Research in Transportation Economics. Elsevier JAI, Amsterdam, pp. 179–208 (2004)
go back to reference Small, K.: The scheduling of consumer activities: work trips. Am. Econ. Rev 72, 467–479 (1982) Small, K.: The scheduling of consumer activities: work trips. Am. Econ. Rev 72, 467–479 (1982)
go back to reference Small, K.A., Van Dender, K.. Long run trends in transport demand, fuel price elasticities and implications of the oil outlook for transport policy. ITF Discussion Paper 16 (2007) Small, K.A., Van Dender, K.. Long run trends in transport demand, fuel price elasticities and implications of the oil outlook for transport policy. ITF Discussion Paper 16 (2007)
go back to reference Small, K.A., Verhoef, E.T.: Urban Transportation Economics. Routledge, London and New York (2007) Small, K.A., Verhoef, E.T.: Urban Transportation Economics. Routledge, London and New York (2007)
go back to reference Small, K.A., Winston, C., Yan, J.: Uncovering the distribution of motorists’ preferences for travel time and reliability. Econometrica 73, 1367–1382 (2005)CrossRef Small, K.A., Winston, C., Yan, J.: Uncovering the distribution of motorists’ preferences for travel time and reliability. Econometrica 73, 1367–1382 (2005)CrossRef
go back to reference Small, K.A., Yan, J.: The value of value pricing’’ of roads: second-best pricing and product differentiation. J. Urban Econ. 49, 310–336 (2001)CrossRef Small, K.A., Yan, J.: The value of value pricing’’ of roads: second-best pricing and product differentiation. J. Urban Econ. 49, 310–336 (2001)CrossRef
go back to reference Sumalee, A., May, T., Shepherd, S.: Comparison of judgmental and optimal road pricing cordons. Transp. Policy 12, 384–390 (2005)CrossRef Sumalee, A., May, T., Shepherd, S.: Comparison of judgmental and optimal road pricing cordons. Transp. Policy 12, 384–390 (2005)CrossRef
go back to reference Van Dender, K.: Transport taxes with multiple trip purposes. Scand. J. Econ. 105, 295–310 (2003)CrossRef Van Dender, K.: Transport taxes with multiple trip purposes. Scand. J. Econ. 105, 295–310 (2003)CrossRef
go back to reference Verhoef, E.T.: Second-best congestion pricing in general networks: heuristic algorithms for finding second-best optimal toll levels and toll points. Transp. Res. Part B 36, 707–729 (2002)CrossRef Verhoef, E.T.: Second-best congestion pricing in general networks: heuristic algorithms for finding second-best optimal toll levels and toll points. Transp. Res. Part B 36, 707–729 (2002)CrossRef
go back to reference Verhoef, E.T., Small, K.A.: Product differentiation on roads: constrained congestion pricing with heterogeneous users. J. Transp. Econ. Policy 38, 127–156 (2004) Verhoef, E.T., Small, K.A.: Product differentiation on roads: constrained congestion pricing with heterogeneous users. J. Transp. Econ. Policy 38, 127–156 (2004)
go back to reference Vickrey, W.S.: Congestion theory and transport investment. Am. Econ. Rev. 59, 251–261 (1969) Vickrey, W.S.: Congestion theory and transport investment. Am. Econ. Rev. 59, 251–261 (1969)
go back to reference Vickrey, W.S.: Pricing, metering, and efficiently using urban transportation facilities. Highway Res. Rec. 476, 36–48 (1973) Vickrey, W.S.: Pricing, metering, and efficiently using urban transportation facilities. Highway Res. Rec. 476, 36–48 (1973)
go back to reference Zhu, X., Van Ommeren, J., Rietveld, P.: Indirect benefits of infrastructure improvement in the case of an imperfect labor market. Transp. Res. Part B 43, 57–72 (2009)CrossRef Zhu, X., Van Ommeren, J., Rietveld, P.: Indirect benefits of infrastructure improvement in the case of an imperfect labor market. Transp. Res. Part B 43, 57–72 (2009)CrossRef
Metadata
Title
Road pricing with complications
Authors
Mogens Fosgerau
Kurt Van Dender
Publication date
01-05-2013
Publisher
Springer US
Published in
Transportation / Issue 3/2013
Print ISSN: 0049-4488
Electronic ISSN: 1572-9435
DOI
https://doi.org/10.1007/s11116-012-9442-5

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