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Preference heterogeneity and congestion pricing: The two route case revisited

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  • Koster, Paul
  • Verhoef, Erik
  • Shepherd, Simon
  • Watling, David

Abstract

This paper studies first-best and second-best congestion pricing in the presence of unobserved and observed preference heterogeneity using a stylised stochastic user equilibrium choice model. Travellers choose between multiple alternatives, have heterogeneous values of travel times, and may differ in their valuation of variety. We derive first-best and second-best tolls taking into account how the overall network demand responds to expected generalized prices, including tolls. For second-best pricing, we show that with homogeneous values of times the welfare losses of second-best pricing are smaller when route choice is probabilistic than when route choice is deterministic. Furthermore, we find that with heterogeneous values of times and benefits of variety, uniform second-best tolls and group-differentiated tolls can be very close, implying potentially low welfare losses from the inability to differentiate tolls. Finally, we show that there are cases where all groups benefit from second-best congestion pricing, but that these cases are likely to be politically unacceptable because tolls are then higher for low income groups.

Suggested Citation

  • Koster, Paul & Verhoef, Erik & Shepherd, Simon & Watling, David, 2018. "Preference heterogeneity and congestion pricing: The two route case revisited," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 137-157.
    • Handle: RePEc:eee:transb:v:117:y:2018:i:pa:p:137-157
    DOI: 10.1016/j.trb.2018.08.010
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    1. Fisk, Caroline, 1980. "Some developments in equilibrium traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 14(3), pages 243-255, September.
    2. van den Berg, Vincent & Verhoef, Erik T., 2011. "Congestion tolling in the bottleneck model with heterogeneous values of time," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 60-78, January.
    3. Patrick Bayer & Christopher Timmins, 2007. "Estimating Equilibrium Models Of Sorting Across Locations," Economic Journal, Royal Economic Society, vol. 117(518), pages 353-374, March.
    4. MARCHAND, Maurice, 1968. "A note on optimal tolls in an imperfect environment," LIDAM Reprints CORE 22, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. Small, Kenneth A & Rosen, Harvey S, 1981. "Applied Welfare Economics with Discrete Choice Models," Econometrica, Econometric Society, vol. 49(1), pages 105-130, January.
    6. Verhoef, Erik T., 2002. "Second-best congestion pricing in general static transportation networks with elastic demands," Regional Science and Urban Economics, Elsevier, vol. 32(3), pages 281-310, May.
    7. Arnott, Richard & Kraus, Marvin, 1998. "When are anonymous congestion charges consistent with marginal cost pricing?," Journal of Public Economics, Elsevier, vol. 67(1), pages 45-64, January.
    8. de Jong, Gerard & Daly, Andrew & Pieters, Marits & van der Hoorn, Toon, 2007. "The logsum as an evaluation measure: Review of the literature and new results," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(9), pages 874-889, November.
    9. Small, Kenneth A. & Yan, Jia, 2001. "The Value of "Value Pricing" of Roads: Second-Best Pricing and Product Differentiation," Journal of Urban Economics, Elsevier, vol. 49(2), pages 310-336, March.
    10. Huang, Hai-Jun & Li, Zhi-Chun, 2007. "A multiclass, multicriteria logit-based traffic equilibrium assignment model under ATIS," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1464-1477, February.
    11. Maher, Mike & Stewart, Kathryn & Rosa, Andrea, 2005. "Stochastic social optimum traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 39(8), pages 753-767, September.
    12. Verhoef, Erik T., 2002. "Second-best congestion pricing in general networks. Heuristic algorithms for finding second-best optimal toll levels and toll points," Transportation Research Part B: Methodological, Elsevier, vol. 36(8), pages 707-729, September.
    13. Verhoef, Erik & Nijkamp, Peter & Rietveld, Piet, 1996. "Second-Best Congestion Pricing: The Case of an Untolled Alternative," Journal of Urban Economics, Elsevier, vol. 40(3), pages 279-302, November.
    14. Parry, Ian W.H., 2008. "How should heavy-duty trucks be taxed?," Journal of Urban Economics, Elsevier, vol. 63(2), pages 651-668, March.
    15. Anderson, Simon Peter & de Palma, Andre & Thisse, Jacques-Francois, 1988. "A Representative Consumer Theory of the Logit Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(3), pages 461-466, August.
    16. Carlos F. Daganzo & Yosef Sheffi, 1977. "On Stochastic Models of Traffic Assignment," Transportation Science, INFORMS, vol. 11(3), pages 253-274, August.
    17. Arnott, Richard & de Palma, Andre & Lindsey, Robin, 1992. "Route choice with heterogeneous drivers and group-specific congestion costs," Regional Science and Urban Economics, Elsevier, vol. 22(1), pages 71-102, March.
    18. Small, Kenneth A., 2001. "The Value of Pricing," University of California Transportation Center, Working Papers qt0rm449sx, University of California Transportation Center.
    19. Hai Yang, 1999. "System Optimum, Stochastic User Equilibrium, and Optimal Link Tolls," Transportation Science, INFORMS, vol. 33(4), pages 354-360, November.
    20. van den Berg, Vincent & Verhoef, Erik T., 2011. "Winning or losing from dynamic bottleneck congestion pricing?: The distributional effects of road pricing with heterogeneity in values of time and schedule delay," Journal of Public Economics, Elsevier, vol. 95(7-8), pages 983-992, August.
    21. van den Berg, Vincent & Verhoef, Erik T., 2011. "Winning or losing from dynamic bottleneck congestion pricing?," Journal of Public Economics, Elsevier, vol. 95(7), pages 983-992.
    22. Sumalee, Agachai & Xu, Wei, 2011. "First-best marginal cost toll for a traffic network with stochastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 41-59, January.
    23. Small, Kenneth A. & Yan, Jia, 2001. "The Value of "Value Pricing" of Roads: Second-Best Pricing and Product Differentiation," Journal of Urban Economics, Elsevier, vol. 49(2), pages 310-336, March.
    24. Verboven, Frank, 1996. "The nested logit model and representative consumer theory," Economics Letters, Elsevier, vol. 50(1), pages 57-63, January.
    25. Lei Zhang & David M. Levinson & Shanjiang Zhu, 2008. "Agent-Based Model of Price Competition, Capacity Choice, and Product Differentiation on Congested Networks," Journal of Transport Economics and Policy, University of Bath, vol. 42(3), pages 435-461, September.
    26. Yang, Hai & Huang, Hai-Jun, 2004. "The multi-class, multi-criteria traffic network equilibrium and systems optimum problem," Transportation Research Part B: Methodological, Elsevier, vol. 38(1), pages 1-15, January.
    27. de Palma, André & Kilani, Moez & Lindsey, Robin, 2008. "The merits of separating cars and trucks," Journal of Urban Economics, Elsevier, vol. 64(2), pages 340-361, September.
    28. Erik T. Verhoef & Kenneth A. Small, 2004. "Product Differentiation on Roads," Journal of Transport Economics and Policy, University of Bath, vol. 38(1), pages 127-156, January.
    29. Small, Kenneth A., 2012. "Valuation of travel time," Economics of Transportation, Elsevier, vol. 1(1), pages 2-14.
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