IDEAS home Printed from https://ideas.repec.org/a/eee/transb/v38y2004i8p733-749.html
   My bibliography  Save this article

Modeling variable demand equilibrium under second-best road pricing

Author

Listed:
  • Zhang, H. M.
  • Ge, Y. E.

Abstract

This paper presents a class of parameterized second-best road pricing schemes, where the toll on each tolled link is proportional to the Pigouvian charge (i.e., the difference between marginal social cost and marginal private cost). A general framework is formulated to model variable demand equilibrium under parameterized road pricing schemes of this kind, which yields an Hybrid-equilibrium (or H-equilibrium for short) solution. From an economic point of view, the formulated model is shown to be able to evaluate the parameterized pricing scheme embedded in the model. Applications including the evaluation of road pricing schemes and the issue of road pricing design are employed to highlight the attractive features of the proposed H-equilibrium formulation.

Suggested Citation

  • Zhang, H. M. & Ge, Y. E., 2004. "Modeling variable demand equilibrium under second-best road pricing," Transportation Research Part B: Methodological, Elsevier, vol. 38(8), pages 733-749, September.
    • Handle: RePEc:eee:transb:v:38:y:2004:i:8:p:733-749
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0191-2615(03)00129-2
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    2. 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).
    3. 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.
    4. 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.
    5. Kenneth Button & Erik Verhoef (ed.), 1998. "Road Pricing, Traffic Congestion and the Environment," Books, Edward Elgar Publishing, number 940.
    6. Nathan H. Gartner, 1980. "Optimal Traffic Assignment with Elastic Demands: A Review Part II. Algorithmic Approaches," Transportation Science, INFORMS, vol. 14(2), pages 192-208, May.
    7. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, April.
    8. Dial, Robert B., 1999. "Minimal-revenue congestion pricing part I: A fast algorithm for the single-origin case," Transportation Research Part B: Methodological, Elsevier, vol. 33(3), pages 189-202, April.
    9. Sullivan, Arthur M., 1983. "Second-best policies for congestion externalities," Journal of Urban Economics, Elsevier, vol. 14(1), pages 105-123, July.
    10. Stella C. Dafermos, 1973. "Toll Patterns for Multiclass-User Transportation Networks," Transportation Science, INFORMS, vol. 7(3), pages 211-223, August.
    11. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    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. Yang, Hai & Huang, Hai-Jun, 1998. "Principle of marginal-cost pricing: how does it work in a general road network?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 32(1), pages 45-54, January.
    15. Nathan H. Gartner, 1980. "Optimal Traffic Assignment with Elastic Demands: A Review Part I. Analysis Framework," Transportation Science, INFORMS, vol. 14(2), pages 174-191, May.
    16. 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.
    17. Dial, Robert B., 2000. "Minimal-revenue congestion pricing Part II: An efficient algorithm for the general case," Transportation Research Part B: Methodological, Elsevier, vol. 34(8), pages 645-665, November.
    18. Liu, Louie Nan & McDonald, John F., 1999. "Economic efficiency of second-best congestion pricing schemes in urban highway systems," Transportation Research Part B: Methodological, Elsevier, vol. 33(3), pages 157-188, April.
    19. Wilson, John D., 1983. "Optimal road capacity in the presence of unpriced congestion," Journal of Urban Economics, Elsevier, vol. 13(3), pages 337-357, May.
    20. Richard H. M. Emmerink, 1998. "Road-Pricing: An Introduction," Advances in Spatial Science, in: Information and Pricing in Road Transportation, chapter 3, pages 35-57, Springer.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. (Jeff) Ban, Xuegang & Ferris, Michael C. & Tang, Lisa & Lu, Shu, 2013. "Risk-neutral second best toll pricing," Transportation Research Part B: Methodological, Elsevier, vol. 48(C), pages 67-87.
    2. Chen, Daqiang & Ignatius, Joshua & Sun, Danzhi & Goh, Mark & Zhan, Shalei, 2018. "Impact of congestion pricing schemes on emissions and temporal shift of freight transport," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 77-105.
    3. Rouhani, Omid M. & Niemeier, Debbie, 2014. "Flat versus spatially variable tolling: A case study in Fresno, California," Journal of Transport Geography, Elsevier, vol. 37(C), pages 10-18.
    4. Holgun-Veras, Jos & Cetin, Mecit, 2009. "Optimal tolls for multi-class traffic: Analytical formulations and policy implications," Transportation Research Part A: Policy and Practice, Elsevier, vol. 43(4), pages 445-467, May.
    5. Rodriguez-Roman, Daniel & Ritchie, Stephen G., 2020. "Surrogate-based optimization for multi-objective toll design problems," Transportation Research Part A: Policy and Practice, Elsevier, vol. 137(C), pages 485-503.
    6. Chi Xie & Xing Wu & Stephen Boyles, 2019. "Traffic equilibrium with a continuously distributed bound on travel weights: the rise of range anxiety and mental account," Annals of Operations Research, Springer, vol. 273(1), pages 279-310, February.
    7. Zhu, Shanjiang & Du, Longyuan & Zhang, Lei, 2013. "Rationing and pricing strategies for congestion mitigation: Behavioral theory, econometric model, and application in Beijing," Transportation Research Part B: Methodological, Elsevier, vol. 57(C), pages 210-224.
    8. Joakim Ekström & Leonid Engelson & Clas Rydergren, 2009. "Heuristic algorithms for a second-best congestion pricing problem," Netnomics, Springer, vol. 10(1), pages 85-102, April.
    9. Holgui­n-Veras, Jose & Cetin, Mecit & Xia, Shuwen, 2006. "A comparative analysis of US toll policy," Transportation Research Part A: Policy and Practice, Elsevier, vol. 40(10), pages 852-871, December.
    10. Liu, Zhiyuan & Wang, Zewen & Cheng, Qixiu & Yin, Ruyang & Wang, Meng, 2021. "Estimation of urban network capacity with second-best constraints for multimodal transport systems," Transportation Research Part B: Methodological, Elsevier, vol. 152(C), pages 276-294.
    11. Rodrigo Garrido, 2008. "Road Pricing for Hazardous Materials Transportation in Urban Networks," Networks and Spatial Economics, Springer, vol. 8(2), pages 273-285, September.
    12. M. Rouhani, Omid, 2014. "Road pricing: An overview," MPRA Paper 59662, University Library of Munich, Germany.
    13. Cipriani, Ernesto & Mannini, Livia & Montemarani, Barbara & Nigro, Marialisa & Petrelli, Marco, 2019. "Congestion pricing policies: Design and assessment for the city of Rome, Italy," Transport Policy, Elsevier, vol. 80(C), pages 127-135.
    14. Zhong, Shaopeng & Cheng, Rong & Jiang, Yu & Wang, Zhong & Larsen, Allan & Nielsen, Otto Anker, 2020. "Risk-averse optimization of disaster relief facility location and vehicle routing under stochastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 141(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Button, Kenneth, 2004. "1. The Rationale For Road Pricing: Standard Theory And Latest Advances," Research in Transportation Economics, Elsevier, vol. 9(1), pages 3-25, January.
    2. 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.
    3. C. Robin Lindsey & Erik T. Verhoef, 2000. "Traffic Congestion and Congestion Pricing," Tinbergen Institute Discussion Papers 00-101/3, Tinbergen Institute.
    4. Erik T. Verhoef, 2000. "Second-Best Congestion Pricing in General Networks - Algorithms for Finding Second-Best Optimal Toll Levels and Toll Points," Tinbergen Institute Discussion Papers 00-084/3, Tinbergen Institute.
    5. Kockelman, Kara M. & Lemp, Jason D., 2011. "Anticipating new-highway impacts: Opportunities for welfare analysis and credit-based congestion pricing," Transportation Research Part A: Policy and Practice, Elsevier, vol. 45(8), pages 825-838, October.
    6. Verhoef, Erik T. & Koh, Andrew & Shepherd, Simon, 2010. "Pricing, capacity and long-run cost functions for first-best and second-best network problems," Transportation Research Part B: Methodological, Elsevier, vol. 44(7), pages 870-885, August.
    7. 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.
    8. 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.
    9. (Jeff) Ban, Xuegang & Ferris, Michael C. & Tang, Lisa & Lu, Shu, 2013. "Risk-neutral second best toll pricing," Transportation Research Part B: Methodological, Elsevier, vol. 48(C), pages 67-87.
    10. Mun, Se-il & Konishi, Ko-ji & Yoshikawa, Kazuhiro, 2003. "Optimal cordon pricing," Journal of Urban Economics, Elsevier, vol. 54(1), pages 21-38, July.
    11. Erik T. Verhoef, 1998. "The Implementation of Marginal External Cost Pricing in Road Transport," Tinbergen Institute Discussion Papers 98-091/3, Tinbergen Institute.
    12. Georgina Santos & Erik Verhoef, 2011. "Road Congestion Pricing," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 23, Edward Elgar Publishing.
    13. Joakim Ekström & Leonid Engelson & Clas Rydergren, 2009. "Heuristic algorithms for a second-best congestion pricing problem," Netnomics, Springer, vol. 10(1), pages 85-102, April.
    14. Kraus, Marvin, 2003. "A new look at the two-mode problem," Journal of Urban Economics, Elsevier, vol. 54(3), pages 511-530, November.
    15. Lei Zhang & David Levinson & Shanjiang Zhu, 2007. "Agent-Based Model of Price Competition and Product Differentiation on Congested Networks," Working Papers 200809, University of Minnesota: Nexus Research Group.
    16. Erik T. Verhoef & Kenneth A. Small, 1999. "Product Differentiation on Roads: Second-Best Congestion Pricing with Heterogeneity under Public and Private Ownership," Tinbergen Institute Discussion Papers 99-066/3, Tinbergen Institute.
    17. Verhoef, Erik Teodoor, 2000. "The Generalized Second-Best Network Congestion Pricing Problem," ERSA conference papers ersa00p336, European Regional Science Association.
    18. De Borger, Bruno & Proost, Stef, 2012. "Transport policy competition between governments: A selective survey of the literature," Economics of Transportation, Elsevier, vol. 1(1), pages 35-48.
    19. 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.
    20. Tikoudis, Ioannis, 2023. "Revisiting the Pigouvian tax in urban roads: Housing supply restrictions, leaking profits and spatial inequality," Economics of Transportation, Elsevier, vol. 35(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:transb:v:38:y:2004:i:8:p:733-749. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/548/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.