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Travel Demand Model with Heterogeneous Users and Endogenous Congestion: An application to optimal pricing of bus services

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  • Batarce, Marco
  • Ivaldi, Marc
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    Abstract

    We formulate and estimate a structural model for travel demand, in which users have hetero- geneous preferences and make their transport decisions considering the network congestion. A key component in the model is that users have incomplete information about the preferences of other users in the network and they behave strategically when they make transportation decisions (mode and number of trips). Therefore, the congestion level is endogenously determinate in the equilibrium of the game played by users. For the estimation, we use the first order conditions of the users' utility maximization problem to derive the likelihood function and apply Bayesian methods for inference. Using data from Santiago, Chile, the estimated demand elasticities are consistent with results reported in the literature and the parameters confirm the effect of the congestion on the individuals' preferences. Finally, we compute optimal nonlinear prices for buses in Santiago, Chile. As a result, the nonlinear pricing schedule produces total benefits slightly greater than the linear pricing. Also, nonlinear pricing implies fewer individuals making trips by bus, but a higher number of trips per individual.

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    Bibliographic Info

    Paper provided by Toulouse School of Economics (TSE) in its series TSE Working Papers with number 10-226.

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    Date of creation: May 2010
    Date of revision: Apr 2011
    Handle: RePEc:tse:wpaper:24298

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    1. Kim, Jaehwan & Allenby, Greg M. & Rossi, Peter E., 2007. "Product attributes and models of multiple discreteness," Journal of Econometrics, Elsevier, vol. 138(1), pages 208-230, May.
    2. Proost, Stef & Van Dender, Kurt, 2004. "7. Marginal Social Cost Pricing For All Transport Modes And The Effects Of Modal Budget Constraints," Research in Transportation Economics, Elsevier, vol. 9(1), pages 159-177, January.
    3. DE BORGER, Bruno, . "Discrete choice models and optimal two-part tariffs in the presence of externalities: Optimal taxation of cars," Working Papers 2000021, University of Antwerp, Faculty of Applied Economics.
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    8. Jong-Hee Hahn, 2000. "Nonlinear Pricing of Telecommunications with Call and Network Externalities," Keele Department of Economics Discussion Papers (1995-2001) 2000/15, Department of Economics, Keele University, revised Nov 2001.
    9. Joan L. Walker & Moshe Ben-Akiva & Denis Bolduc, 2007. "Identification of parameters in normal error component logit-mixture (NECLM) models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(6), pages 1095-1125.
    10. Sundararajan, Arun, 2004. "Nonlinear pricing and type-dependent network effects," Economics Letters, Elsevier, vol. 83(1), pages 107-113, April.
    11. Spiess, Heinz & Florian, Michael, 1989. "Optimal strategies: A new assignment model for transit networks," Transportation Research Part B: Methodological, Elsevier, vol. 23(2), pages 83-102, April.
    12. Timilsina, Govinda R. & Dulal, Hari B., 2008. "Fiscal policy instruments for reducing congestion and atmospheric emissions in the transport sector : a review," Policy Research Working Paper Series 4652, The World Bank.
    13. Lindsey, Robin & Wang, Judith & Yang, Hai, 2010. "Nonlinear Pricing on Private Roads with Congestion and Toll Collection Costs," Working Papers 2010-3, University of Alberta, Department of Economics.
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    Cited by:
    1. Quentin David & Renaud Foucart, 2012. "Modal choice and optimal congestion," CREA Discussion Paper Series 12-03, Center for Research in Economic Analysis, University of Luxembourg.

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