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Linear or nonlinear utility functions in logit models? The impact on German high-speed rail demand forecasts


  • Mandel, Benedikt
  • Gaudry, Marc
  • Rothengatter, Werner


We have shown that nonlinearity of the representative utility functions of the Logit model applied to an intercity mode choice model implied the presence of asymmetry and of thresholds in the response curve, as well as results that had more reasonable properties (diminishing marginal values of time savings, elasticities and values of time that differed among the modes), and yielded very different high-speed rail market shares for Germany than results obtained with the usual linear utility functions.

Suggested Citation

  • Mandel, Benedikt & Gaudry, Marc & Rothengatter, Werner, 1994. "Linear or nonlinear utility functions in logit models? The impact on German high-speed rail demand forecasts," Transportation Research Part B: Methodological, Elsevier, vol. 28(2), pages 91-101, April.
  • Handle: RePEc:eee:transb:v:28:y:1994:i:2:p:91-101

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    Cited by:

    1. Kim, Kyung Min & Hong, Sung-Pil & Ko, Suk-Joon & Kim, Dowon, 2015. "Does crowding affect the path choice of metro passengers?," Transportation Research Part A: Policy and Practice, Elsevier, vol. 77(C), pages 292-304.
    2. Jeppe Rich & Stefan L. Mabit, 2016. "Cost damping and functional form in transport models," Transportation, Springer, vol. 43(5), pages 889-912, September.
    3. Stathopoulos, Amanda & Hess, Stephane, 2012. "Revisiting reference point formation, gains–losses asymmetry and non-linear sensitivities with an emphasis on attribute specific treatment," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(10), pages 1673-1689.
    4. Bühler, Georg & Jochem, Patrick, 2008. "CO2 Emission Reduction in Freight Transports How to Stimulate Environmental Friendly Behaviour?," ZEW Discussion Papers 08-066, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
    5. Nakagawa, Dai & Hatoko, Masatoshi, 2007. "Reevaluation of Japanese high-speed rail construction: Recent situation of the north corridor Shinkansen and its way to completion," Transport Policy, Elsevier, vol. 14(2), pages 150-164, March.
    6. Amanda Stathopoulos & Stephane Hess, 2011. "Referencing, Gains-Losses Asymmetry And Non-Linear Sensitivities In Commuter Decisions: One Size Does Not Fit All!," Working Papers 0511, CREI Università degli Studi Roma Tre, revised 2011.
    7. Christiaan Behrens & Eric Pels, 2009. "Intermodal Competition in The London-Paris Passenger Market: High-Speed Rail and Air Transport," Tinbergen Institute Discussion Papers 09-051/3, Tinbergen Institute.
    8. Marasco, A. & Picucci, A. & Romano, A., 2016. "Market share dynamics using Lotka–Volterra models," Technological Forecasting and Social Change, Elsevier, vol. 105(C), pages 49-62.

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