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Scheduling choices under rank dependent utility maximization

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Abstract

Rank dependent utility maximization is applied in maximizing a linear and a quadratic scheduling model considering a subjective weighting over uncertain outcomes. The optimal departure time and maximal utility are different from that under expect utility maximization in the transformed travel time density function. Probability weighting is found when estimating the linear model and the estimated weighting function suggests optimism behaviour of respondents. The results also reveal the evidence of heterogeneity in scheduling preferences. Moreover, evidence for the variable of excessive travel time beyond the traditional scheduling model specification is found even with controlling for probability weighting. Our results also show no empirical equivalence between the scheduling model and its derived forms.

Suggested Citation

  • Wang, Qian & Sundberg, Marcus & Karlström, Anders, 2013. "Scheduling choices under rank dependent utility maximization," Working papers in Transport Economics 2013:16, CTS - Centre for Transport Studies Stockholm (KTH and VTI).
  • Handle: RePEc:hhs:ctswps:2013_016
    Note: The abstract of this paper has been presented at the 1st European Symposium on Quantitative Methods in Transportation Systems (LATSIS) 2012 Sep. The full paper has been presented on Euro Working Group on Transportation (EWGT) 2013 Sep., and a compact version of this paper has been submitted to EWGT2013 proceeding: Elsevier Procedia - Social and Behavioral Sciences
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    1. Diecidue, Enrico & Wakker, Peter P, 2001. "On the Intuition of Rank-Dependent Utility," Journal of Risk and Uncertainty, Springer, vol. 23(3), pages 281-298, November.
    2. Donald P. Gaver, 1968. "Headstart Strategies for Combating Congestion," Transportation Science, INFORMS, vol. 2(2), pages 172-181, May.
    3. Marc Rieger & Mei Wang, 2006. "Cumulative prospect theory and the St. Petersburg paradox," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 665-679, August.
    4. Lam, Terence C. & Small, Kenneth A., 2003. "The Value of Time and Reliability: Measurement from a Value Pricing Experiment," University of California Transportation Center, Working Papers qt47s4z7z5, University of California Transportation Center.
    5. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    6. Fosgerau, Mogens & Engelson, Leonid, 2011. "The value of travel time variance," Transportation Research Part B: Methodological, Elsevier, vol. 45(1), pages 1-8, January.
    7. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    8. Lam, Terence C. & Small, Kenneth A., 0. "The value of time and reliability: measurement from a value pricing experiment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 37(2-3), pages 231-251, April.
    9. Stefanie Peer & Carl Koopmans & Erik T. Verhoef, 2010. "Predicting Travel Time Variability for Cost-Benefit Analysis," Tinbergen Institute Discussion Papers 10-071/3, Tinbergen Institute.
    10. Börjesson, Maria & Eliasson, Jonas & Franklin, Joel, 2012. "Valuations of travel time variability in scheduling versus mean-variance models," Working papers in Transport Economics 2012:2, CTS - Centre for Transport Studies Stockholm (KTH and VTI).
    11. Paul Koster & Erik T. Verhoef, 2012. "A Rank-dependent Scheduling Model," Journal of Transport Economics and Policy, University of Bath, vol. 46(1), pages 123-138, January.
    12. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    13. Small, Kenneth A., 2001. "The Value of Pricing," University of California Transportation Center, Working Papers qt0rm449sx, University of California Transportation Center.
    14. Hensher, David A. & Greene, William H. & Li, Zheng, 2011. "Embedding risk attitude and decision weights in non-linear logit to accommodate time variability in the value of expected travel time savings," Transportation Research Part B: Methodological, Elsevier, vol. 45(7), pages 954-972, August.
    15. van Lint, J.W.C. & van Zuylen, Henk J. & Tu, H., 2008. "Travel time unreliability on freeways: Why measures based on variance tell only half the story," Transportation Research Part A: Policy and Practice, Elsevier, vol. 42(1), pages 258-277, January.
    16. Wakker,Peter P., 2010. "Prospect Theory," Cambridge Books, Cambridge University Press, number 9780521765015, September.
    17. Fosgerau, Mogens & Karlström, Anders, 2010. "The value of reliability," Transportation Research Part B: Methodological, Elsevier, vol. 44(1), pages 38-49, January.
    18. Drazen Prelec, 1998. "The Probability Weighting Function," Econometrica, Econometric Society, vol. 66(3), pages 497-528, May.
    19. Vickrey, William S, 1969. "Congestion Theory and Transport Investment," American Economic Review, American Economic Association, vol. 59(2), pages 251-260, May.
    20. Small, Kenneth A, 1982. "The Scheduling of Consumer Activities: Work Trips," American Economic Review, American Economic Association, vol. 72(3), pages 467-479, June.
    21. Eliasson, Jonas, 2009. "Forecasting travel time variability," MPRA Paper 92470, University Library of Munich, Germany.
    22. Bates, John & Polak, John & Jones, Peter & Cook, Andrew, 0. "The valuation of reliability for personal travel," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 37(2-3), pages 191-229, April.
    23. Zheng Li & Alejandro Tirachini & David A. Hensher, 2012. "Embedding Risk Attitudes in a Scheduling Model: Application to the Study of Commuting Departure Time," Transportation Science, INFORMS, vol. 46(2), pages 170-188, May.
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    More about this item

    Keywords

    Scheduling models; Rank dependent utility; Risk attitudes; Heterogeneity;
    All these keywords.

    JEL classification:

    • R40 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - General

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