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A new family of qualitative choice models: An application of reference models to travel mode choice

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  • Bouscasse, Hélène
  • Joly, Iragaël
  • Peyhardi, Jean

Abstract

This paper considers the recently introduced family of reference models dedicated to non-ordered alternatives. The link function of reference models is that of the multinomial logit model (MNL) replacing the logistic cumulative distribution function (cdf) by other cdfs (e.g., Gumbel, Student). We determine all usual economic outputs (willingness-to-pay, elasticities,...). We also show that the IIA property generally does not hold for this family of models, because of their noninvariance to the alternative chosen as a reference. We estimate and compare five reference models to the MNL on a travel mode-choice survey: according to the chosen cdf, reference models lead to a better fit and retrieve consistent economic outputs estimations even when there is a high unobserved heterogeneity.

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  • Bouscasse, Hélène & Joly, Iragaël & Peyhardi, Jean, 2019. "A new family of qualitative choice models: An application of reference models to travel mode choice," Transportation Research Part B: Methodological, Elsevier, vol. 121(C), pages 74-91.
  • Handle: RePEc:eee:transb:v:121:y:2019:i:c:p:74-91
    DOI: 10.1016/j.trb.2018.12.010
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    Cited by:

    1. Jean Peyhardi, 2020. "Robustness of Student link function in multinomial choice models," Post-Print hal-03227808, HAL.
    2. Peyhardi, Dr Jean, 2020. "Robustness of Student link function in multinomial choice models," Journal of choice modelling, Elsevier, vol. 36(C).
    3. Senlai Zhu & Jie Ma & Tianpei Tang & Quan Shi, 2020. "A Combined Modal and Route Choice Behavioral Complementarity Equilibrium Model with Users of Vehicles and Electric Bicycles," IJERPH, MDPI, vol. 17(10), pages 1-18, May.
    4. Ao, Yibin & Zhang, Yuting & Wang, Yan & Chen, Yunfeng & Yang, Linchuan, 2020. "Influences of rural built environment on travel mode choice of rural residents: The case of rural Sichuan," Journal of Transport Geography, Elsevier, vol. 85(C).

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