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Multiple discrete-continuous choice models with additively separable utility functions and linear utility on outside good: Model properties and characterization of demand functions

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  • Saxena, Shobhit
  • Pinjari, Abdul Rawoof
  • Bhat, Chandra R.
Abstract
In this paper, we enhance the current understanding of the properties of multiple discrete-continuous (MDC) choice models with additively separable (AS), independent and identically distributed (IID) utility functions, and linear utility form on the essential outside good. First, we highlight that the prior implementations of this model in the literature ignore primal feasibility conditions related to the budget constraint and the essential nature of outside good in formulating the model likelihood function. Second, we evaluate the suitability and performance of the model for alternative consumption patterns relative to the budget. In addition, we provide a systematic comparison of the performance of MDC choice models with the linear outside good utility form (i.e., the Lγ-profile model) and those with the non-linear outside good utility form (i.e., the NLγ-profile model). Third, for the Lγ-profile model with infinite budgets (i.e., when a very small proportion of the budget is allocated to inside goods), we derive the distributions of the resulting optimal demand functions and analytic expressions for the corresponding first and second moments, and identify a property that makes it easy to estimate the utility function parameters of an inside alternative even when consumption data is not available for other alternatives. In addition, perhaps for the first time in the literature, we show how an independent system of Tobit models can be derived as a restricted version of the utility-theoretic Lγ-profile MDC model structure. Finally, we apply the model for an empirical analysis of expenditure patterns of leisure trips from a domestic tourism survey sample of households in India.

Suggested Citation

  • Saxena, Shobhit & Pinjari, Abdul Rawoof & Bhat, Chandra R., 2022. "Multiple discrete-continuous choice models with additively separable utility functions and linear utility on outside good: Model properties and characterization of demand functions," Transportation Research Part B: Methodological, Elsevier, vol. 155(C), pages 526-557.
    • Handle: RePEc:eee:transb:v:155:y:2022:i:c:p:526-557
    DOI: 10.1016/j.trb.2021.11.011
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    References listed on IDEAS

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    1. Bhat, Chandra R. & Mondal, Aupal & Asmussen, Katherine E. & Bhat, Aarti C., 2020. "A multiple discrete extreme value choice model with grouped consumption data and unobserved budgets," Transportation Research Part B: Methodological, Elsevier, vol. 141(C), pages 196-222.
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    12. Saxena, Shobhit & Pinjari, Abdul Rawoof & Roy, Ananya & Paleti, Rajesh, 2021. "Multiple discrete-continuous choice models with bounds on consumptions," Transportation Research Part A: Policy and Practice, Elsevier, vol. 149(C), pages 237-265.
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    Cited by:

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    2. Massoud Moslehpour & Sahand E. P. Faez & Brij B. Gupta & Varsha Arya, 2023. "A Fuzzy-Based Analysis of the Mediating Factors Affecting Sustainable Purchase Intentions of Smartphones: The Case of Two Brands in Two Asian Countries," Sustainability, MDPI, vol. 15(12), pages 1-23, June.
    3. Shobhit Saxena & Abdul Rawoof Pinjari & Chandra R. Bhat & Aupal Mondal, 2024. "A flexible multiple discrete–continuous probit (MDCP) model: application to analysis of expenditure patterns of domestic tourists in India," Transportation, Springer, vol. 51(4), pages 1299-1326, August.
    4. Bhat, Chandra R., 2022. "A new closed-form two-stage budgeting-based multiple discrete-continuous model," Transportation Research Part B: Methodological, Elsevier, vol. 164(C), pages 162-192.
    5. Muzyka, Roksana & Misztal, Edyta & Hrabak, Joanna & Banks, Scott W. & Sajdak, Marcin, 2023. "Various biomass pyrolysis conditions influence the porosity and pore size distribution of biochar," Energy, Elsevier, vol. 263(PE).
    6. Bhat, Chandra R., 2022. "A closed-form multiple discrete-count extreme value (MDCNTEV) model," Transportation Research Part B: Methodological, Elsevier, vol. 164(C), pages 65-86.
    7. Hanemann, Michael & Labandeira, Xavier & Labeaga, José M. & Vásquez-Lavín, Felipe, 2024. "Discrete-continuous models of residential energy demand: A comprehensive review," Resource and Energy Economics, Elsevier, vol. 77(C).

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