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Functional Forms in Discrete/Continuous Choice Models with General Corner Solution

Author

Listed:
  • Felipe Vásquez

    (Departamento de Economía, Universidad de Concepción.)

  • Michael Hanemann

    (Department of Agricultural and Resource Economics,University of California, Berkeley)

Abstract

In this paper we present a new utility model that serves as the basis for modeling discrete/continuous consumer choices with a general corner solution.The new model involves a more flexible representation of preferences than what has been used in the previous literature and, unlike most of this literature, it is not additively separable. This functional form can handle richer substitution patterns such as complementarity as well as substitution among goods. We focus in part on the Quadratic Box-Cox utility function and examine its properties from both theoretical and empirical perspectives. We identify the significance of the various parameters of the utility function, and demonstrate an estimation strategy that can be applied to demand systems involving both a small and large number of commodities.

Suggested Citation

  • Felipe Vásquez & Michael Hanemann, 2009. "Functional Forms in Discrete/Continuous Choice Models with General Corner Solution," Working Papers 08-2009, Departamento de Economía, Universidad de Concepción.
    • Handle: RePEc:cnc:wpaper:08-2009
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    Cited by:

    1. Pellegrini, Andrea & Rose, John Matthew, 2025. "On allowing endogenous minimum consumption bounds in the multiple discrete continuous choice model: An application to expenditure patterns," Transportation Research Part A: Policy and Practice, Elsevier, vol. 193(C).
    2. 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.
    3. Lloyd-Smith, Patrick, 2018. "A new approach to calculating welfare measures in Kuhn-Tucker demand models," Journal of choice modelling, Elsevier, vol. 26(C), pages 19-27.
    4. Bonnet, Céline & Richards, Timothy J., 2016. "Models of Consumer Demand for Differentiated Products," TSE Working Papers 16-741, Toulouse School of Economics (TSE).
    5. Chandra Bhat & Abdul Pinjari, 2014. "Multiple discrete-continuous choice models: a reflective analysis and a prospective view," Chapters, in: Stephane Hess & Andrew Daly (ed.), Handbook of Choice Modelling, chapter 19, pages 427-454, Edward Elgar Publishing.
    6. Kidokoro, Yukihiro, 2016. "A micro foundation for discrete choice models with multiple categories of goods," Journal of choice modelling, Elsevier, vol. 19(C), pages 54-72.
    7. Sikder, Sujan & Pinjari, Abdul Rawoof, 2013. "The benefits of allowing heteroscedastic stochastic distributions in multiple discrete-continuous choice models," Journal of choice modelling, Elsevier, vol. 9(C), pages 39-56.
    8. Neill, Clinton L. & Lahne, Jacob, 2022. "Matching reality: A basket and expenditure based choice experiment with sensory preferences," Journal of choice modelling, Elsevier, vol. 44(C).
    9. Palma, David & Hess, Stephane, 2022. "Extending the Multiple Discrete Continuous (MDC) modelling framework to consider complementarity, substitution, and an unobserved budget," Transportation Research Part B: Methodological, Elsevier, vol. 161(C), pages 13-35.
    10. Daniel K. Lew & Douglas M. Larson, 2011. "A Repeated Mixed Logit Approach to Valuing a Local Sport Fishery: The Case of Southeast Alaska Salmon," Land Economics, University of Wisconsin Press, vol. 87(4), pages 712-729.
    11. Steve Berry & Ahmed Khwaja & Vineet Kumar & Andres Musalem & Kenneth Wilbur & Greg Allenby & Bharat Anand & Pradeep Chintagunta & W. Hanemann & Przemek Jeziorski & Angelo Mele, 2014. "Structural models of complementary choices," Marketing Letters, Springer, vol. 25(3), pages 245-256, September.
    12. Abdul Pinjari & Chandra Bhat & David S. Bunch, 2013. "Workshop report: recent advances on modeling multiple discrete-continuous choices," Chapters, in: Stephane Hess & Andrew Daly (ed.), Choice Modelling, chapter 3, pages 73-90, Edward Elgar Publishing.
    13. Castro, Marisol & Bhat, Chandra R. & Pendyala, Ram M. & Jara-Díaz, Sergio R., 2012. "Accommodating multiple constraints in the multiple discrete–continuous extreme value (MDCEV) choice model," Transportation Research Part B: Methodological, Elsevier, vol. 46(6), pages 729-743.
    14. Pinjari, Abdul Rawoof & Bhat, Chandra, 2021. "Computationally efficient forecasting procedures for Kuhn-Tucker consumer demand model systems: Application to residential energy consumption analysis," Journal of choice modelling, Elsevier, vol. 39(C).
    15. Xie, Lusi & Adamowicz, Wiktor & Lloyd-Smith, Patrick, 2023. "Spatial and temporal responses to incentives: An application to wildlife disease management," Journal of Environmental Economics and Management, Elsevier, vol. 117(C).
    16. Saxena, Shobhit & Pinjari, Abdul Rawoof & Paleti, Rajesh, 2022. "A multiple discrete-continuous extreme value model with ordered preferences (MDCEV-OP): Modelling framework for episode-level activity participation and time-use analysis," Transportation Research Part B: Methodological, Elsevier, vol. 166(C), pages 259-283.
    17. Vásquez-Lavín, Felipe & Leiva, Mauricio & Campos-Requena, Nelyda, 2025. "Optimal pricing of protected areas under multiple sites demand models," Ecological Economics, Elsevier, vol. 233(C).
    18. Bhat, Chandra R. & Castro, Marisol & Pinjari, Abdul Rawoof, 2015. "Allowing for complementarity and rich substitution patterns in multiple discrete–continuous models," Transportation Research Part B: Methodological, Elsevier, vol. 81(P1), pages 59-77.

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