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Multiple-Constraint Choice Models with Corner and Interior Solutions

Author

Listed:
  • Takuya Satomura

    (Faculty of Business and Commerce, Keio University, Tokyo 108-8345, Japan)

  • Jaehwan Kim

    (Korea University Business School, Korea University, Seoul 136-701, Korea)

  • Greg M. Allenby

    (Fisher College of Business, Ohio State University, Columbus, Ohio 43210)

Abstract

A choice model based on direct utility maximization subject to an arbitrary number of constraints is developed and applied to conjoint data. The model can accommodate both corner and interior solutions, and it provides insights into the proportion of respondents bound by each constraint. Application to volumetric choice data reveals that the majority of respondents make choices consistent with price and quantity restrictions. Estimates based on a single monetary-constraint choice model are shown to lead to biased estimates of the monetary value of attribute levels.

Suggested Citation

  • Takuya Satomura & Jaehwan Kim & Greg M. Allenby, 2011. "Multiple-Constraint Choice Models with Corner and Interior Solutions," Marketing Science, INFORMS, vol. 30(3), pages 481-490, 05-06.
    • Handle: RePEc:inm:ormksc:v:30:y:2011:i:3:p:481-490
    DOI: 10.1287/mksc.1110.0636
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Allenby, Greg M., 2017. "Structural forecasts for marketing data," International Journal of Forecasting, Elsevier, vol. 33(2), pages 433-441.
    3. Pellegrini, Andrea & Pinjari, Abdul Rawoof & Maggi, Rico, 2021. "A multiple discrete continuous model of time use that accommodates non-additively separable utility functions along with time and monetary budget constraints," Transportation Research Part A: Policy and Practice, Elsevier, vol. 144(C), pages 37-53.
    4. Pradeep K. Chintagunta & Harikesh S. Nair, 2011. "Structural Workshop Paper --Discrete-Choice Models of Consumer Demand in Marketing," Marketing Science, INFORMS, vol. 30(6), pages 977-996, November.
    5. Kuriyama, Koichi & Shoji, Yasushi & Tsuge, Takahiro, 2020. "The value of leisure time of weekends and long holidays: The multiple discrete–continuous extreme value (MDCEV) choice model with triple constraints," Journal of choice modelling, Elsevier, vol. 37(C).
    6. Ludovic Stourm & Raghuram Iyengar & Eric T. Bradlow, 2020. "A Flexible Demand Model for Complements Using Household Production Theory," Marketing Science, INFORMS, vol. 39(4), pages 763-787, July.
    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. Astroza, Sebastian & Pinjari, Abdul & Bhat, Chandra & Jara-Diaz, Sergio, 2017. "A Microeconomic Theory–Based Latent Class Multiple Discrete–Continuous Choice Model of Time Use and Goods Consumption," MPRA Paper 92574, University Library of Munich, Germany.
    9. Ernan Haruvy & Peter Popkowski Leszczyc & Greg Allenby & Russell Belk & Catherine Eckel & Robert Fisher & Sherry Xin Li & John A. List & Yu Ma & Yu Wang, 2020. "Fundraising design: key issues, unifying framework, and open puzzles," Marketing Letters, Springer, vol. 31(4), pages 371-380, December.
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    11. 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.
    12. 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).
    13. Dong Soo Kim & Roger A. Bailey & Nino Hardt & Greg M. Allenby, 2017. "Benefit-Based Conjoint Analysis," Marketing Science, INFORMS, vol. 36(1), pages 54-69, January.
    14. Sanghak Lee & Sunghoon Kim & Sungho Park, 2022. "A sequential choice model for multiple discrete demand," Quantitative Marketing and Economics (QME), Springer, vol. 20(2), pages 141-178, June.
    15. Sanghak Lee & Greg M. Allenby, 2014. "Modeling Indivisible Demand," Marketing Science, INFORMS, vol. 33(3), pages 364-381, May.
    16. 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.
    17. 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.
    18. Chandra R. Bhat & Subodh K. Dubey & Mohammad Jobair Bin Alam & Waleed H. Khushefati, 2015. "A New Spatial Multiple Discrete-Continuous Modeling Approach To Land Use Change Analysis," Journal of Regional Science, Wiley Blackwell, vol. 55(5), pages 801-841, November.
    19. Mondal, Aupal & Bhat, Chandra R., 2021. "A new closed form multiple discrete-continuous extreme value (MDCEV) choice model with multiple linear constraints," Transportation Research Part B: Methodological, Elsevier, vol. 147(C), pages 42-66.
    20. Hung Tran & Tien Mai, 2023. "Network-based Representations and Dynamic Discrete Choice Models for Multiple Discrete Choice Analysis," Papers 2306.04606, arXiv.org.
    21. Kim, Youngju & Hardt, Nino & Kim, Jaehwan & Allenby, Greg M., 2022. "Conjunctive screening in models of multiple discreteness," International Journal of Research in Marketing, Elsevier, vol. 39(4), pages 1209-1234.
    22. Lee, Sanghak & Kim, Hyowon & Kim, Jaehwan & Allenby, Greg M., 2018. "A choice model for mixed decision variables," Journal of choice modelling, Elsevier, vol. 28(C), pages 82-96.

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