IDEAS home Printed from https://ideas.repec.org/a/inm/ormksc/v30y2011i3p481-490.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mksc.1110.0636
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mksc.1110.0636?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Kockelman, Kara Maria & Krishnamurthy, Sriram, 2004. "A new approach for travel demand modeling: linking Roy's Identity to discrete choice," Transportation Research Part B: Methodological, Elsevier, vol. 38(5), pages 459-475, June.
    2. David Bell & Christian Hilber, 2006. "An empirical test of the Theory of Sales: Do household storage constraints affect consumer and store behavior?," Quantitative Marketing and Economics (QME), Springer, vol. 4(2), pages 87-117, June.
    3. Elie Ofek & V. Srinivasan, 2002. "How Much Does the Market Value an Improvement in a Product Attribute?," Marketing Science, INFORMS, vol. 21(4), pages 398-411, June.
    4. Kim, Jaehwan & Allenby, Greg M. & Rossi, Peter E., 2007. "Product attributes and models of multiple discreteness," Journal of Econometrics, Elsevier, vol. 138(1), pages 208-230, May.
    5. Benjamin Hermalin & Alice Isen, 2008. "A model of the effect of affect on economic decision making," Quantitative Marketing and Economics (QME), Springer, vol. 6(1), pages 17-40, March.
    6. Moffitt, Robert, 1986. "The Econometrics of Piecewise-Linear Budget Constraints: A Survey and Exposition of the Maximum Likelihood Method," Journal of Business & Economic Statistics, American Statistical Association, vol. 4(3), pages 317-328, July.
    7. von Haefen, Roger H. & Phaneuf, Daniel J., 2003. "Estimating preferences for outdoor recreation:: a comparison of continuous and count data demand system frameworks," Journal of Environmental Economics and Management, Elsevier, vol. 45(3), pages 612-630, May.
    8. Bhat, Chandra R., 2008. "The multiple discrete-continuous extreme value (MDCEV) model: Role of utility function parameters, identification considerations, and model extensions," Transportation Research Part B: Methodological, Elsevier, vol. 42(3), pages 274-303, March.
    9. Hausman, Jerry A, 1985. "The Econometrics of Nonlinear Budget Sets," Econometrica, Econometric Society, vol. 53(6), pages 1255-1282, November.
    10. Bhat, Chandra R., 2005. "A multiple discrete-continuous extreme value model: formulation and application to discretionary time-use decisions," Transportation Research Part B: Methodological, Elsevier, vol. 39(8), pages 679-707, September.
    11. Timothy J. Gilbride & Greg M. Allenby, 2004. "A Choice Model with Conjunctive, Disjunctive, and Compensatory Screening Rules," Marketing Science, INFORMS, vol. 23(3), pages 391-406, October.
    12. Nancy E. Bockstael & Ivar E. Strand & W. Michael Hanemann, 1987. "Time and the Recreational Demand Model," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 69(2), pages 293-302.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Kim, Chul & Smith, Adam N. & Kim, Jaehwan & Allenby, Greg M., 2023. "Outside good utility and substitution patterns in direct utility models," Journal of choice modelling, Elsevier, vol. 49(C).
    3. 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.
    4. Chul Kim & Duk Bin Jun & Sungho Park, 2022. "Copula-based direct utility models for correlated choice alternatives," Quantitative Marketing and Economics (QME), Springer, vol. 20(1), pages 69-99, March.
    5. 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.
    6. 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.
    7. Bhat, Chandra R., 2018. "A new flexible multiple discrete–continuous extreme value (MDCEV) choice model," Transportation Research Part B: Methodological, Elsevier, vol. 110(C), pages 261-279.
    8. 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.
    9. 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.
    10. Wei‐Lin Wang & Demetrios Vakratsas, 2021. "The Dual Impact of Product Line Length on Consumer Choice," Production and Operations Management, Production and Operations Management Society, vol. 30(9), pages 3054-3072, September.
    11. James Agarwal & Wayne DeSarbo & Naresh K. Malhotra & Vithala Rao, 2015. "An Interdisciplinary Review of Research in Conjoint Analysis: Recent Developments and Directions for Future Research," Customer Needs and Solutions, Springer;Institute for Sustainable Innovation and Growth (iSIG), vol. 2(1), pages 19-40, March.
    12. van Soest, A.H.O. & Das, J.W.M., 2000. "Family Labor Supply and Proposed Tax Reforms in the Netherlands," Discussion Paper 2000-20, Tilburg University, Center for Economic Research.
    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. Jara-Díaz, Sergio & Rosales-Salas, Jorge, 2017. "Beyond transport time: A review of time use modeling," Transportation Research Part A: Policy and Practice, Elsevier, vol. 97(C), pages 209-230.
    15. Xiaodong Gong & Arthur van Soest, 2002. "Family Structure and Female Labor Supply in Mexico City," Journal of Human Resources, University of Wisconsin Press, vol. 37(1), pages 163-191.
    16. Ye, Xin & Garikapati, Venu M. & You, Daehyun & Pendyala, Ram M., 2017. "A practical method to test the validity of the standard Gumbel distribution in logit-based multinomial choice models of travel behavior," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 173-192.
    17. Ozonder, Gozde & Miller, Eric J., 2021. "Longitudinal investigation of skeletal activity episode timing decisions – A copula approach," Journal of choice modelling, Elsevier, vol. 40(C).
    18. Shasha Liu & Toshiyuki Yamamoto & Enjian Yao, 2023. "Joint modeling of mode choice and travel distance with intra-household interactions," Transportation, Springer, vol. 50(5), pages 1527-1552, October.
    19. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ormksc:v:30:y:2011:i:3:p:481-490. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.