A multiple discrete-continuous extreme value model: formulation and application to discretionary time-use decisions
Several consumer demand choices are characterized by the choice of multiple alternatives simultaneously. An example of such a choice situation in activity-travel analysis is the type of discretionary (or leisure) activity to participate in and the duration of time investment of the participation. In this context, within a given temporal period (say a day or a week), an individual may decide to participate in multiple types of activities (for example, in-home social activities, out-of-home social activities, in-home recreational activities, out-of-home recreational activities, and out-of-home non-maintenance shopping activities). In this paper, we derive and formulate a utility theory-based model for discrete/continuous choice that assumes diminishing marginal utility as the level of consumption of any particular alternative increases (i.e., satiation). This assumption yields a multiple discreteness model (i.e., choice of multiple alternatives can occur simultaneously). This is in contrast to the standard discrete choice model that is based on assuming the absence of any diminishing marginal utility as the level of consumption of any alternative increases (i.e., no satiation), leading to the case of strictly single discreteness. The econometric model formulated here, which we refer to as the multiple discrete-continuous extreme value (MDCEV) model, has a surprisingly simple and elegant closed form expression for the discrete-continuous probability of not consuming certain alternatives and consuming given levels of the remaining alternatives. To our knowledge, we are the first to develop such a simple and powerful closed-form model for multiple discreteness in the literature. This formulation should constitute an important milestone in the area of multiple discreteness, just as the multinomial logit (MNL) represented an important milestone in the area of single discreteness. Further, the MDCEV model formulated here has the appealing property that it collapses to the familiar multinomial logit (MNL) choice model in the case of single discreteness. Finally, heteroscedasticity and/or correlation in unobserved characteristics affecting the demand of different alternatives can be easily incorporated within the MDCEV model framework using a mixing approach. The MDCEV model and its mixed variant are applied to analyze time-use allocation decisions among a variety of discretionary activities on weekends using data from the 2000 San Francisco Bay Area survey.
Volume (Year): 39 (2005)
Issue (Month): 8 (September)
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- Hanemann, W Michael, 1984. "Discrete-Continuous Models of Consumer Demand," Econometrica, Econometric Society, vol. 52(3), pages 541-561, May.
- Chandra Bhat & Rajul Misra, 1999. "Discretionary activity time allocation of individuals between in-home and out-of-home and between weekdays and weekends," Transportation, Springer, vol. 26(2), pages 193-229, May.
- Lee, Lung-Fei, 1992.
"On Efficiency of Methods of Simulated Moments and Maximum Simulated Likelihood Estimation of Discrete Response Models,"
Cambridge University Press, vol. 8(04), pages 518-552, December.
- Lee, L-F., 1990. "On Efficiency of Methods of Simulated Moments and Maximum Simulated Likelihood Estimation of Discrete Response Models," Papers 260, Minnesota - Center for Economic Research.
- Gary S. Becker, 1981. "A Treatise on the Family," NBER Books, National Bureau of Economic Research, Inc, number beck81-1.
- Sergio Jara-Díaz, 2003. "On the goods-activities technical relations in the time allocation theory," Transportation, Springer, vol. 30(3), pages 245-260, August.
- Dubin, Jeffrey A & McFadden, Daniel L, 1984. "An Econometric Analysis of Residential Electric Appliance Holdings and Consumption," Econometrica, Econometric Society, vol. 52(2), pages 345-362, March.
- Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521766555, November.
- Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521747387, Diciembre.
- Kenneth Train, 2003. "Discrete Choice Methods with Simulation," Online economics textbooks, SUNY-Oswego, Department of Economics, number emetr2.
- Neeraj Arora & Greg M. Allenby & James L. Ginter, 1998. "A Hierarchical Bayes Model of Primary and Secondary Demand," Marketing Science, INFORMS, vol. 17(1), pages 29-44.
- D Damm & S R Lerman, 1981. "A Theory of Activity Scheduling Behavior," Environment and Planning A, , vol. 13(6), pages 703-718, June.
- Bhat, Chandra R. & Gossen, Rachel, 2004. "A mixed multinomial logit model analysis of weekend recreational episode type choice," Transportation Research Part B: Methodological, Elsevier, vol. 38(9), pages 767-787, November.
- Igal Hendel, 1999. "Estimating Multiple-Discrete Choice Models: An Application to Computerization Returns," Review of Economic Studies, Oxford University Press, vol. 66(2), pages 423-446.
- Sergio R. Jara-Diaz & Cristián A. Guevara, 2003. "Behind the Subjective Value of Travel Time Savings," Journal of Transport Economics and Policy, University of Bath, vol. 37(1), pages 29-46, January.
- Juster, F. Thomas, 1990. "Rethinking utility theory," Journal of Behavioral Economics, Elsevier, vol. 19(2), pages 155-179.
- I. Meloni & L. Guala & A. Loddo, 2004. "Time allocation to discretionary in-home, out-of-home activities and to trips," Transportation, Springer, vol. 31(1), pages 69-96, February.
- Munshi, Kaivan, 1993. "Urban passenger travel demand estimation: A household activity approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 27(6), pages 423-432, November.
- Terza, Joseph V & Wilson, Paul W, 1990. "Analyzing Frequencies of Several Types of Events: A Mixed Multinomial-Poisson Approach," The Review of Economics and Statistics, MIT Press, vol. 72(1), pages 108-115, February.
- Bhat, Chandra R., 2003. "Simulation estimation of mixed discrete choice models using randomized and scrambled Halton sequences," Transportation Research Part B: Methodological, Elsevier, vol. 37(9), pages 837-855, November.
- Lu, Xuedong & Pas, Eric I., 1999. "Socio-demographics, activity participation and travel behavior," Transportation Research Part A: Policy and Practice, Elsevier, vol. 33(1), pages 1-18, January.
- Ram Pendyala & Konstadinos Goulias, 2002. "Time use and activity perspectives in travel behavior research," Transportation, Springer, vol. 29(1), pages 1-4, February.
- D Damm & S R Lerman, 1981. "A theory of activity scheduling behavior," Environment and Planning A, Pion Ltd, London, vol. 13(6), pages 703-718, June.
- Bhat, Chandra & Lockwood, Allison, 2004. "On distinguishing between physically active and physically passive episodes and between travel and activity episodes: an analysis of weekend recreational participation in the San Francisco Bay area," Transportation Research Part A: Policy and Practice, Elsevier, vol. 38(8), pages 573-592, October.
- Toshiyuki Yamamoto & Ryuichi Kitamura, 1999. "An analysis of time allocation to in-home and out-of-home discretionary activities across working days and non- working days," Transportation, Springer, vol. 26(2), pages 231-250, May.
- Jean-Pierre Dubé, 2004. "Multiple Discreteness and Product Differentiation: Demand for Carbonated Soft Drinks," Marketing Science, INFORMS, vol. 23(1), pages 66-81, September.
- Puneet Manchanda & Asim Ansari & Sunil Gupta, 1999. "The “Shopping Basket”: A Model for Multicategory Purchase Incidence Decisions," Marketing Science, INFORMS, vol. 18(2), pages 95-114.
- Baltas, George, 2004. "A model for multiple brand choice," European Journal of Operational Research, Elsevier, vol. 154(1), pages 144-149, April.
- Gramm, Wendy Lee, 1975. "Household Utility Maximization and the Working Wife," American Economic Review, American Economic Association, vol. 65(1), pages 90-100, March.
- Jaehwan Kim & Greg M. Allenby & Peter E. Rossi, 2002. "Modeling Consumer Demand for Variety," Marketing Science, INFORMS, vol. 21(3), pages 229-250, December.
- John W. Walsh, 1995. "Flexibility in Consumer Purchasing for Uncertain Future Tastes," Marketing Science, INFORMS, vol. 14(2), pages 148-165.
- Daniel McFadden & Kenneth Train, 2000. "Mixed MNL models for discrete response," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(5), pages 447-470.
- Chandra Bhat & Frank Koppelman, 1999. "A retrospective and prospective survey of time-use research," Transportation, Springer, vol. 26(2), pages 119-139, May.
- Bhat, Chandra R., 1998. "A model of post home-arrival activity participation behavior," Transportation Research Part B: Methodological, Elsevier, vol. 32(6), pages 387-400, August.
- Pradeep K. Chintagunta, 1993. "Investigating Purchase Incidence, Brand Choice and Purchase Quantity Decisions of Households," Marketing Science, INFORMS, vol. 12(2), pages 184-208. Full references (including those not matched with items on IDEAS)
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