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Everything in Moderation: Foundations and Applications of the Satiation Model

Author

Listed:
  • Manel Baucells

    (Darden School of Business, University of Virginia, Charlottesville, Virginia 22903)

  • Lin Zhao

    (Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China)

Abstract
Models in which current utility depends solely on current consumption (a.k.a. time-separable preferences) are widely acknowledged to be unrealistic, especially when attempting to describe preferences over consumption rates. Alternatively, one may stipulate that instant utility also depends on a state, for example, some stock of past consumption. Escaping the gravitational pull of time separability, however, is difficult because (1) the behavioral axioms that characterize the state and the instant utility are not known, (2) how to elicit the preference parameters—most notably the initial level of the state and the decay rate—is not known, and (3) managerial applications where state-dependent preferences produce interesting insights and solutions are scarce. This paper makes advances on these three fronts by proposing a novel set of axioms that characterize the satiation model, a proof of concept on how to elicit all preference parameters using consumption rates, and a mixed-integer linear formulation to solve the optimal design of experiential services under satiation. Our preferences introduce a de-satiation motive, absent in separable preferences, and we explore how to optimally manage this motive.

Suggested Citation

  • Manel Baucells & Lin Zhao, 2020. "Everything in Moderation: Foundations and Applications of the Satiation Model," Management Science, INFORMS, vol. 66(12), pages 5701-5719, December.
    • Handle: RePEc:inm:ormnsc:v:66:y:12:i:2020:p:5701-5719
    DOI: 10.1287/mnsc.2019.3505
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    References listed on IDEAS

    as
    1. Manel Baucells & Lin Zhao, 2019. "It Is Time to Get Some Rest," Management Science, INFORMS, vol. 65(4), pages 1717-1734, April.
    2. Ying He & James S. Dyer & John C. Butler, 2013. "On the Axiomatization of the Satiation and Habit Formation Utility Models," Operations Research, INFORMS, vol. 61(6), pages 1399-1410, December.
    3. Michael J. Dixon & Gary M. Thompson, 2016. "Bundling and Scheduling Service Packages with Customer Behavior: Model and Heuristic," Production and Operations Management, Production and Operations Management Society, vol. 25(1), pages 36-55, January.
    4. Manel Baucells & Rakesh K. Sarin, 2010. "Predicting Utility Under Satiation and Habit Formation," Management Science, INFORMS, vol. 56(2), pages 286-301, February.
    5. Kareen Rozen, 2010. "Foundations of Intrinsic Habit Formation," Econometrica, Econometric Society, vol. 78(4), pages 1341-1373, July.
    6. Aparupa Das Gupta & Uday S. Karmarkar & Guillaume Roels, 2016. "The Design of Experiential Services with Acclimation and Memory Decay: Optimal Sequence and Duration," Management Science, INFORMS, vol. 62(5), pages 1278-1296, May.
    7. repec:bla:kyklos:v:45:y:1992:i:3:p:327-45 is not listed on IDEAS
    8. Chateauneuf, Alain & Wakker, Peter, 1993. "From local to global additive representation," Journal of Mathematical Economics, Elsevier, vol. 22(6), pages 523-545.
    9. Sundaresan, Suresh M, 1989. "Intertemporally Dependent Preferences and the Volatility of Consumption and Wealth," The Review of Financial Studies, Society for Financial Studies, vol. 2(1), pages 73-89.
    10. Bank, Peter & Riedel, Frank, 2000. "Non-time additive utility optimization--the case of certainty," Journal of Mathematical Economics, Elsevier, vol. 33(3), pages 271-290, April.
    11. Gary S. Becker, 1992. "Habits, Addictions, and Traditions," Kyklos, Wiley Blackwell, vol. 45(3), pages 327-345, August.
    12. Daniel Kahneman & Peter P. Wakker & Rakesh Sarin, 1997. "Back to Bentham? Explorations of Experienced Utility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 375-406.
    13. Hindy, Ayman & Huang, Chi-fu & Kreps, David, 1992. "On intertemporal preferences in continuous time : The case of certainty," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 401-440.
    14. Manel Baucells & Rakesh K. Sarin, 2007. "Satiation in Discounted Utility," Operations Research, INFORMS, vol. 55(1), pages 170-181, February.
    15. Arthur E. Attema & Han Bleichrodt & Yu Gao & Zhenxing Huang & Peter P. Wakker, 2016. "Measuring Discounting without Measuring Utility," American Economic Review, American Economic Association, vol. 106(6), pages 1476-1494, June.
    16. Kopylov, Igor, 2010. "Simple axioms for countably additive subjective probability," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 867-876, September.
    17. Ratner, Rebecca K & Kahn, Barbara E & Kahneman, Daniel, 1999. "Choosing Less-Preferred Experiences for the Sake of Variety," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 26(1), pages 1-15, June.
    18. Hindy, Ayman & Huang, Chi-fu, 1992. "Intertemporal Preferences for Uncertain Consumption: A Continuous Time Approach," Econometrica, Econometric Society, vol. 60(4), pages 781-801, July.
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