IDEAS home Printed from https://ideas.repec.org/a/bla/jecrev/v69y2018i3p306-323.html
   My bibliography  Save this article

Identification of Dynamic Models of Rewards Programme

Author

Listed:
  • Andrew T. Ching
  • Masakazu Ishihara

Abstract

“Frequent‐buyer” rewards programmes are commonly used by companies as a marketing tool to compete for market share. They provide a unique environment for studying consumers’ forward‐looking behaviour. The consumer's problem on accumulating reward points can be formulated as a stationary infinite horizon discrete choice dynamic programming model. We show that the parameters of this model, including the discount factor, are well‐identified. In particular, it is possible to identify state‐dependent discount factors (i.e. discount factors can vary with the number of reward points). We discuss how this identification result is related to the goal‐gradient hypothesis studied in the consumer psychology literature.

Suggested Citation

  • Andrew T. Ching & Masakazu Ishihara, 2018. "Identification of Dynamic Models of Rewards Programme," The Japanese Economic Review, Japanese Economic Association, vol. 69(3), pages 306-323, September.
    • Handle: RePEc:bla:jecrev:v:69:y:2018:i:3:p:306-323
    DOI: 10.1111/jere.12188
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/jere.12188
    Download Restriction: no
    File URL: https://libkey.io/10.1111/jere.12188?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Ramon Caminal, 2012. "The Design and Efficiency of Loyalty Rewards," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 21(2), pages 339-371, June.
    2. Rust, John, 1987. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," Econometrica, Econometric Society, vol. 55(5), pages 999-1033, September.
    3. Wesley Hartmann & V. Viard, 2008. "Do frequency reward programs create switching costs? A dynamic structural analysis of demand in a reward program," Quantitative Marketing and Economics (QME), Springer, vol. 6(2), pages 109-137, June.
    4. Byung-Do Kim & Mengze Shi & Kannan Srinivasan, 2001. "Reward Programs and Tacit Collusion," Marketing Science, INFORMS, vol. 20(2), pages 99-120, June.
    5. Caminal, Ramon & Claici, Adina, 2007. "Are loyalty-rewarding pricing schemes anti-competitive?," International Journal of Industrial Organization, Elsevier, vol. 25(4), pages 657-674, August.
    6. Thierry Magnac & David Thesmar, 2002. "Identifying Dynamic Discrete Decision Processes," Econometrica, Econometric Society, vol. 70(2), pages 801-816, March.
    7. V. Joseph Hotz & Robert A. Miller, 1993. "Conditional Choice Probabilities and the Estimation of Dynamic Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 497-529.
    8. Aguirregabiria, Victor & Mira, Pedro, 2010. "Dynamic discrete choice structural models: A survey," Journal of Econometrics, Elsevier, vol. 156(1), pages 38-67, May.
    9. Andrew Ching & Susumu Imai & Masakazu Ishihara & Neelam Jain, 2012. "A practitioner’s guide to Bayesian estimation of discrete choice dynamic programming models," Quantitative Marketing and Economics (QME), Springer, vol. 10(2), pages 151-196, June.
    10. Jean-Pierre Dubé & Günter Hitsch & Pranav Jindal, 2014. "The Joint identification of utility and discount functions from stated choice data: An application to durable goods adoption," Quantitative Marketing and Economics (QME), Springer, vol. 12(4), pages 331-377, December.
    11. Rajiv Lal & David Bell, 2003. "The Impact of Frequent Shopper Programs in Grocery Retailing," Quantitative Marketing and Economics (QME), Springer, vol. 1(2), pages 179-202, June.
    12. Judith Chevalier & Austan Goolsbee, 2009. "Are Durable Goods Consumers Forward-Looking? Evidence from College Textbooks," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(4), pages 1853-1884.
    13. Els Breugelmans & Tammo Bijmolt & Jie Zhang & Leonardo Basso & Matilda Dorotic & Praveen Kopalle & Alec Minnema & Willem Mijnlieff & Nancy Wünderlich, 2015. "Advancing research on loyalty programs: a future research agenda," Marketing Letters, Springer, vol. 26(2), pages 127-139, June.
    14. Ran Kivetz & Oleg Urminsky & Yuhuang Zheng, 2006. "The Goal-Gradient Hypothesis Resurrected: Purchase Acceleration, Illusionary Goal Progress, and Customer Retention," Natural Field Experiments 00658, The Field Experiments Website.
    15. Robin S. Lee, 2013. "Vertical Integration and Exclusivity in Platform and Two-Sided Markets," American Economic Review, American Economic Association, vol. 103(7), pages 2960-3000, December.
    16. Andrew T. Ching & Tülin Erdem & Michael P. Keane, 2013. "Invited Paper ---Learning Models: An Assessment of Progress, Challenges, and New Developments," Marketing Science, INFORMS, vol. 32(6), pages 913-938, November.
    17. Hanming Fang & Yang Wang, 2015. "Estimating Dynamic Discrete Choice Models With Hyperbolic Discounting, With An Application To Mammography Decisions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 56, pages 565-596, May.
    18. Yanwen Wang & Michael Lewis & Cynthia Cryder & Jim Sprigg, 2016. "Enduring Effects of Goal Achievement and Failure Within Customer Loyalty Programs: A Large-Scale Field Experiment," Marketing Science, INFORMS, vol. 35(4), pages 565-575, July.
    19. Louro, M.J.S. & Pieters, R. & Zeelenberg, M., 2007. "Dynamics of multiple goal pursuit," Other publications TiSEM fcfc1f8f-6eae-41bb-af23-0, Tilburg University, School of Economics and Management.
    20. Andrew T. Ching & Tülin Erdem & Michael P. Keane, 2013. "Learning Models: An Assessment of Progress, Challenges and New Developments," Economics Papers 2013-W07, Economics Group, Nuffield College, University of Oxford.
    21. Yongmin Chen & Jason Pearcy, 2010. "Dynamic pricing: when to entice brand switching and when to reward consumer loyalty," RAND Journal of Economics, RAND Corporation, vol. 41(4), pages 674-685, December.
    22. Yuk‐fai Fong & Qihong Liu, 2011. "Loyalty Rewards Facilitate Tacit Collusion," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 20(3), pages 739-775, September.
    23. Praveen K. Kopalle & Yacheng Sun & Scott A. Neslin & Baohong Sun & Vanitha Swaminathan, 2012. "The Joint Sales Impact of Frequency Reward and Customer Tier Components of Loyalty Programs," Marketing Science, INFORMS, vol. 31(2), pages 216-235, March.
    24. Mariano,Roberto & Schuermann,Til & Weeks,Melvyn J. (ed.), 2000. "Simulation-based Inference in Econometrics," Cambridge Books, Cambridge University Press, number 9780521591126, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Masakazu Ishihara & Andrew T. Ching, 2019. "Dynamic Demand for New and Used Durable Goods Without Physical Depreciation: The Case of Japanese Video Games," Marketing Science, INFORMS, vol. 38(3), pages 392-416, May.
    2. Andrew T. Ching & Matthew Osborne, 2020. "Identification and Estimation of Forward-Looking Behavior: The Case of Consumer Stockpiling," Marketing Science, INFORMS, vol. 39(4), pages 707-726, July.
    3. Andrew Ching & Susumu Imai & Masakazu Ishihara & Neelam Jain, 2012. "A practitioner’s guide to Bayesian estimation of discrete choice dynamic programming models," Quantitative Marketing and Economics (QME), Springer, vol. 10(2), pages 151-196, June.
    4. Shuo Zhang & Tat Y. Chan & Xueming Luo & Xiaoyi Wang, 2022. "Time-Inconsistent Preferences and Strategic Self-Control in Digital Content Consumption," Marketing Science, INFORMS, vol. 41(3), pages 616-636, May.

    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. Andrew T. Ching & Matthew Osborne, 2020. "Identification and Estimation of Forward-Looking Behavior: The Case of Consumer Stockpiling," Marketing Science, INFORMS, vol. 39(4), pages 707-726, July.
    2. Jaap H. Abbring & Øystein Daljord, 2020. "A Comment On “Estimating Dynamic Discrete Choice Models With Hyperbolic Discounting” By Hanming Fang And Yang Wang," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(2), pages 565-571, May.
    3. Ramon Caminal, 2022. "Time‐Limited Loyalty Rewards," Journal of Industrial Economics, Wiley Blackwell, vol. 70(4), pages 962-998, December.
    4. Alina Nastasoiu & Neil T. Bendle & Charan K. Bagga & Mark Vandenbosch & Salvador Navarro, 2021. "Separating customer heterogeneity, points pressure and rewarded behavior to assess a retail loyalty program," Journal of the Academy of Marketing Science, Springer, vol. 49(6), pages 1132-1150, November.
    5. Bies, Suzanne M.T.A. & Bronnenberg, Bart J. & Gijsbrechts, Els, 2021. "How push messaging impacts consumer spending and reward redemption in store-loyalty programs," International Journal of Research in Marketing, Elsevier, vol. 38(4), pages 877-899.
    6. Bies, Suzanne, 2022. "Examining the effectiveness of activation techniques on consumer behavior in temporary loyalty programs," Other publications TiSEM ade86df3-4846-4318-938f-a, Tilburg University, School of Economics and Management.
    7. Bazargan, Amirhossein & Karray, Salma & Zolfaghari, Saeed, 2017. "Modeling reward expiry for loyalty programs in a competitive market," International Journal of Production Economics, Elsevier, vol. 193(C), pages 352-364.
    8. Masakazu Ishihara & Andrew T. Ching, 2019. "Dynamic Demand for New and Used Durable Goods Without Physical Depreciation: The Case of Japanese Video Games," Marketing Science, INFORMS, vol. 38(3), pages 392-416, May.
    9. Dorotic, Matilda & Verhoef, Peter C. & Fok, Dennis & Bijmolt, Tammo H.A., 2014. "Reward redemption effects in a loyalty program when customers choose how much and when to redeem," International Journal of Research in Marketing, Elsevier, vol. 31(4), pages 339-355.
    10. Chen, Yanyan & Mandler, Timo & Meyer-Waarden, Lars, 2021. "Three decades of research on loyalty programs: A literature review and future research agenda," Journal of Business Research, Elsevier, vol. 124(C), pages 179-197.
    11. Amoroso, S., 2013. "Heterogeneity of innovative, collaborative, and productive firm-level processes," Other publications TiSEM f5784a49-7053-401d-855d-1, Tilburg University, School of Economics and Management.
    12. Sara Amoroso, 2014. "The hidden costs of R&D collaboration," JRC Working Papers on Corporate R&D and Innovation 2014-02, Joint Research Centre.
    13. A. Yeşim Orhun & Tong Guo & Andreas Hagemann, 2022. "Reaching for Gold: Frequent-Flyer Status Incentives and Moral Hazard," Marketing Science, INFORMS, vol. 41(3), pages 548-574, May.
    14. A. Ronald Gallant & Han Hong & Ahmed Khwaja, 2018. "The Dynamic Spillovers of Entry: An Application to the Generic Drug Industry," Management Science, INFORMS, vol. 64(3), pages 1189-1211, March.
    15. Ramon Caminal, 2009. "The design and efficiency of loyalty rewards," Working Papers 408, Barcelona School of Economics.
    16. Ramon Caminal, 2012. "The Design and Efficiency of Loyalty Rewards," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 21(2), pages 339-371, June.
    17. Jason R. Blevins & Wei Shi & Donald R. Haurin & Stephanie Moulton, 2020. "A Dynamic Discrete Choice Model Of Reverse Mortgage Borrower Behavior," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(4), pages 1437-1477, November.
    18. Jaap H. Abbring & Øystein Daljord, 2020. "Identifying the discount factor in dynamic discrete choice models," Quantitative Economics, Econometric Society, vol. 11(2), pages 471-501, May.
    19. Pennesi, Daniele, 2021. "Intertemporal discrete choice," Journal of Economic Behavior & Organization, Elsevier, vol. 186(C), pages 690-706.
    20. Doug J. Chung & Byungyeon Kim & Byoung G. Park, 2021. "The Comprehensive Effects of Sales Force Management: A Dynamic Structural Analysis of Selection, Compensation, and Training," Management Science, INFORMS, vol. 67(11), pages 7046-7074, November.

    More about this item

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • M31 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Marketing and Advertising - - - Marketing

    Statistics

    Access and download statistics

    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:bla:jecrev:v:69:y:2018:i:3:p:306-323. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/jeaaaea.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.