IDEAS home Printed from https://ideas.repec.org/a/eee/jomega/v91y2020ics030504831730717x.html
   My bibliography  Save this article

Durable goods pricing with reference price effects

Author

Listed:
  • Zhang, Jie
  • Chiang, Wei-yu Kevin

Abstract

A price benchmark shaped by consumers on the basis of their perception of past prices is known as a reference price. Behavioral decision research suggests that consumers are likely to be backward-looking in that they make purchase decisions based not only on the current price but also on the reference price. It is evident that the reference price effect, which has significant impact on consumer demand, exists for both consumables and durables. Yet, how this effect works has only been investigated in relation to the pricing of consumables, and thus the corresponding results are unable to yield normative implications for durable goods pricing where the saturation effect must enter the picture. This study aims to provide marketers of durables with relevant insights that can be practically used to guide their design of pricing strategies in the presence of the reference price effect. Specifically, we develop a dynamic pricing model which incorporates both the reference price effect and the saturation effect into a framework to broaden our understanding on the durable goods pricing problem. As the internet technology and social media have enhanced consumers’ ability to recall and compare past prices, the need for such a pricing model with backward-looking consumer behavior is increasingly compelling. Our results indicate that while it is optimal for a myopic seller to adopt the skimming pricing strategy, either the price skimming strategy or the penetration strategy is optimal for a forward-looking seller, contingent on the potential market and consumers’ reference price effects.

Suggested Citation

  • Zhang, Jie & Chiang, Wei-yu Kevin, 2020. "Durable goods pricing with reference price effects," Omega, Elsevier, vol. 91(C).
  • Handle: RePEc:eee:jomega:v:91:y:2020:i:c:s030504831730717x
    DOI: 10.1016/j.omega.2018.12.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S030504831730717X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.omega.2018.12.007?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Chakravarthi Narasimhan, 1989. "Incorporating Consumer Price Expectations in Diffusion Models," Marketing Science, INFORMS, vol. 8(4), pages 343-357.
    2. Zhang, Jie & Kevin Chiang, Wei–yu & Liang, Liang, 2014. "Strategic pricing with reference effects in a competitive supply chain," Omega, Elsevier, vol. 44(C), pages 126-135.
    3. Botond Kőszegi & Matthew Rabin, 2006. "A Model of Reference-Dependent Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1133-1165.
    4. Amos Tversky & Daniel Kahneman, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 1039-1061.
    5. Zhang, Juan & Gou, Qinglong & Liang, Liang & Huang, Zhimin, 2013. "Supply chain coordination through cooperative advertising with reference price effect," Omega, Elsevier, vol. 41(2), pages 345-353.
    6. Zhenyu Hu & Xin Chen & Peng Hu, 2016. "Technical Note—Dynamic Pricing with Gain-Seeking Reference Price Effects," Operations Research, INFORMS, vol. 64(1), pages 150-157, February.
    7. Ju-Young Kim & Katharina Kaufmann & Manuel Stegemann, 2014. "The impact of buyer–seller relationships and reference prices on the effectiveness of the pay what you want pricing mechanism," Marketing Letters, Springer, vol. 25(4), pages 409-423, December.
    8. Shlomo Kalish, 1983. "Monopolist Pricing with Dynamic Demand and Production Cost," Marketing Science, INFORMS, vol. 2(2), pages 135-159.
    9. Eric A. Greenleaf, 1995. "The Impact of Reference Price Effects on the Profitability of Price Promotions," Marketing Science, INFORMS, vol. 14(1), pages 82-104.
    10. Jie Xu & Nan Liu, 2017. "Erratum to: Research on closed loop supply chain with reference price effect," Journal of Intelligent Manufacturing, Springer, vol. 28(1), pages 65-67, January.
    11. Javad Nasiry & Ioana Popescu, 2011. "Dynamic Pricing with Loss-Averse Consumers and Peak-End Anchoring," Operations Research, INFORMS, vol. 59(6), pages 1361-1368, December.
    12. David Besanko & Wayne L. Winston, 1990. "Optimal Price Skimming by a Monopolist Facing Rational Consumers," Management Science, INFORMS, vol. 36(5), pages 555-567, May.
    13. Yossi Aviv & Amit Pazgal, 2008. "Optimal Pricing of Seasonal Products in the Presence of Forward-Looking Consumers," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 339-359, December.
    14. Chrysanthos Dellarocas & Zsolt Katona & William Rand, 2013. "Media, Aggregators, and the Link Economy: Strategic Hyperlink Formation in Content Networks," Management Science, INFORMS, vol. 59(10), pages 2360-2379, October.
    15. Gurumurthy Kalyanaram & Russell S. Winer, 1995. "Empirical Generalizations from Reference Price Research," Marketing Science, INFORMS, vol. 14(3_supplem), pages 161-169.
    16. Ioana Popescu & Yaozhong Wu, 2007. "Dynamic Pricing Strategies with Reference Effects," Operations Research, INFORMS, vol. 55(3), pages 413-429, June.
    17. Xin Chen & Peng Hu & Stephen Shum & Yuhan Zhang, 2016. "Dynamic Stochastic Inventory Management with Reference Price Effects," Operations Research, INFORMS, vol. 64(6), pages 1529-1536, December.
    18. Subramanian Balachander & Kannan Srinivasan, 1998. "Modifying Customer Expectations of Price Decreases for a Durable Product," Management Science, INFORMS, vol. 44(6), pages 776-786, June.
    19. Kalyan Raman & Rabikar Chatterjee, 1995. "Optimal Monopolist Pricing Under Demand Uncertainty in Dynamic Markets," Management Science, INFORMS, vol. 41(1), pages 144-162, January.
    20. Jain, Dipak C & Rao, Ram C, 1990. "Effect of Price on the Demand for Durables: Modeling, Estimation, and Findings," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 163-170, April.
    21. David R. Bell & James M. Lattin, 2000. "Looking for Loss Aversion in Scanner Panel Data: The Confounding Effect of Price Response Heterogeneity," Marketing Science, INFORMS, vol. 19(2), pages 185-200, May.
    22. Winer, Russell S, 1986. "A Reference Price Model of Brand Choice for Frequently Purchased Products," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 13(2), pages 250-256, September.
    23. Wedad Elmaghraby & P{i}nar Keskinocak, 2003. "Dynamic Pricing in the Presence of Inventory Considerations: Research Overview, Current Practices, and Future Directions," Management Science, INFORMS, vol. 49(10), pages 1287-1309, October.
    24. Pradeep K. Chintagunta & Dipak Jain, 1992. "A Dynamic Model of Channel Member Strategies for Marketing Expenditures," Marketing Science, INFORMS, vol. 11(2), pages 168-188.
    25. Ramesh Sankaranarayanan, 2007. "Innovation and the Durable Goods Monopolist: The Optimality of Frequent New-Version Releases," Marketing Science, INFORMS, vol. 26(6), pages 774-791, 11-12.
    26. Vijay Mahajan & Robert A. Peterson, 1978. "Innovation Diffusion in a Dynamic Potential Adopter Population," Management Science, INFORMS, vol. 24(15), pages 1589-1597, November.
    27. Fuxiao Lu & Guowei Liu & Jianxiong Zhang & Wansheng Tang, 2016. "Benefits of partial myopia in a durable product supply chain considering pricing and advertising," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(10), pages 1309-1324, October.
    28. Therese Flaherty, M., 1980. "Dynamic limit pricing, barriers to entry, and rational firms," Journal of Economic Theory, Elsevier, vol. 23(2), pages 160-182, October.
    29. Engelbert Dockner & Steffen Jørgensen, 1988. "Optimal Pricing Strategies for New Products in Dynamic Oligopolies," Marketing Science, INFORMS, vol. 7(4), pages 315-334.
    30. Dan Horsky, 1990. "A Diffusion Model Incorporating Product Benefits, Price, Income and Information," Marketing Science, INFORMS, vol. 9(4), pages 342-365.
    31. Li, Ruihai & Teng, Jinn-Tsair, 2018. "Pricing and lot-sizing decisions for perishable goods when demand depends on selling price, reference price, product freshness, and displayed stocks," European Journal of Operational Research, Elsevier, vol. 270(3), pages 1099-1108.
    32. Gabriel Bitran & René Caldentey, 2003. "An Overview of Pricing Models for Revenue Management," Manufacturing & Service Operations Management, INFORMS, vol. 5(3), pages 203-229, August.
    33. Krishnamurthi, Lakshman & Mazumdar, Tridib & Raj, S P, 1992. "Asymmetric Response to Price in Consumer Brand Choice and Purchase Quantity Decisions," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 19(3), pages 387-400, December.
    34. Daniel S. Putler, 1992. "Incorporating Reference Price Effects into a Theory of Consumer Choice," Marketing Science, INFORMS, vol. 11(3), pages 287-309.
    35. Russell S. Winer, 1985. "Technical Note—A Price Vector Model of Demand for Consumer Durables: Preliminary Developments," Marketing Science, INFORMS, vol. 4(1), pages 74-90.
    36. Bulow, Jeremy I, 1982. "Durable-Goods Monopolists," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 314-332, April.
    37. Frank M. Bass & Alain V. Bultez, 1982. "Technical Note—A Note on Optimal Strategic Pricing of Technological Innovations," Marketing Science, INFORMS, vol. 1(4), pages 371-378.
    38. Bass, Frank M, 1980. "The Relationship between Diffusion Rates, Experience Curves, and Demand Elasticities for Consumer Durable Technological Innovations," The Journal of Business, University of Chicago Press, vol. 53(3), pages 51-67, July.
    39. Nancy L. Stokey, 1981. "Rational Expectations and Durable Goods Pricing," Bell Journal of Economics, The RAND Corporation, vol. 12(1), pages 112-128, Spring.
    40. Gadi Fibich & Arieh Gavious & Oded Lowengart, 2003. "Explicit Solutions of Optimization Models and Differential Games with Nonsmooth (Asymmetric) Reference-Price Effects," Operations Research, INFORMS, vol. 51(5), pages 721-734, October.
    41. Jie Xu & Nan Liu, 2017. "Research on closed loop supply chain with reference price effect," Journal of Intelligent Manufacturing, Springer, vol. 28(1), pages 51-64, January.
    42. Praveen K. Kopalle & Ambar G. Rao & João L. Assunção, 1996. "Asymmetric Reference Price Effects and Dynamic Pricing Policies," Marketing Science, INFORMS, vol. 15(1), pages 60-85.
    43. Coase, Ronald H, 1972. "Durability and Monopoly," Journal of Law and Economics, University of Chicago Press, vol. 15(1), pages 143-149, April.
    44. Wei-yu Kevin Chiang, 2012. "Supply Chain Dynamics and Channel Efficiency in Durable Product Pricing and Distribution," Manufacturing & Service Operations Management, INFORMS, vol. 14(2), pages 327-343, April.
    45. Shlomo Kalish, 1985. "A New Product Adoption Model with Price, Advertising, and Uncertainty," Management Science, INFORMS, vol. 31(12), pages 1569-1585, December.
    46. Bruce Robinson & Chet Lakhani, 1975. "Dynamic Price Models for New-Product Planning," Management Science, INFORMS, vol. 21(10), pages 1113-1122, June.
    47. Jinhong Xie & Marvin Sirbu, 1995. "Price Competition and Compatibility in the Presence of Positive Demand Externalities," Management Science, INFORMS, vol. 41(5), pages 909-926, May.
    48. Jeffrey Shulman & Anne Coughlan, 2007. "Used goods, not used bads: Profitable secondary market sales for a durable goods channel," Quantitative Marketing and Economics (QME), Springer, vol. 5(2), pages 191-210, June.
    49. Nancy L. Stokey, 1979. "Intertemporal Price Discrimination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 355-371.
    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. Li, Yanan & Li, Xiang & Zhang, Sicheng, 2021. "Optimal pricing of customized bus services and ride-sharing based on a competitive game model," Omega, Elsevier, vol. 103(C).
    2. Sun, Libo & Jiao, Xiaoting & Guo, Xiaolong & Yu, Yugang, 2022. "Pricing policies in dual distribution channels: The reference effect of official prices," European Journal of Operational Research, Elsevier, vol. 296(1), pages 146-157.
    3. Guan, Xu & Wang, Yulan, 2022. "Quality disclosure in a competitive environment with consumer’s elation and disappointment," Omega, Elsevier, vol. 108(C).
    4. Guang Yang & Ying Wang & Mulin Liu, 2023. "Optimal Policy for Probabilistic Selling with Three-Way Revenue Sharing Contract under the Perspective of Sustainable Supply Chain," Sustainability, MDPI, vol. 15(4), pages 1-22, February.
    5. Büyükdağ, Naci & Soysal, Ayşe Nur & Ki̇tapci, Olgun, 2020. "The effect of specific discount pattern in terms of price promotions on perceived price attractiveness and purchase intention: An experimental research," Journal of Retailing and Consumer Services, Elsevier, vol. 55(C).
    6. Chaab, Jafar & Salhab, Rabih & Zaccour, Georges, 2022. "Dynamic pricing and advertising in the presence of strategic consumers and social contagion: A mean-field game approach," Omega, Elsevier, vol. 109(C).
    7. Anton, Ramona & Chenavaz, Régis Y. & Paraschiv, Corina, 2023. "Dynamic pricing, reference price, and price-quality relationship," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).

    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. Wei-yu Kevin Chiang, 2012. "Supply Chain Dynamics and Channel Efficiency in Durable Product Pricing and Distribution," Manufacturing & Service Operations Management, INFORMS, vol. 14(2), pages 327-343, April.
    2. Anton, Ramona & Chenavaz, Régis Y. & Paraschiv, Corina, 2023. "Dynamic pricing, reference price, and price-quality relationship," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).
    3. Colombo, Luca & Labrecciosa, Paola, 2021. "Dynamic oligopoly pricing with reference-price effects," European Journal of Operational Research, Elsevier, vol. 288(3), pages 1006-1016.
    4. Zhang, Jie & Kevin Chiang, Wei–yu & Liang, Liang, 2014. "Strategic pricing with reference effects in a competitive supply chain," Omega, Elsevier, vol. 44(C), pages 126-135.
    5. Zhenyu Hu & Javad Nasiry, 2018. "Are Markets with Loss-Averse Consumers More Sensitive to Losses?," Management Science, INFORMS, vol. 64(3), pages 1384-1395, March.
    6. Necati Tereyağoğlu & Peter S. Fader & Senthil Veeraraghavan, 2018. "Multiattribute Loss Aversion and Reference Dependence: Evidence from the Performing Arts Industry," Management Science, INFORMS, vol. 64(1), pages 421-436, January.
    7. Ioana Popescu & Yaozhong Wu, 2007. "Dynamic Pricing Strategies with Reference Effects," Operations Research, INFORMS, vol. 55(3), pages 413-429, June.
    8. Chenavaz, Régis, 2016. "Dynamic pricing with reference price dependence," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 10, pages 1-17.
    9. Régis Chenavaz, 2017. "Dynamic quality policies with reference quality effects," Applied Economics, Taylor & Francis Journals, vol. 49(32), pages 3156-3162, July.
    10. Ahrens, Steffen & Pirschel, Inske & Snower, Dennis J., 2017. "A theory of price adjustment under loss aversion," Journal of Economic Behavior & Organization, Elsevier, vol. 134(C), pages 78-95.
    11. Dmitri Kuksov & Kangkang Wang, 2014. "The Bright Side of Loss Aversion in Dynamic and Competitive Markets," Marketing Science, INFORMS, vol. 33(5), pages 693-711, September.
    12. Malekian, Yaser & Rasti-Barzoki, Morteza, 2019. "A game theoretic approach to coordinate price promotion and advertising policies with reference price effects in a two-echelon supply chain," Journal of Retailing and Consumer Services, Elsevier, vol. 51(C), pages 114-128.
    13. Harikesh Nair, 2007. "Intertemporal price discrimination with forward-looking consumers: Application to the US market for console video-games," Quantitative Marketing and Economics (QME), Springer, vol. 5(3), pages 239-292, September.
    14. Ma, Peng & Gong, Yeming & Mirchandani, Prakash, 2020. "Trade-in for remanufactured products: Pricing with double reference effects," International Journal of Production Economics, Elsevier, vol. 230(C).
    15. Adil Baykasoğlu & İlker Gölcük & Derya Eren Akyol, 2017. "A fuzzy multiple-attribute decision making model to evaluate new product pricing strategies," Annals of Operations Research, Springer, vol. 251(1), pages 205-242, April.
    16. Shirin Aslani & Soheil Sibdari & Mohammad Modarres, 2018. "Revenue Management with Customers’ Reference Price: Are the Existing Methods Effective?," Service Science, INFORMS, vol. 10(2), pages 195-214, June.
    17. Zizhuo Wang, 2016. "Technical Note—Intertemporal Price Discrimination via Reference Price Effects," Operations Research, INFORMS, vol. 64(2), pages 290-296, April.
    18. Junhai Ma & Zhanbing Guo, 2017. "Implications for Firms with Limited Information to Take Advantage of Reference Price Effect in Competitive Settings," Complexity, Hindawi, vol. 2017, pages 1-16, June.
    19. Vincent Mak & Amnon Rapoport & Eyran J. Gisches & Jiaojie Han, 2014. "Purchasing Scarce Products Under Dynamic Pricing: An Experimental Investigation," Manufacturing & Service Operations Management, INFORMS, vol. 16(3), pages 425-438, July.
    20. Kopalle, Praveen K. & Kannan, P.K. & Boldt, Lin Bao & Arora, Neeraj, 2012. "The impact of household level heterogeneity in reference price effects on optimal retailer pricing policies," Journal of Retailing, Elsevier, vol. 88(1), pages 102-114.

    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:eee:jomega:v:91:y:2020:i:c:s030504831730717x. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/375/description#description .

    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.