IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v146y2023ics0165188922002895.html
   My bibliography  Save this article

Dynamic pricing, reference price, and price-quality relationship

Author

Listed:
  • Anton, Ramona
  • Chenavaz, Régis Y.
  • Paraschiv, Corina

Abstract

The price-quality relationship receives attention from both practitioners and scholars. Yet, the reference price effect, a central aspect in modeling consumer behavior, is absent from the debate. This article addresses the role of the reference price dynamics in understanding the price-quality relationship. We develop an optimal control model of the dynamic behavior of a firm setting price and quality investment over time, accounting for a reference price effect based on prior selling prices. We contribute to the literature on the price-quality relationship by highlighting the conditions under which better quality may drive a lower price when consumers are prone to a reference price. Analytical results show that a counterintuitive negative price-quality relationship may appear even with a linear demand function. Numerical results emphasize the importance of the initial market conditions in the negative price-quality relationship.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:dyncon:v:146:y:2023:i:c:s0165188922002895
    DOI: 10.1016/j.jedc.2022.104586
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165188922002895
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jedc.2022.104586?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. Martín-Herrán, Guiomar & Taboubi, Sihem, 2015. "Price coordination in distribution channels: A dynamic perspective," European Journal of Operational Research, Elsevier, vol. 240(2), pages 401-414.
    2. Chenavaz, Régis, 2012. "Dynamic pricing, product and process innovation," European Journal of Operational Research, Elsevier, vol. 222(3), pages 553-557.
    3. Tapiero, Charles S. & Ritchken, Peter H. & Reisman, Arnold, 1987. "Reliability, pricing and quality control," European Journal of Operational Research, Elsevier, vol. 31(1), pages 37-45, July.
    4. Chenavaz Régis, 2017. "Better Product Quality May Lead to Lower Product Price," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 17(1), pages 1-22, January.
    5. Franziska Völckner & Julian Hofmann, 2007. "The price-perceived quality relationship: A meta-analytic review and assessment of its determinants," Marketing Letters, Springer, vol. 18(3), pages 181-196, September.
    6. 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.
    7. De Giovanni, Pietro & Zaccour, Georges, 2019. "Optimal quality improvements and pricing strategies with active and passive product returns," Omega, Elsevier, vol. 88(C), pages 248-262.
    8. 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.
    9. Chenavaz, Régis Y. & Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M., 2020. "Modeling the impact of product quality on dynamic pricing and advertising policies," European Journal of Operational Research, Elsevier, vol. 284(3), pages 990-1001.
    10. Shukai Li & Jianxiong Zhang & Wansheng Tang, 2015. "Joint dynamic pricing and inventory control policy for a stochastic inventory system with perishable products," International Journal of Production Research, Taylor & Francis Journals, vol. 53(10), pages 2937-2950, May.
    11. Stiglitz, Joseph E, 1987. "The Causes and Consequences of the Dependence of Quality on Price," Journal of Economic Literature, American Economic Association, vol. 25(1), pages 1-48, March.
    12. Lihao Lu & Jianxiong Zhang & Wansheng Tang, 2016. "Optimal dynamic pricing and replenishment policy for perishable items with inventory-level-dependent demand," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1480-1494, April.
    13. Jian Ni & Shoude Li, 2019. "When better quality or higher goodwill can result in lower product price: A dynamic analysis," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(5), pages 726-736, May.
    14. Teng, Jinn-Tsair & Thompson, Gerald L., 1996. "Optimal strategies for general price-quality decision models of new products with learning production costs," European Journal of Operational Research, Elsevier, vol. 93(3), pages 476-489, September.
    15. Régis Chenavaz & Sajjad M. Jasimuddin, 2017. "An analytical model of the relationship between product quality and advertising," Post-Print hal-01685892, HAL.
    16. Voros, Jozsef, 2006. "The dynamics of price, quality and productivity improvement decisions," European Journal of Operational Research, Elsevier, vol. 170(3), pages 809-823, May.
    17. 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.
    18. Milgrom, Paul & Roberts, John, 1986. "Price and Advertising Signals of Product Quality," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 796-821, August.
    19. Chenavaz, Régis & Paraschiv, Corina, 2018. "Dynamic pricing for inventories with reference price effects," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 12, pages 1-16.
    20. Musen Xue & Wansheng Tang & Jianxiong Zhang, 2016. "Optimal dynamic pricing for deteriorating items with reference-price effects," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(9), pages 2022-2031, July.
    21. 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.
    22. Régis Chenavaz & Corina Paraschiv & Gabriel Turinici, 2021. "Dynamic Pricing of New Products in Competitive Markets: A Mean-Field Game Approach," Dynamic Games and Applications, Springer, vol. 11(3), pages 463-490, September.
    23. Ming Chen & Zhi-Long Chen, 2015. "Recent Developments in Dynamic Pricing Research: Multiple Products, Competition, and Limited Demand Information," Production and Operations Management, Production and Operations Management Society, vol. 24(5), pages 704-731, May.
    24. Schlosser, Rainer & Chenavaz, Régis Y. & Dimitrov, Stanko, 2021. "Circular economy: Joint dynamic pricing and recycling investments," International Journal of Production Economics, Elsevier, vol. 236(C).
    25. Sander Heinsalu, 2021. "Competitive pricing despite search costs when lower price signals quality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 317-339, February.
    26. Ginger Zhe Jin & Andrew Kato, 2006. "Price, quality, and reputation: evidence from an online field experiment," RAND Journal of Economics, RAND Corporation, vol. 37(4), pages 983-1005, December.
    27. Chuanchao Xu & Bo Li & Yanfei Lan & Yi Tang, 2014. "A Closed-Loop Supply Chain Problem with Retailing and Recycling Competition," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-14, July.
    28. Reddy, Puduru V. & Wrzaczek, Stefan & Zaccour, Georges, 2016. "Quality effects in different advertising models - An impulse control approach," European Journal of Operational Research, Elsevier, vol. 255(3), pages 984-995.
    29. Giulietti, Monica & Otero, Jesús & Waterson, Michael, 2020. "Rigidities and adjustments of daily prices to costs: Evidence from supermarket data," Journal of Economic Dynamics and Control, Elsevier, vol. 116(C).
    30. Shoude Li, 2021. "Dynamic optimal control of a firm’s product-process innovation with expected quality effects in a monopoly exhibiting network externality," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 72(11), pages 2557-2579, November.
    31. Fouad El Ouardighi & Konstantin Kogan, 2013. "Dynamic conformance and design quality in a supply chain: an assessment of contracts’ coordinating power," Annals of Operations Research, Springer, vol. 211(1), pages 137-166, December.
    32. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    33. Souresh Saha, 2007. "Consumer preferences and product and process R&D," RAND Journal of Economics, RAND Corporation, vol. 38(1), pages 250-268, March.
    34. Arieh Gavious & Oded Lowengart, 2012. "Price–quality relationship in the presence of asymmetric dynamic reference quality effects," Marketing Letters, Springer, vol. 23(1), pages 137-161, March.
    35. Shlomo Kalish, 1983. "Monopolist Pricing with Dynamic Demand and Production Cost," Marketing Science, INFORMS, vol. 2(2), pages 135-159.
    36. Karray, Salma & Martín-Herrán, Guiomar, 2009. "A dynamic model for advertising and pricing competition between national and store brands," European Journal of Operational Research, Elsevier, vol. 193(2), pages 451-467, March.
    37. Qiao Zhang & Jianxiong Zhang & Wansheng Tang, 2017. "Coordinating a supply chain with green innovation in a dynamic setting," 4OR, Springer, vol. 15(2), pages 133-162, June.
    38. Dye, Chung-Yuan, 2020. "Optimal joint dynamic pricing, advertising and inventory control model for perishable items with psychic stock effect," European Journal of Operational Research, Elsevier, vol. 283(2), pages 576-587.
    39. Pradeep K. Chintagunta, 1993. "Investigating the Sensitivity of Equilibrium Profits to Advertising Dynamics and Competitive Effects," Management Science, INFORMS, vol. 39(9), pages 1146-1162, September.
    40. Elmar Kiesling & Markus Günther & Christian Stummer & Lea Wakolbinger, 2012. "Agent-based simulation of innovation diffusion: a review," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(2), pages 183-230, June.
    41. Kim, Jeong-Yoo & Berg, Nathan, 2017. "Reexamining the Schmalensee effect," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 11, pages 1-12.
    42. Voros, Jozsef, 2019. "An analysis of the dynamic price-quality relationship," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1037-1045.
    43. 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.
    44. De Giovanni, Pietro, 2011. "Quality improvement vs. advertising support: Which strategy works better for a manufacturer?," European Journal of Operational Research, Elsevier, vol. 208(2), pages 119-130, January.
    45. Dengfeng Yan & Jaideep Sengupta, 2011. "Effects of Construal Level on the Price-Quality Relationship," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 38(2), pages 376-389.
    46. Julian Hofmann & Michel Clement & Franziska Völckner & Thorsten Hennig-Thurau, 2007. "The price-perceived quality relationship: A meta-analytic review and assessment of its determinants," Post-Print hal-02990424, HAL.
    47. Ellingsen, Tore, 1997. "Price signals quality: The case of perfectly inelastic demand," International Journal of Industrial Organization, Elsevier, vol. 16(1), pages 43-61, November.
    48. Jorgensen, Steffen & Zaccour, Georges, 1999. "Price subsidies and guaranteed buys of a new technology," European Journal of Operational Research, Elsevier, vol. 114(2), pages 338-345, April.
    49. Janssen, Maarten C.W. & Roy, Santanu, 2010. "Signaling quality through prices in an oligopoly," Games and Economic Behavior, Elsevier, vol. 68(1), pages 192-207, January.
    50. Dye, Chung-Yuan & Yang, Chih-Te, 2016. "Optimal dynamic pricing and preservation technology investment for deteriorating products with reference price effects," Omega, Elsevier, vol. 62(C), pages 52-67.
    51. Bertrand Crettez & Naila Hayek & Georges Zaccour, 2020. "Existence and characterization of optimal dynamic pricing strategies with reference-price effects," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(2), pages 441-459, June.
    52. Zhengrui Jiang & Dipak C. Jain, 2012. "A Generalized Norton-Bass Model for Multigeneration Diffusion," Management Science, INFORMS, vol. 58(10), pages 1887-1897, October.
    53. Bagwell, Kyle & Riordan, Michael H, 1991. "High and Declining Prices Signal Product Quality," American Economic Review, American Economic Association, vol. 81(1), pages 224-239, March.
    54. LeBlanc, Justin D. & Civelli, Andrea & Deck, Cary & Bregu, Klajdi, 2016. "State dependent price setting rules under implicit thresholds: An experiment," Journal of Economic Dynamics and Control, Elsevier, vol. 68(C), pages 17-44.
    55. 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.
    56. Zhang, Jie & Chiang, Wei-yu Kevin, 2020. "Durable goods pricing with reference price effects," Omega, Elsevier, vol. 91(C).
    57. Acharyya, Rajat, 1998. "Monopoly and product quality: Separating or pooling menu?," Economics Letters, Elsevier, vol. 61(2), pages 187-194, November.
    58. Ioana Popescu & Yaozhong Wu, 2007. "Dynamic Pricing Strategies with Reference Effects," Operations Research, INFORMS, vol. 55(3), pages 413-429, June.
    59. R. Schlosser & K. Richly, 2019. "Dynamic pricing under competition with data-driven price anticipations and endogenous reference price effects," Journal of Revenue and Pricing Management, Palgrave Macmillan, vol. 18(6), pages 451-464, December.
    60. 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.
    61. Shoude Li & Susu Cheng & Dongdong Li, 2020. "Dynamic control of a monopolist’s product and process innovation with reference quality," Applied Economics, Taylor & Francis Journals, vol. 52(36), pages 3933-3950, July.
    62. Luca Grosset & Bruno Viscolani, 2020. "Decisions on production and quality," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 91-107, June.
    63. Asher Wolinsky, 1983. "Prices as Signals of Product Quality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 647-658.
    64. Hsieh, Tsu-Pang & Dye, Chung-Yuan, 2017. "Optimal dynamic pricing for deteriorating items with reference price effects when inventories stimulate demand," European Journal of Operational Research, Elsevier, vol. 262(1), pages 136-150.
    65. Bruce Robinson & Chet Lakhani, 1975. "Dynamic Price Models for New-Product Planning," Management Science, INFORMS, vol. 21(10), pages 1113-1122, June.
    66. Ginger Zhe Jin & Andrew Kato, 2006. "Price, quality, and reputation: evidence from an online field experiment," RAND Journal of Economics, The RAND Corporation, vol. 37(4), pages 983-1005, December.
    67. George Li & S. Rajagopalan, 1998. "Process Improvement, Quality, and Learning Effects," Management Science, INFORMS, vol. 44(11-Part-1), pages 1517-1532, November.
    68. A. Michael Spence, 1975. "Monopoly, Quality, and Regulation," Bell Journal of Economics, The RAND Corporation, vol. 6(2), pages 417-429, Autumn.
    69. Olbrich, Rainer & Jansen, Hans Christian & Hundt, Michael, 2017. "Effects of pricing strategies and product quality on private label and national brand performance," Journal of Retailing and Consumer Services, Elsevier, vol. 34(C), pages 294-301.
    70. Pan, Xiaojun & Li, Shoude, 2016. "Dynamic optimal control of process–product innovation with learning by doing," European Journal of Operational Research, Elsevier, vol. 248(1), pages 136-145.
    71. 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.
    72. Li, Shoude & Ni, Jian, 2016. "A dynamic analysis of investment in process and product innovation with learning-by-doing," Economics Letters, Elsevier, vol. 145(C), pages 104-108.
    73. G. E. Fruchter, 2009. "Signaling Quality: Dynamic Price-Advertising Model," Journal of Optimization Theory and Applications, Springer, vol. 143(3), pages 479-496, December.
    74. Vörös, József, 2013. "Multi-period models for analyzing the dynamics of process improvement activities," European Journal of Operational Research, Elsevier, vol. 230(3), pages 615-623.
    75. Shoude Li, 2018. "Dynamic control of a multiproduct monopolist firm’s product and process innovation," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(5), pages 714-733, May.
    76. 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.
    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. De Giovanni, Pietro & Zaccour, Georges, 2023. "A survey of dynamic models of product quality," European Journal of Operational Research, Elsevier, vol. 307(3), pages 991-1007.
    2. Chenavaz, Régis Y. & Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M., 2020. "Modeling the impact of product quality on dynamic pricing and advertising policies," European Journal of Operational Research, Elsevier, vol. 284(3), pages 990-1001.
    3. Régis Chenavaz & Corina Paraschiv & Gabriel Turinici, 2021. "Dynamic Pricing of New Products in Competitive Markets: A Mean-Field Game Approach," Dynamic Games and Applications, Springer, vol. 11(3), pages 463-490, September.
    4. Chenavaz, Régis & Paraschiv, Corina, 2018. "Dynamic pricing for inventories with reference price effects," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 12, pages 1-16.
    5. Zhang, Jie & Chiang, Wei-yu Kevin, 2020. "Durable goods pricing with reference price effects," Omega, Elsevier, vol. 91(C).
    6. 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.
    7. Chenavaz, Régis Y. & Leocata, Marta & Ogonowska, Malgorzata & Torre, Dominique, 2022. "Sustainable tourism," Journal of Economic Dynamics and Control, Elsevier, vol. 143(C).
    8. Chenavaz, Régis Y. & Dimitrov, Stanko & Figge, Frank, 2021. "When does eco-efficiency rebound or backfire? An analytical model," European Journal of Operational Research, Elsevier, vol. 290(2), pages 687-700.
    9. Chenavaz Régis, 2017. "Better Product Quality May Lead to Lower Product Price," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 17(1), pages 1-22, January.
    10. Régis Chenavaz & Sajjad M. Jasimuddin, 2017. "An analytical model of the relationship between product quality and advertising," Post-Print hal-01685892, HAL.
    11. Genlong Guo & Shoude Li, 2023. "A dynamic analysis of a monopolist's efforts for improving product quality and process innovation with reference price effects under linear demand," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(4), pages 2328-2345, June.
    12. Régis Chenavaz, 2017. "Dynamic quality policies with reference quality effects," Applied Economics, Taylor & Francis Journals, vol. 49(32), pages 3156-3162, July.
    13. 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).
    14. 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.
    15. Voros, Jozsef, 2019. "An analysis of the dynamic price-quality relationship," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1037-1045.
    16. Chenavaz, Régis Y. & Eynan, Amit, 2021. "Advertising, goodwill, and the Veblen effect," European Journal of Operational Research, Elsevier, vol. 289(2), pages 676-682.
    17. Régis Chenavaz & Corina Paraschiv & Gabriel Turinici, 2017. "Dynamic Pricing of New Products in Competitive Markets: A Mean-Field Game Approach," Working Papers hal-01592958, HAL.
    18. 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.
    19. Colombo, Luca & Labrecciosa, Paola, 2021. "Dynamic oligopoly pricing with reference-price effects," European Journal of Operational Research, Elsevier, vol. 288(3), pages 1006-1016.
    20. Fan Zhang & Susu Cheng, 2021. "Behavioral choices in a dynamic duopoly with process innovation and sticky price: Myopia versus farsightedness," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(3), pages 662-674, April.

    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:dyncon:v:146:y:2023:i:c:s0165188922002895. 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/locate/jedc .

    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.