IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-03575993.html
   My bibliography  Save this paper

Modeling the impact of product quality on dynamic pricing and advertising policies

Author

Listed:
  • Régis Chenavaz

    (KEDGE Business School [Marseille], AMSE - Aix-Marseille Sciences Economiques - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Gustav Feichtinger
  • Richard Hartl
  • Peter Kort

Abstract

The marketing-mix of price–quality and advertising–quality relationship is well studied. Less understood is the price–advertising–quality relationship. This article fills the gap, investigating the interplay between price, advertising, and quality in an optimal control model. Our results generalize the condition of Dorfman–Steiner in a dynamic context. Also, they point to the impact of greater product quality on the dynamic policies of pricing and advertising. Furthermore, a phase diagram analysis shows that quality develops monotonically in time and converges to a unique steady state. We also show that quality investment could either decrease or increase over time but this depends on its effectiveness. Our results spot the profitable opportunities of a firm managing a more complex marketing-mix.

Suggested Citation

  • Régis Chenavaz & Gustav Feichtinger & Richard Hartl & Peter Kort, 2020. "Modeling the impact of product quality on dynamic pricing and advertising policies," Post-Print hal-03575993, HAL.
  • Handle: RePEc:hal:journl:hal-03575993
    DOI: 10.1016/j.ejor.2020.01.035
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Erickson, Gary M., 1995. "Differential game models of advertising competition," European Journal of Operational Research, Elsevier, vol. 83(3), pages 431-438, June.
    2. N. Amrouche & G. Martín-Herrán & G. Zaccour, 2008. "Pricing and Advertising of Private and National Brands in a Dynamic Marketing Channel," Journal of Optimization Theory and Applications, Springer, vol. 137(3), pages 465-483, June.
    3. Karaer, Özgen & Erhun, Feryal, 2015. "Quality and entry deterrence," European Journal of Operational Research, Elsevier, vol. 240(1), pages 292-303.
    4. Chenavaz, Régis, 2012. "Dynamic pricing, product and process innovation," European Journal of Operational Research, Elsevier, vol. 222(3), pages 553-557.
    5. Fouad El Ouardighi & Gustav Feichtinger & Dieter Grass & Richard F. Hartl & Peter M. Kort, 2016. "Advertising and Quality-Dependent Word-of-Mouth in a Contagion Sales Model," Journal of Optimization Theory and Applications, Springer, vol. 170(1), pages 323-342, July.
    6. 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.
    7. Helmes, Kurt & Schlosser, Rainer & Weber, Martin, 2013. "Optimal advertising and pricing in a class of general new-product adoption models," European Journal of Operational Research, Elsevier, vol. 229(2), pages 433-443.
    8. 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.
    9. 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.
    10. Régis Chenavaz & Sajjad M. Jasimuddin, 2017. "An analytical model of the relationship between product quality and advertising," Post-Print hal-01685892, HAL.
    11. Xie, Gang & Yue, Wuyi & Wang, Shouyang & Lai, Kin Keung, 2011. "Quality investment and price decision in a risk-averse supply chain," European Journal of Operational Research, Elsevier, vol. 214(2), pages 403-410, October.
    12. L. Colombo & L. Lambertini, 2003. "Dynamic Advertising Under Vertical Product Differentiation," Journal of Optimization Theory and Applications, Springer, vol. 119(2), pages 261-280, November.
    13. 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.
    14. 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.
    15. Piga, Claudio A. G., 2000. "Competition in a duopoly with sticky price and advertising," International Journal of Industrial Organization, Elsevier, vol. 18(4), pages 595-614, May.
    16. Lin Feng & Jianxiong Zhang & Wansheng Tang, 2015. "A joint dynamic pricing and advertising model of perishable products," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(8), pages 1341-1351, August.
    17. Régis Chenavaz, 2017. "Dynamic quality policies with reference quality effects," Applied Economics, Taylor & Francis Journals, vol. 49(32), pages 3156-3162, July.
    18. 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.
    19. Huang, Jian & Leng, Mingming & Liang, Liping, 2012. "Recent developments in dynamic advertising research," European Journal of Operational Research, Elsevier, vol. 220(3), pages 591-609.
    20. 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.
    21. Jørgensen, Steffen & Kort, Peter M. & Zaccour, Georges, 2009. "Optimal pricing and advertising policies for an entertainment event," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 583-596, March.
    22. Shlomo Kalish, 1983. "Monopolist Pricing with Dynamic Demand and Production Cost," Marketing Science, INFORMS, vol. 2(2), pages 135-159.
    23. Voros, Jozsef, 2019. "An analysis of the dynamic price-quality relationship," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1037-1045.
    24. Schlosser, Rainer, 2017. "Stochastic dynamic pricing and advertising in isoelastic oligopoly models," European Journal of Operational Research, Elsevier, vol. 259(3), pages 1144-1155.
    25. Samar K. Mukhopadhyay & Panagiotis Kouvelis, 1997. "A Differential Game Theoretic Model for Duopolistic Competition on Design Quality," Operations Research, INFORMS, vol. 45(6), pages 886-893, December.
    26. Kurt Helmes & Rainer Schlosser, 2015. "Oligopoly Pricing and Advertising in Isoelastic Adoption Models," Dynamic Games and Applications, Springer, vol. 5(3), pages 334-360, September.
    27. Cui, Qinquan, 2019. "Quality investment, and the contract manufacturer’s encroachment," European Journal of Operational Research, Elsevier, vol. 279(2), pages 407-418.
    28. Gustav Feichtinger & Richard F. Hartl & Suresh P. Sethi, 1994. "Dynamic Optimal Control Models in Advertising: Recent Developments," Management Science, INFORMS, vol. 40(2), pages 195-226, February.
    29. Régis Chenavaz, 2011. "Dynamic pricing rule and R&D," Economics Bulletin, AccessEcon, vol. 31(3), pages 2229-2236.
    30. Jørgensen, Steffen & Zaccour, Georges, 2014. "A survey of game-theoretic models of cooperative advertising," European Journal of Operational Research, Elsevier, vol. 237(1), pages 1-14.
    31. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, October.
    32. Lin, Pei-Chun, 2008. "Optimal pricing, production rate, and quality under learning effects," Journal of Business Research, Elsevier, vol. 61(11), pages 1152-1159, November.
    33. 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.
    34. Caulkins, J.P. & Feichtinger, G. & Grass, D. & Hartl, R.F. & Kort, P.M. & Seidl, A., 2011. "Optimal pricing of a conspicuous product during a recession that freezes capital markets," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 163-174, January.
    35. G. E. Fruchter, 2009. "Signaling Quality: Dynamic Price-Advertising Model," Journal of Optimization Theory and Applications, Springer, vol. 143(3), pages 479-496, December.
    36. 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.
    37. 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.
    38. Chen, Jingxian & Liang, Liang & Yao, Dong-Qing & Sun, Shengnan, 2017. "Price and quality decisions in dual-channel supply chains," European Journal of Operational Research, Elsevier, vol. 259(3), pages 935-948.
    39. Bagwell, Kyle, 2007. "The Economic Analysis of Advertising," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 28, pages 1701-1844, Elsevier.
    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. Yan, Yingchen & Zhao, Qiuhong & Qin, Zhongfeng & Sun, Gaoji, 2022. "Integration of development and advertising strategies for multi-attribute products under competition," European Journal of Operational Research, Elsevier, vol. 300(2), pages 490-503.
    2. 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.
    3. 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.
    4. Mandal, Prasenjit & Jain, Tarun, 2021. "Partial outsourcing from a rival: Quality decision under product differentiation and information asymmetry," European Journal of Operational Research, Elsevier, vol. 292(3), pages 886-908.
    5. Liu, Chao & Lv, Jingyu & Hou, Ping & Lu, Danrong, 2023. "Disclosing products’ freshness level as a non-contractible quality: Optimal logistics service contracts in the fresh products supply chain," European Journal of Operational Research, Elsevier, vol. 307(3), pages 1085-1102.
    6. Chenavaz, Régis Y. & Leocata, Marta & Ogonowska, Malgorzata & Torre, Dominique, 2022. "Sustainable tourism," Journal of Economic Dynamics and Control, Elsevier, vol. 143(C).
    7. Li, Ruihai & Yang, Hui-Ling & Shi, Yan & Teng, Jinn-Tsair & Lai, Kuei-Kuei, 2021. "EOQ-based pricing and customer credit decisions under general supplier payments," European Journal of Operational Research, Elsevier, vol. 289(2), pages 652-665.
    8. Chenavaz, Régis Y. & Eynan, Amit, 2021. "Advertising, goodwill, and the Veblen effect," European Journal of Operational Research, Elsevier, vol. 289(2), pages 676-682.
    9. 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.
    10. Rezaee Vessal, Sara & De Giovanni, Pietro & Hassanzadeh, Alborz, 2022. "Technology and service investments in the presence of feature fatigue and word-of-mouth," European Journal of Operational Research, Elsevier, vol. 301(3), pages 923-941.
    11. Qiu, Ruozhen & Sun, Yue & Zhou, Hongcheng & Sun, Minghe, 2023. "Dynamic pricing and quick response of a retailer in the presence of strategic consumers: A distributionally robust optimization approach," European Journal of Operational Research, Elsevier, vol. 307(3), pages 1270-1298.
    12. Liu, Chao & Chen, Weidong & Zhou, Qian & Mu, Jing, 2021. "Modelling dynamic freshness-keeping effort over a finite time horizon in a two-echelon online fresh product supply chain," European Journal of Operational Research, Elsevier, vol. 293(2), pages 511-528.
    13. 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. Régis Chenavaz & Sajjad M. Jasimuddin, 2017. "An analytical model of the relationship between product quality and advertising," Post-Print hal-01685892, HAL.
    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. 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.
    4. 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.
    5. Chenavaz, Régis Y. & Eynan, Amit, 2021. "Advertising, goodwill, and the Veblen effect," European Journal of Operational Research, Elsevier, vol. 289(2), pages 676-682.
    6. Chenavaz, Régis Y. & Leocata, Marta & Ogonowska, Malgorzata & Torre, Dominique, 2022. "Sustainable tourism," Journal of Economic Dynamics and Control, Elsevier, vol. 143(C).
    7. 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.
    8. Voros, Jozsef, 2019. "An analysis of the dynamic price-quality relationship," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1037-1045.
    9. Régis Chenavaz & Octavio Escobar & Xavier Rousset, 2019. "An analytical framework for retailer price and advertising decisions for products with temperature-sensitive demand," Applied Economics, Taylor & Francis Journals, vol. 51(52), pages 5683-5693, November.
    10. 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).
    11. 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.
    12. Lambertini, Luca & Zaccour, Georges, 2015. "Inverted-U aggregate investment curves in a dynamic game of advertising," Economics Letters, Elsevier, vol. 132(C), pages 34-38.
    13. Balázs Szabó & Sándor Danka, 2022. "State aid and the learning‐by‐doing effect on product pricing," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(1), pages 228-240, January.
    14. Ni, Jian & Zhao, Jun & Chu, Lap Keung, 2021. "Supply contracting and process innovation in a dynamic supply chain with information asymmetry," European Journal of Operational Research, Elsevier, vol. 288(2), pages 552-562.
    15. 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.
    16. Helmes, Kurt L. & Schlosser, Rainer, 2013. "Dynamic advertising and pricing with constant demand elasticities," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2814-2832.
    17. 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.
    18. Lu, Fuxiao & Tang, Wansheng & Liu, Guowei & Zhang, Jianxiong, 2019. "Cooperative advertising: A way escaping from the prisoner’s dilemma in a supply chain with sticky price," Omega, Elsevier, vol. 86(C), pages 87-106.
    19. Tenryu, Yohei & Kamei, Keita, 2014. "Welfare Analysis of Dynamic Voluntary Advertising in Covered Markets," MPRA Paper 60694, University Library of Munich, Germany.
    20. Song, Jian & Chutani, Anshuman & Dolgui, Alexandre & Liang, Liang, 2021. "Dynamic innovation and pricing decisions in a supply-Chain," Omega, Elsevier, vol. 103(C).

    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:hal:journl:hal-03575993. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.