IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v154y2012i2d10.1007_s10957-012-0034-5.html
   My bibliography  Save this article

Optimal Advertising and Pricing in a Dynamic Durable Goods Supply Chain

Author

Listed:
  • Anshuman Chutani

    (Binghamton University, State University of New York)

  • Suresh P. Sethi

    (The University of Texas at Dallas)

Abstract

Cooperative advertising is an incentive offered by a manufacturer to influence retailers’ promotional decisions. We study a dynamic durable goods duopoly with a manufacturer and two independent and competing retailers. The manufacturer, as a Stackelberg leader, announces his wholesale prices and his shares of retailers’ advertising costs, and the retailers in response play a Nash differential game in choosing their optimal retail prices and advertising efforts over time. We obtain the feedback equilibrium policies for the manufacturer and the retailers in explicit form for a linear demand formulation. We investigate issues, like channel coordination and antidiscriminatory legislation, and also study a case, when the manufacturer sells through only one retailer and the second retailer sells a competing brand.

Suggested Citation

  • Anshuman Chutani & Suresh P. Sethi, 2012. "Optimal Advertising and Pricing in a Dynamic Durable Goods Supply Chain," Journal of Optimization Theory and Applications, Springer, vol. 154(2), pages 615-643, August.
    • Handle: RePEc:spr:joptap:v:154:y:2012:i:2:d:10.1007_s10957-012-0034-5
    DOI: 10.1007/s10957-012-0034-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-012-0034-5
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-012-0034-5?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. Nicholas C. Petruzzi & Maqbool Dada, 1999. "Pricing and the Newsvendor Problem: A Review with Extensions," Operations Research, INFORMS, vol. 47(2), pages 183-194, April.
    2. Raja Kali, 1998. "Minimum Advertised Price," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 7(4), pages 647-668, December.
    3. Alain Haurie & Georges Zaccour (ed.), 2005. "Dynamic Games: Theory and Applications," Springer Books, Springer, number 978-0-387-24602-4, December.
    4. S. Jørgensen & S. Taboubi & G. Zaccour, 2001. "Cooperative Advertising in a Marketing Channel," Journal of Optimization Theory and Applications, Springer, vol. 110(1), pages 145-158, July.
    5. Krishnamoorthy, Anand & Prasad, Ashutosh & Sethi, Suresh P., 2010. "Optimal pricing and advertising in a durable-good duopoly," European Journal of Operational Research, Elsevier, vol. 200(2), pages 486-497, January.
    6. Frank M. Bass, 1969. "A New Product Growth for Model Consumer Durables," Management Science, INFORMS, vol. 15(5), pages 215-227, January.
    7. S. P. Sethi & A. Prasad & X. He, 2008. "Optimal Advertising and Pricing in a New-Product Adoption Model," Journal of Optimization Theory and Applications, Springer, vol. 139(2), pages 351-360, November.
    8. Matthew Nagler, 2006. "An exploratory analysis of the determinants of cooperative advertising participation rates," Marketing Letters, Springer, vol. 17(2), pages 91-102, April.
    9. Jorgensen, Steffen & Taboubi, Sihem & Zaccour, Georges, 2003. "Retail promotions with negative brand image effects: Is cooperation possible?," European Journal of Operational Research, Elsevier, vol. 150(2), pages 395-405, October.
    10. Trichy V. Krishnan & Frank M. Bass & Dipak C. Jain, 1999. "Optimal Pricing Strategy for New Products," Management Science, INFORMS, vol. 45(12), pages 1650-1663, December.
    11. Gerald L. Thompson & Jinn-Tsair Teng, 1984. "Optimal Pricing and Advertising Policies for New Product Oligopoly Models," Marketing Science, INFORMS, vol. 3(2), pages 148-168.
    12. Bruce Robinson & Chet Lakhani, 1975. "Dynamic Price Models for New-Product Planning," Management Science, INFORMS, vol. 21(10), pages 1113-1122, June.
    13. Salma Karray & Georges Zaccour, 2005. "A Differential Game of Advertising for National and Store Brands," Springer Books, in: Alain Haurie & Georges Zaccour (ed.), Dynamic Games: Theory and Applications, chapter 0, pages 213-229, Springer.
    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. Karray, Salma & Martín-Herrán, Guiomar & Sigué, Simon-Pierre, 2017. "Cooperative advertising for competing manufacturers: The impact of long-term promotional effects," International Journal of Production Economics, Elsevier, vol. 184(C), pages 21-32.
    2. Chenavaz, Régis Y. & Eynan, Amit, 2021. "Advertising, goodwill, and the Veblen effect," European Journal of Operational Research, Elsevier, vol. 289(2), pages 676-682.
    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. Fujisawa, Chieko & Kasuga, Norihiro, 2021. "How should durable goods firms combine online and mass media advertisements to promote sales?," 23rd ITS Biennial Conference, Online Conference / Gothenburg 2021. Digital societies and industrial transformations: Policies, markets, and technologies in a post-Covid world 238023, International Telecommunications Society (ITS).
    5. Dridi, Dhouha & Ben Youssef, Slim, 2015. "Local advertising externalities and cooperation in one manufacturer-two retailers channel," MPRA Paper 62705, University Library of Munich, Germany.
    6. Martín-Herrán, Guiomar & Rubio, Santiago J., 2021. "On coincidence of feedback and global Stackelberg equilibria in a class of differential games," European Journal of Operational Research, Elsevier, vol. 293(2), pages 761-772.
    7. Michał Kot, 2022. "An agent-based model of consumer choice. An evaluation of the strategy of pricing and advertising," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 32(1), pages 73-95.
    8. 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.
    9. Qi Chen & Qi Xu & Cui Wu, 2019. "Dynamic Matching in Cloud Manufacturing considering Matching Costs," Complexity, Hindawi, vol. 2019, pages 1-16, July.
    10. Lotfi, Ali & Naoum-Sawaya, Joe & Lotfi, Aslan & Jiang, Zhengrui, 2024. "To Skim or not to Skim: Studying the Optimal Pricing Strategy for Technology Products," Omega, Elsevier, vol. 127(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. Anshuman Chutani & Suresh Sethi, 2012. "Cooperative Advertising in a Dynamic Retail Market Oligopoly," Dynamic Games and Applications, Springer, vol. 2(4), pages 347-375, December.
    13. Régis Chenavaz & Sajjad M. Jasimuddin, 2017. "An analytical model of the relationship between product quality and advertising," Post-Print hal-01685892, HAL.
    14. Aust, Gerhard & Buscher, Udo, 2014. "Cooperative advertising models in supply chain management: A review," European Journal of Operational Research, Elsevier, vol. 234(1), pages 1-14.
    15. Qinglong Gou & Juzhi Zhang & Juan Zhang & Liang Liang, 2017. "Nash Equilibria of Co-Operative Advertising Programs with Advertising Threshold Effects," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 981-1004, July.
    16. Karray, Salma & Martín-Herrán, Guiomar & Zaccour, Georges, 2017. "Assessing the profitability of cooperative advertising programs in competing channels," International Journal of Production Economics, Elsevier, vol. 187(C), pages 142-158.
    17. 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.
    18. Jiayi Sun & Deqing Tan, 2023. "Non-cooperative Mode, Cost-Sharing Mode, or Cooperative Mode: Which is the Optimal Mode for Desertification Control?," Computational Economics, Springer;Society for Computational Economics, vol. 61(3), pages 975-1008, March.
    19. Chutani, Anshuman & Sethi, Suresh P., 2018. "Dynamic cooperative advertising under manufacturer and retailer level competition," European Journal of Operational Research, Elsevier, vol. 268(2), pages 635-652.
    20. Kogan, Konstantin, 2016. "Pricing competition with inventory considerations in a hazard rate-prone market of durables," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 298-313.
    21. Qian, Zhifeng & Day, Steven James & Ignatius, Joshua & Dhamotharan, Lalitha & Chai, Junwu, 2024. "Digital advertising spillover, online-exclusive product launches, and manufacturer-remanufacturer competition," European Journal of Operational Research, Elsevier, vol. 313(2), pages 565-586.
    22. Fujisawa, Chieko & Kasuga, Norihiro, 2022. "Differentiation Strategy for Firms: Online Ad versus Mass Media Ad," 31st European Regional ITS Conference, Gothenburg 2022: Reining in Digital Platforms? Challenging monopolies, promoting competition and developing regulatory regimes 265629, International Telecommunications Society (ITS).

    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. Aust, Gerhard & Buscher, Udo, 2014. "Cooperative advertising models in supply chain management: A review," European Journal of Operational Research, Elsevier, vol. 234(1), pages 1-14.
    2. 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.
    3. Krishnamoorthy, Anand & Prasad, Ashutosh & Sethi, Suresh P., 2010. "Optimal pricing and advertising in a durable-good duopoly," European Journal of Operational Research, Elsevier, vol. 200(2), pages 486-497, January.
    4. Anshuman Chutani & Suresh Sethi, 2012. "Cooperative Advertising in a Dynamic Retail Market Oligopoly," Dynamic Games and Applications, Springer, vol. 2(4), pages 347-375, December.
    5. 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.
    6. He, Yi & Wang, Hang & Guo, Qiang & Xu, Qingyun, 2019. "Coordination through cooperative advertising in a two-period consumer electronics supply chain," Journal of Retailing and Consumer Services, Elsevier, vol. 50(C), pages 179-188.
    7. Wenjing Shen & Izak Duenyas & Roman Kapuscinski, 2014. "Optimal Pricing, Production, and Inventory for New Product Diffusion Under Supply Constraints," Manufacturing & Service Operations Management, INFORMS, vol. 16(1), pages 28-45, February.
    8. 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.
    9. Arda Yenipazarli, 2015. "A road map to new product success: warranty, advertisement and price," Annals of Operations Research, Springer, vol. 226(1), pages 669-694, March.
    10. Juan Zhang & Qinglong Gou & Susan Li & Zhimin Huang, 2017. "Cooperative Advertising with Accrual Rate in a Dynamic Supply Chain," Dynamic Games and Applications, Springer, vol. 7(1), pages 112-130, March.
    11. 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.
    12. 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.
    13. Ghobadi, Somayeh Najafi- & Bagherinejad, Jafar & Taleizadeh, Ata Allah, 2021. "A two-generation new product model by considering forward-looking customers: Dynamic pricing and advertising optimization," Journal of Retailing and Consumer Services, Elsevier, vol. 63(C).
    14. Lu, Lijue & Marín-Solano, Jesús & Navas, Jorge, 2019. "An analysis of efficiency of time-consistent coordination mechanisms in a model of supply chain management," European Journal of Operational Research, Elsevier, vol. 279(1), pages 211-224.
    15. Marius F. Niculescu & Seungjin Whang, 2012. "Research Note ---Codiffusion of Wireless Voice and Data Services: An Empirical Analysis of the Japanese Mobile Telecommunications Market," Information Systems Research, INFORMS, vol. 23(1), pages 260-279, March.
    16. Qinglong Gou & Juzhi Zhang & Juan Zhang & Liang Liang, 2017. "Nash Equilibria of Co-Operative Advertising Programs with Advertising Threshold Effects," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 981-1004, July.
    17. Avagyan, Vardan & Esteban-Bravo, Mercedes & Vidal-Sanz, Jose M., 2014. "Licensing radical product innovations to speed up the diffusion," European Journal of Operational Research, Elsevier, vol. 239(2), pages 542-555.
    18. Fruchter, Gila E. & Van den Bulte, Christophe, 2011. "Why the Generalized Bass Model leads to odd optimal advertising policies," International Journal of Research in Marketing, Elsevier, vol. 28(3), pages 218-230.
    19. Peng Du & Qiushuang Chen, 2017. "Skimming or penetration: optimal pricing of new fashion products in the presence of strategic consumers," Annals of Operations Research, Springer, vol. 257(1), pages 275-295, October.
    20. 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.

    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:spr:joptap:v:154:y:2012:i:2:d:10.1007_s10957-012-0034-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.