IDEAS home Printed from https://ideas.repec.org/a/spr/dyngam/v2y2012i4p347-375.html
   My bibliography  Save this article

Cooperative Advertising in a Dynamic Retail Market Oligopoly

Author

Listed:
  • Anshuman Chutani
  • Suresh Sethi

Abstract

Cooperative advertising is a key incentive offered by a manufacturer to influence retailers’ promotional decisions. We study cooperative advertising in a dynamic retail oligopoly where a manufacturer sells his product through N competing retailers. We model the problem as a Stackelberg differential game in which the manufacturer announces his shares of advertising costs of the N retailers or his subsidy rates, and the retailers in response play a Nash differential game in choosing their optimal advertising efforts over time. We obtain the feedback equilibrium solution consisting of the optimal advertising policies of the retailers and manufacturer’s subsidy rates. We identify key drivers that influence the optimal subsidy rates and, in particular, obtain the conditions under which the manufacturer will not support the retailers. For the special case of two retailers we obtain insights on some key supply chain issues. First, we analyze its impact on profits of channel members and the extent to which it can coordinate the channel. Second, we investigate the case of an anti-discrimination act which restricts the manufacturer to offer equal subsidy rates to the two retailers. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • 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.
    • Handle: RePEc:spr:dyngam:v:2:y:2012:i:4:p:347-375
    DOI: 10.1007/s13235-012-0053-8
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s13235-012-0053-8
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s13235-012-0053-8?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. 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.
    2. A. Prasad & S. P. Sethi, 2004. "Competitive Advertising Under Uncertainty: A Stochastic Differential Game Approach," Journal of Optimization Theory and Applications, Springer, vol. 123(1), pages 163-185, October.
    3. Kenneth R. Deal, 1979. "Optimizing Advertising Expenditures in a Dynamic Duopoly," Operations Research, INFORMS, vol. 27(4), pages 682-692, August.
    4. Matthew Nagler, 2006. "An exploratory analysis of the determinants of cooperative advertising participation rates," Marketing Letters, Springer, vol. 17(2), pages 91-102, April.
    5. 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.
    6. Pradeep K. Chintagunta & Dipak C. Jain, 1995. "Empirical Analysis of a Dynamic Duopoly Model of Competition," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(1), pages 109-131, March.
    7. Raja Kali, 1998. "Minimum Advertised Price," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 7(4), pages 647-668, December.
    8. Alain Haurie & Georges Zaccour (ed.), 2005. "Dynamic Games: Theory and Applications," Springer Books, Springer, number 978-0-387-24602-4, November.
    9. 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.
    10. 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.
    11. M. L. Vidale & H. B. Wolfe, 1957. "An Operations-Research Study of Sales Response to Advertising," Operations Research, INFORMS, vol. 5(3), pages 370-381, June.
    12. Erickson, Gary M., 2009. "An oligopoly model of dynamic advertising competition," European Journal of Operational Research, Elsevier, vol. 197(1), pages 374-388, August.
    13. Gary M. Erickson, 2009. "Advertising Competition in a Dynamic Oligopoly with Multiple Brands," Operations Research, INFORMS, vol. 57(5), pages 1106-1113, October.
    14. 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.
    15. Prasad A. Naik & Ashutosh Prasad & Suresh P. Sethi, 2008. "Building Brand Awareness in Dynamic Oligopoly Markets," Management Science, INFORMS, vol. 54(1), pages 129-138, January.
    16. Sorger, Gerhard, 1989. "Competitive dynamic advertising : A modification of the Case game," Journal of Economic Dynamics and Control, Elsevier, vol. 13(1), pages 55-80, January.
    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. Agnieszka Wiszniewska-Matyszkiel & Marek Bodnar & Fryderyk Mirota, 2015. "Dynamic Oligopoly with Sticky Prices: Off-Steady-state Analysis," Dynamic Games and Applications, Springer, vol. 5(4), pages 568-598, December.
    2. Gou, Qinglong & Shao, Jing & Wang, Xin & Yu, Lili, 2020. "Co-op supply chains with a local media company: Models and analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 136(C).
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Gerhard Aust & Udo Buscher, 2016. "Game theoretic analysis of pricing and vertical cooperative advertising of a retailer-duopoly with a common manufacturer," 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. 24(1), pages 127-147, March.
    8. Zhou, Yong-Wu & Li, Jicai & Zhong, Yuanguang, 2018. "Cooperative advertising and ordering policies in a two-echelon supply chain with risk-averse agents," Omega, Elsevier, vol. 75(C), pages 97-117.

    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. 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.
    2. 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.
    3. 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.
    4. Yanwu Yang & Baozhu Feng & Joni Salminen & Bernard J. Jansen, 2022. "Optimal advertising for a generalized Vidale–Wolfe response model," Electronic Commerce Research, Springer, vol. 22(4), pages 1275-1305, December.
    5. 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.
    6. 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.
    7. 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.
    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. 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.
    10. 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.
    11. Mohammad Kazem Sayadi & Ahmad Makui, 2014. "Feedback Nash Equilibrium for Dynamic Brand and Channel Advertising in Dual Channel Supply Chain," Journal of Optimization Theory and Applications, Springer, vol. 161(3), pages 1012-1021, June.
    12. Dengpan Liu & Subodha Kumar & Vijay S. Mookerjee, 2020. "Flexible and Committed Advertising Contracts in Electronic Retailing," Information Systems Research, INFORMS, vol. 31(2), pages 323-339, June.
    13. 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.
    14. Gary M. Erickson, 2009. "Advertising Competition in a Dynamic Oligopoly with Multiple Brands," Operations Research, INFORMS, vol. 57(5), pages 1106-1113, October.
    15. Guidolin, Mariangela & Guseo, Renato, 2015. "Technological change in the U.S. music industry: Within-product, cross-product and churn effects between competing blockbusters," Technological Forecasting and Social Change, Elsevier, vol. 99(C), pages 35-46.
    16. Dengpan Liu & Subodha Kumar & Vijay S. Mookerjee, 2012. "Advertising Strategies in Electronic Retailing: A Differential Games Approach," Information Systems Research, INFORMS, vol. 23(3-part-2), pages 903-917, September.
    17. Dengpan Liu & Yong Tan & Vijay Mookerjee, 2018. "When Ignorance Can Be Bliss: Organizational Structure and Coordination in Electronic Retailing," Information Systems Research, INFORMS, vol. 29(1), pages 70-83, March.
    18. Frank M. Bass & Anand Krishnamoorthy & Ashutosh Prasad & Suresh P. Sethi, 2005. "Generic and Brand Advertising Strategies in a Dynamic Duopoly," Marketing Science, INFORMS, vol. 24(4), pages 556-568, February.
    19. 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.
    20. Alderighi, Marco & Bianchi, Carluccio & Lorenzini, Eleonora, 2016. "The impact of local food specialities on the decision to (re)visit a tourist destination: Market-expanding or business-stealing?," Tourism Management, Elsevier, vol. 57(C), pages 323-333.

    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:dyngam:v:2:y:2012:i:4:p:347-375. 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.