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Feedback Stackelberg equilibrium strategies when the private label competes with the national brand

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  • Nawel Amrouche
  • Guiomar Martín-Herrán
  • Georges Zaccour

Abstract

We consider a noncooperative differential game where a retailer sells her own private label in addition to the manufacturer’s brand. We assume that each brand’s goodwill evolves according to a modified Nerlove-Arrow dynamics, in such a way that the advertising effort of one brand hurts the competitor’s goodwill stock. We characterize Feedback-Stackelberg pricing and advertising strategies and employ simulations to analyze their sensitivity to the main model parameters. Copyright Springer Science+Business Media, LLC 2008

Suggested Citation

  • Nawel Amrouche & Guiomar Martín-Herrán & Georges Zaccour, 2008. "Feedback Stackelberg equilibrium strategies when the private label competes with the national brand," Annals of Operations Research, Springer, vol. 164(1), pages 79-95, November.
    • Handle: RePEc:spr:annopr:v:164:y:2008:i:1:p:79-95:10.1007/s10479-008-0320-7
    DOI: 10.1007/s10479-008-0320-7
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    2. 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.
    3. 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.
    4. Konstantin Kogan & Avi Herbon & Beatrice Venturi, 2020. "Direct marketing of an event under hazards of customer saturation and forgetting," Annals of Operations Research, Springer, vol. 295(1), pages 207-227, December.
    5. Chan Choi, S., 2017. "Defensive strategy against a private label: Building brand premium for retailer cooperation," Journal of Retailing and Consumer Services, Elsevier, vol. 34(C), pages 335-339.
    6. Michael Caputo & Chen Ling, 2015. "Intrinsic Comparative Dynamics of Locally Differentiable Feedback Stackelberg Equilibria," Dynamic Games and Applications, Springer, vol. 5(1), pages 1-25, March.
    7. Qi Chen & Qi Xu & Cui Wu, 2019. "Dynamic Matching in Cloud Manufacturing considering Matching Costs," Complexity, Hindawi, vol. 2019, pages 1-16, July.
    8. B. Viscolani & G. Zaccour, 2009. "Advertising Strategies in a Differential Game with Negative Competitor’s Interference," Journal of Optimization Theory and Applications, Springer, vol. 140(1), pages 153-170, January.
    9. Qi Chen & Qi Xu, 0. "Joint optimal pricing and advertising policies in a fashion supply chain under the ODM strategy considering fashion level and goodwill," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-31.
    10. Gustav Feichtinger & Richard F. Hartl & Peter M. Kort & Andrea Seidl & Stefan Wrzaczek, 2022. "Asymmetric Information in a Capital Accumulation Differential Game with Spillover and Learning Effects," Journal of Optimization Theory and Applications, Springer, vol. 194(3), pages 878-895, September.
    11. 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.
    12. Yongyi Zhou & Yulin Zhang & M.I.M. Wahab, 2022. "Optimal pricing and choice of platform advertising schemes considering across‐side network effect," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(4), pages 1059-1079, June.
    13. Pietro Giovanni, 2014. "Environmental collaboration in a closed-loop supply chain with a reverse revenue sharing contract," Annals of Operations Research, Springer, vol. 220(1), pages 135-157, September.

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