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A model of optimal advertising expenditures in a dynamic duopoly

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  • M. Espinosa
  • Petr Mariel

Abstract

This paper develops a dynamic model of oligopolistic advertising competition. The model is general enough to include predatory advertising and informative advertising as particular cases. The analysis is conducted in a differential game framework and compares the open-loop and feedback equilibria to the efficient outcome. It is found that for the informative advertising competition game, advertising levels are closer to the collusive outcomes in a feedback equilibrium. In the case of predatory advertising, expenditures are inefficiently high in a feedback equilibrium and the open-loop solution is more efficient. Copyright International Atlantic Economic Society 2001

Suggested Citation

  • M. Espinosa & Petr Mariel, 2001. "A model of optimal advertising expenditures in a dynamic duopoly," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 29(2), pages 135-161, June.
    • Handle: RePEc:kap:atlecj:v:29:y:2001:i:2:p:135-161
    DOI: 10.1007/BF02299134
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    References listed on IDEAS

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    Cited by:

    1. Engelbert J. Dockner & Steffen Jørgensen, 2018. "Strategic Rivalry for Market Share: A Contest Theory Approach to Dynamic Advertising Competition," Dynamic Games and Applications, Springer, vol. 8(3), pages 468-489, September.
    2. Petr Mariel & Joel Sandonis, 2004. "A model of advertising with application to the German automobile industry," Applied Economics, Taylor & Francis Journals, vol. 36(1), pages 83-92.
    3. Sylvie Tchumtchoua & Ronald W. Cotterill, 2010. "Optimal Brand and Generic Advertising Policies in a Dynamic Differentiated Product Oligopoly," Food Marketing Policy Center Research Reports 126, University of Connecticut, Department of Agricultural and Resource Economics, Charles J. Zwick Center for Food and Resource Policy.
    4. Toker Doganoglu & Daniel Klapper, 2006. "Goodwill and dynamic advertising strategies," Quantitative Marketing and Economics (QME), Springer, vol. 4(1), pages 5-29, March.
    5. Steffen Jørgensen & Simon-Pierre Sigué, 2015. "Defensive, Offensive, and Generic Advertising in a Lanchester Model with Market Growth," Dynamic Games and Applications, Springer, vol. 5(4), pages 523-539, December.
    6. Robert Ridlon, 2016. "Does Manufacturer Advertising Crowd‐in or Crowd‐out Retailer Advertising? An Application of an Endogenous Prize Contest with Asymmetric Players," Southern Economic Journal, John Wiley & Sons, vol. 83(2), pages 364-379, October.
    7. Qi, Jie & Ding, Yongsheng & Chen, Liang, 2008. "Complex dynamics of the generic and brand advertising strategies in duopoly," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 354-358.
    8. 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.
    9. Yan, Ruiliang & Cao, Zixia & Pei, Zhi, 2016. "Manufacturer's cooperative advertising, demand uncertainty, and information sharing," Journal of Business Research, Elsevier, vol. 69(2), pages 709-717.
    10. Cao, Zixia & Yan, Ruiliang, 2021. "Product nutrition, innovation, advertising, and firm’s financial gains," Journal of Business Research, Elsevier, vol. 133(C), pages 13-22.
    11. 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.
    12. 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.
    13. 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.
    14. Amir, Rabah & Machowska, Dominika & Troege, Michael, 2021. "Advertising patterns in a dynamic oligopolistic growing market with decay," Journal of Economic Dynamics and Control, Elsevier, vol. 131(C).

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