IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v36y2008i2p354-358.html

Complex dynamics of the generic and brand advertising strategies in duopoly

Author

Listed:
  • Qi, Jie
  • Ding, Yongsheng
  • Chen, Liang

Abstract

By using the optimal profit adjusting strategies, a dynamic advertising competition model in duopoly is extended from Krishnamurthy’s static model. Both generic and brand effects for advertising are considered. This model can create complex bifurcating and chaotic behavior for the generic advertising efforts, which lead to chaotic dynamics for the brand advertising and even for the whole system. The asymptotic properties of the symmetric system and the asymmetric system are also investigated, which reflect interactions between the two firms’ advertising strategies and relationships between the brand and the generic advertising expenditures.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:2:p:354-358
    DOI: 10.1016/j.chaos.2006.06.054
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906006382
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.06.054?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

    for a different version of it.

    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. 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.
    3. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    4. 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.
    5. Pradeep K. Chintagunta & Naufel J. Vilcassim, 1992. "An Empirical Investigation of Advertising Strategies in a Dynamic Duopoly," Management Science, INFORMS, vol. 38(9), pages 1230-1244, September.
    6. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, December.
    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. Yuanfang Lin & Sandeep Krishnamurthy, 2017. "Generic and Brand Advertising Strategies Under Inter-Industry Competition," Customer Needs and Solutions, Springer;Institute for Sustainable Innovation and Growth (iSIG), vol. 4(1), pages 18-27, September.

    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. Wang, Qinan & Wu, Zhang, 2001. "A duopolistic model of dynamic competitive advertising," European Journal of Operational Research, Elsevier, vol. 128(1), pages 213-226, January.
    2. 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.
    3. 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.
    4. 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.
    5. Galbiati, Marco & Soramäki, Kimmo, 2011. "An agent-based model of payment systems," Journal of Economic Dynamics and Control, Elsevier, vol. 35(6), pages 859-875, June.
    6. Ianni, A., 2002. "Reinforcement learning and the power law of practice: some analytical results," Discussion Paper Series In Economics And Econometrics 203, Economics Division, School of Social Sciences, University of Southampton.
    7. Benaïm, Michel & Hofbauer, Josef & Hopkins, Ed, 2009. "Learning in games with unstable equilibria," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1694-1709, July.
    8. William L. Cooper & Tito Homem-de-Mello & Anton J. Kleywegt, 2015. "Learning and Pricing with Models That Do Not Explicitly Incorporate Competition," Operations Research, INFORMS, vol. 63(1), pages 86-103, February.
    9. repec:osf:osfxxx:9vm5t_v1 is not listed on IDEAS
    10. Ball, Richard, 2017. "Violations of monotonicity in evolutionary models with sample-based beliefs," Economics Letters, Elsevier, vol. 152(C), pages 100-104.
    11. Sandholm,W.H., 2003. "Excess payoff dynamics, potential dynamics, and stable games," Working papers 5, Wisconsin Madison - Social Systems.
    12. Yoo, Seung Han, 2014. "Learning a population distribution," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 188-201.
    13. Mukherjee, Arka & Chauhan, Satyaveer S., 2021. "The impact of product recall on advertising decisions and firm profit while envisioning crisis or being hazard myopic," European Journal of Operational Research, Elsevier, vol. 288(3), pages 953-970.
    14. Ilya R. P. Cuypers & Youtha Cuypers & Xavier Martin, 2017. "When the target may know better: Effects of experience and information asymmetries on value from mergers and acquisitions," Strategic Management Journal, Wiley Blackwell, vol. 38(3), pages 609-625, March.
    15. Mario Gilli, 2002. "Rational Learning in Imperfect Monitoring Games," Working Papers 46, University of Milano-Bicocca, Department of Economics, revised Mar 2002.
    16. Brit Grosskopf & Ido Erev & Eldad Yechiam, 2006. "Foregone with the Wind: Indirect Payoff Information and its Implications for Choice," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(2), pages 285-302, August.
    17. John T. Scholz & Cheng‐Lung Wang, 2009. "Learning to Cooperate: Learning Networks and the Problem of Altruism," American Journal of Political Science, John Wiley & Sons, vol. 53(3), pages 572-587, July.
    18. Jehiel, Philippe, 2005. "Analogy-based expectation equilibrium," Journal of Economic Theory, Elsevier, vol. 123(2), pages 81-104, August.
    19. Jacob K. Goeree & Charles A. Holt, 2001. "Ten Little Treasures of Game Theory and Ten Intuitive Contradictions," American Economic Review, American Economic Association, vol. 91(5), pages 1402-1422, December.
    20. Daron Acemoglu & Matthew O. Jackson, 2015. "History, Expectations, and Leadership in the Evolution of Social Norms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(2), pages 423-456.
    21. Andreas Nicklisch, 2011. "Learning strategic environments: an experimental study of strategy formation and transfer," Theory and Decision, Springer, vol. 71(4), pages 539-558, October.

    More about this item

    Statistics

    Access and download statistics

    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:eee:chsofr:v:36:y:2008:i:2:p:354-358. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.