Skip to main content
Log in

A network modeling approach for the optimization of Internet-based advertising strategies and pricing with a quantitative explanation of two paradoxes

  • Published:
NETNOMICS: Economic Research and Electronic Networking Aims and scope Submit manuscript

Abstract

This paper addresses the determination and evaluation of optimal Internet marketing strategies when a firm is advertising on multiple websites. An optimization model is constructed for the determination of the optimal amount of click-throughs subject to a budget constraint. The underlying network structure of the problem is then revealed and exploited to obtain both qualitative properties of the solution pattern as well as computational procedures. In addition, three different pricing schemes used in Internet marketing are quantitatively compared and indices that can guide marketers to shift from one scheme to another are proposed. Finally, two numerical examples are constructed that demonstrate two paradoxes: (1) that advertising on more websites may reduce the total responses and (2) that advertising on more websites may reduce the click-through rate. Through the analysis of the network model, such puzzling phenomena are then quantitatively explained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Ahuja, T.L. Magnanti and J.B. Orlin, Network Flows: Theory, Algorithms, and Applications (Prentice-Hall, Upper Saddle River, New Jersey, 1993).

    Google Scholar 

  2. L. Baker, Adverse Perceptions Mask Compelling Realities, Salomon Smith Barney's Analyst Report, September, 2000.

  3. D.P. Bertsekas and J.N. Tsitsiklis, Parallel and Distributed Computation (Prentice-Hall, Englewood Cliffs, New Jersey, 1989).

    Google Scholar 

  4. C. Bicknell, Net Ad Rates Continue to Fall. Wired News (January 25, 1999). http://www.wird.com/news/business/story/17520.html.

  5. D. Braess, Uber ein Paradoxon der Verkehrsplanung, Unternehmensforschung 12 (1968) 258–268.

    Article  Google Scholar 

  6. P. Chatterjee, D.L. Hoffman and T.P. Novak, Modeling the clickstream: Implications for web-based advertising efforts, Mark. Sci. 22 (2003) 520–541.

    Article  Google Scholar 

  7. S. Dafermos, The traffic assignment problem for transportation networks, Transp. Sci. 6 (1972) 73–78.

    Article  Google Scholar 

  8. S. Dafermos, An iterative scheme for variational inequalities, Math. Program. 26 (1983) 40–47.

    Google Scholar 

  9. S. Dafermos and A. Nagurney, On some traffic equilibrium theory paradoxes, Transp. Res. B 18 (1984) 101–110.

    Article  Google Scholar 

  10. S.C. Dafermos and F.T. Sparrow, The traffic assignment problem for a general network, J. Res. Natl. Bur. Stand. 73B (1969) 91–118.

    Google Scholar 

  11. “Double Click 2002 Marketing Spending Index,” (2002) doubleclick.com.

  12. “Double Click Q1 2004 Email Trend Report,” May (2004), doubleclick.com.

  13. N. Elliott and N. Scevak, Online Advertising Through 2009, Jupiter Research, www.jupiterresearch.com.

  14. F.S. Hillier and G.J. Lieberman, Introduction to Operations Research (McGraw-Hill, New York, New York, 1985).

    Google Scholar 

  15. Y.A. Korilis, A.A. Lazar and A. Orda, Avoiding the Braess paradox in non-cooperative networks, J. Appl. Probab. 36 (1999) 211–222.

    Article  Google Scholar 

  16. Y. Liu, D.S. Putler and C.B. Weinberg, Is having more channels really better? A model of competition among commercial television broadcasters, Mark. Sci. 23 (2003) 120–133.

    Article  Google Scholar 

  17. S. McKelvey, Braess's Paradox: A puzzler from applied network analysis, J. Undergrad. Math. Appl. 13 (1992) 303–312.

    Google Scholar 

  18. A. Nagurney, Network Economics: A Variational Inequality Approach, 2nd and revised edition (Kluwer, Dordrecht, The Netherlands, 1999).

    Google Scholar 

  19. A. Nagurney, Sustainable Transportation Networks (Edward Elgar Publishing, Cheltenham, England, 2000).

    Google Scholar 

  20. A. Nagurney, ed., Innovations in Financial and Economic Networks (Edward Elgar Publishing, Cheltenham, England, 2003).

  21. A. Nagurney and J. Dong, Supernetworks: Decision-Making for the Information Age (Edward Elgar Publishing, Cheltenham, England, 2002).

    Google Scholar 

  22. A. Nagurney, J. Dong and D. Zhang, A supply chain network equilibrium model, Transp. Res. E 38 (2002) 281–303.

    Google Scholar 

  23. A. Nagurney, J. Loo, J. Dong, and D. Zhang, Supply chain networks and electronic commerce, Netnomics 4 (2002) 187–220.

    Article  Google Scholar 

  24. A. Nagurney and S. Siokos, Financial Networks: Statics and Dynamics (Springer, Berlin Heidelberg New York, 1997).

    Google Scholar 

  25. Y.-H. Park and P. Fader, Modeling browsing behavior at multiple websites, Mark. Sci. 23 (2004) 280–303.

    Article  Google Scholar 

  26. L. Shen, Debunking Banner Click-Through Myths. ClickZ Network -Solution for Marketers, http://www.clickz.com/, October 30, 2000.

  27. L. Zhao and S. Dafermos, General economic equilibrium and variational inequalities, Oper. Res. Lett. 10 (1991) 369–376.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anna Nagurney.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhao, L., Nagurney, A. A network modeling approach for the optimization of Internet-based advertising strategies and pricing with a quantitative explanation of two paradoxes. Netnomics 7, 97–114 (2005). https://doi.org/10.1007/s11066-006-9006-y

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11066-006-9006-y

Keywords

Navigation