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Dynamic Strategic Pricing and Speed of Diffusion

Author

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  • E. J. Dockner

    (University of Vienna)

  • G. E. Fruchter

    (Bar-Ilan University)

Abstract

Defining speed of diffusion as the amount of time it takes to get from one penetration level to a higher one, we introduce a dynamic model in which we study the link between pricing policy, speed of diffusion, and number of competitors in the market. Our analysis shows that, in the case of strategic (oligopolistic) competition, the speed of diffusion has an important influence on the optimal pricing policy. In particular, we find that higher speeds of diffusion create an incentive to strategically interacting firms to lower their prices.

Suggested Citation

  • E. J. Dockner & G. E. Fruchter, 2004. "Dynamic Strategic Pricing and Speed of Diffusion," Journal of Optimization Theory and Applications, Springer, vol. 123(2), pages 331-348, November.
  • Handle: RePEc:spr:joptap:v:123:y:2004:i:2:d:10.1007_s10957-004-5152-2
    DOI: 10.1007/s10957-004-5152-2
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    References listed on IDEAS

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    1. Shlomo Kalish, 1983. "Monopolist Pricing with Dynamic Demand and Production Cost," Marketing Science, INFORMS, vol. 2(2), pages 135-159.
    2. Fernando Nascimento & Wilfried R. Vanhonacker, 1988. "Optimal Strategic Pricing of Reproducible Consumer Products," Management Science, INFORMS, vol. 34(8), pages 921-937, August.
    3. Jehoshua Eliashberg & Abel P. Jeuland, 1986. "The Impact of Competitive Entry in a Developing Market Upon Dynamic Pricing Strategies," Marketing Science, INFORMS, vol. 5(1), pages 20-36.
    4. Frank M. Bass, 1969. "A New Product Growth for Model Consumer Durables," Management Science, INFORMS, vol. 15(5), pages 215-227, January.
    5. Vijay Mahajan & Eitan Muller, 1986. "Advertising Pulsing Policies for Generating Awareness for New Products," Marketing Science, INFORMS, vol. 5(2), pages 89-106.
    6. Engelbert Dockner & Steffen Jørgensen, 1988. "Optimal Pricing Strategies for New Products in Dynamic Oligopolies," Marketing Science, INFORMS, vol. 7(4), pages 315-334.
    7. Vijay Mahajan & Eitan Muller, 1986. "Reply—Reflections on Advertising Pulsing Policies for Generating Awareness for New Products," Marketing Science, INFORMS, vol. 5(2), pages 110-111.
    8. Dockner, Engelbert J. & Gaunersdorfer, Andrea, 1996. "Strategic new product pricing when demand obeys saturation effects," European Journal of Operational Research, Elsevier, vol. 90(3), pages 589-598, May.
    9. Gerald L. Thompson & Jinn-Tsair Teng, 1984. "Optimal Pricing and Advertising Policies for New Product Oligopoly Models," Marketing Science, INFORMS, vol. 3(2), pages 148-168.
    10. Christophe Van den Bulte, 2000. "New Product Diffusion Acceleration: Measurement and Analysis," Marketing Science, INFORMS, vol. 19(4), pages 366-380, June.
    11. Clarke, Frank H & Darrough, Masako N & Heineke, John M, 1982. "Optimal Pricing Policy in the Presence of Experience Effects," The Journal of Business, University of Chicago Press, vol. 55(4), pages 517-530, October.
    12. Dan Horsky & Leonard S. Simon, 1983. "Advertising and the Diffusion of New Products," Marketing Science, INFORMS, vol. 2(1), pages 1-17.
    13. Kotowitz, Y & Mathewson, F, 1979. "Informative Advertising and Welfare," American Economic Review, American Economic Association, vol. 69(3), pages 284-294, June.
    14. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329.
    15. Shlomo Kalish, 1985. "A New Product Adoption Model with Price, Advertising, and Uncertainty," Management Science, INFORMS, vol. 31(12), pages 1569-1585, December.
    16. Bruce Robinson & Chet Lakhani, 1975. "Dynamic Price Models for New-Product Planning," Management Science, INFORMS, vol. 21(10), pages 1113-1122, June.
    17. Anirudh Dhebar & Shmuel S. Oren, 1985. "Optimal Dynamic Pricing For Expanding Networks," Marketing Science, INFORMS, vol. 4(4), pages 336-351.
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    Cited by:

    1. Rubel, Olivier, 2013. "Stochastic competitive entries and dynamic pricing," European Journal of Operational Research, Elsevier, vol. 231(2), pages 381-392.
    2. G. E. Fruchter, 2008. "Dual-Role Based Pricing in a Dynamic and Competitive Environment," Journal of Optimization Theory and Applications, Springer, vol. 138(1), pages 27-44, July.
    3. Kumar, Subodha & Sethi, Suresh P., 2009. "Dynamic pricing and advertising for web content providers," European Journal of Operational Research, Elsevier, vol. 197(3), pages 924-944, September.
    4. Imoleayo Foyeke Obigbemi, 2010. "The Impact of Product Price Changes on the Turnover of Small and Medium Enterprises in Nigeria," BRAND. Broad Research in Accounting, Negotiation, and Distribution, EduSoft Publishing, vol. 1(1), pages 60-79, September.
    5. Marius F. Niculescu & Seungjin Whang, 2012. "Research Note ---Codiffusion of Wireless Voice and Data Services: An Empirical Analysis of the Japanese Mobile Telecommunications Market," Information Systems Research, INFORMS, vol. 23(1), pages 260-279, March.
    6. Steffen Jørgensen & Georges Zaccour, 2007. "Developments in differential game theory and numerical methods: economic and management applications," Computational Management Science, Springer, vol. 4(2), pages 159-181, April.

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