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Percolation-Based Model of New-Product Diffusion with Macroscopic Feedback Effects

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  • Martin Hohnisch
  • Sabine Pittnauer
  • Dietrich Stauffer
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    Abstract

    This paper proposes a percolation-based model of new-product diffusion in the spirit of Solomon et al. (2000) and Goldenberg et al. (2000). A consumer buys the new product if she has formed her individual valuation of the product (reservation price) and if this valuation is greater or equal than the price of the product announced by the firm in a given period. Our model differs from previous percolation-based models of new-product diffusion in two respects. First, we consider macroscopic feedback effects affecting the supply or the demand side of the market (or both). Second, a consumer who did not buy the product in the period in which her valuation was formed remains a potential buyer and buys in some later period if and when her individual valuation equals or exceeds the price of the product. Unlike most previous models of new-product diffusion, our framework accounts for the empirical finding of long tails characteristic for early stages of innovation diffusion.

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    Bibliographic Info

    Paper provided by arXiv.org in its series Papers with number cond-mat/0308358.

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    Date of creation: Aug 2003
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    Handle: RePEc:arx:papers:cond-mat/0308358

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    1. Goldenberg, J & Libai, B & Solomon, S & Jan, N & Stauffer, D, 2000. "Marketing percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 284(1), pages 335-347.
    2. Solomon, Sorin & Weisbuch, Gerard & de Arcangelis, Lucilla & Jan, Naeem & Stauffer, Dietrich, 2000. "Social percolation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 277(1), pages 239-247.
    3. Alan S. Blinder, 1991. "Why are Prices Sticky? Preliminary Results from an Interview Study," NBER Working Papers 3646, National Bureau of Economic Research, Inc.
    4. Katz, Michael L & Shapiro, Carl, 1992. "Product Introduction with Network Externalities," Journal of Industrial Economics, Wiley Blackwell, vol. 40(1), pages 55-83, March.
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