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Market Diffusion with Two-Sided Learning

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Abstract

The diffusion of a new product of uncertain value is analyzed in a duopolistic market in continuous time. The two sides of the market, buyers and sellers, learn the true value of the new product over time as a result of experimentation. Buyers have heterogeneous preferences over the products and sellers compete in prices. The pricing policies and market shares of the sellers in the unique Markov perfect equilibrium are obtained explicitly. The dynamics of the equilibrium market shares display excessive sales of the new product relative to the social optimum in early stages and too low sales later on. The dynamic resolution of uncertainty implies ex post differentiation and hence both sellers value information positively. As information is generated only by experiments with the new product, this relaxes the price competition in the dynamic setting. Finally, the diffusion path of a successful product is shown to be S-shaped.

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File URL: http://cowles.econ.yale.edu/P/cd/d11a/d1138.pdf
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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1138.

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Length: 43 pages
Date of creation: Nov 1996
Date of revision:
Handle: RePEc:cwl:cwldpp:1138

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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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Keywords: Dynamic duopoly; learning; market shares; diffusion;

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References

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  1. Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
  2. Judd, Kenneth L & Riordan, Michael H, 1994. "Price and Quality in a New Product Monopoly," Review of Economic Studies, Wiley Blackwell, vol. 61(4), pages 773-89, October.
  3. Jullien Bruno & Aghion Philippe & Paz Espinoza M, 1990. "Dynamic duopoly with learning through market experimentation," CEPREMAP Working Papers (Couverture Orange) 9012, CEPREMAP.
  4. Ramon Caminal & Xavier Vives, 1996. "Why Market Shares Matter: An Information-Based Theory," RAND Journal of Economics, The RAND Corporation, vol. 27(2), pages 221-239, Summer.
  5. Shaked, Avner & Sutton, John, 1982. "Relaxing Price Competition through Product Differentiation," Review of Economic Studies, Wiley Blackwell, vol. 49(1), pages 3-13, January.
  6. Dutta, P.K., 1991. "What Do Discounted Optima Converge To? A Theory of Discount Rate Asymptotics in Economic Models," RCER Working Papers 264, University of Rochester - Center for Economic Research (RCER).
  7. Gort, Michael & Klepper, Steven, 1982. "Time Paths in the Diffusion of Product Innovations," Economic Journal, Royal Economic Society, vol. 92(367), pages 630-53, September.
  8. Dirk Bergemann & Juuso Valimaki, 1996. "Market Experimentation and Pricing," Cowles Foundation Discussion Papers 1122, Cowles Foundation for Research in Economics, Yale University.
  9. Harrington Jr. , Joseph E., 1995. "Experimentation and Learning in a Differentiated-Products Duopoly," Journal of Economic Theory, Elsevier, vol. 66(1), pages 275-288, June.
  10. Rob, Rafael, 1991. "Learning and Capacity Expansion under Demand Uncertainty," Review of Economic Studies, Wiley Blackwell, vol. 58(4), pages 655-75, July.
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