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Product innovation and imitation in a duopoly with differentiation by attributes


  • Reynald-Alexandre Laurent

    (PJSE - Paris-Jourdan Sciences Economiques - ENS Paris - École normale supérieure - Paris - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics)


This paper considers a probabilistic duopoly in which products are described by their specific attributes, this form of differentiation embodying the horizontal and vertical dimensions. Consumers make discrete choices and follow a random decision rule based on these attributes. A three-stage game is studied in which firms develop new attributes for their products (innovation), then may imitate the attributes of the competing product and finally compete in price. At the equilibrium, the firm selling the less appreciated product is generally incited to imitate its rival. Confronted to a threat of imitation, the benchmark firm sometimes decreases strategically its attribute index in order to diminish its unit cost of innovation and the differentiation on the market, deterring the imitation in this way. This strategy is efficient when imitation costs are sufficiently concave. In the opposite case, it is preferable for the benchmark firm to accept the imitation. Thus, according to the shape of imitation costs, equilibria with "deterrence" or with "accommodation" "accommodation" occur, completing the current typology of strategic responses to a threat of imitation.

Suggested Citation

  • Reynald-Alexandre Laurent, 2008. "Product innovation and imitation in a duopoly with differentiation by attributes," PSE Working Papers halshs-00586867, HAL.
  • Handle: RePEc:hal:psewpa:halshs-00586867
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    References listed on IDEAS

    1. Gary-Bobo, Robert J., 1989. "Cournot-Walras and locally consistent equilibria," Journal of Economic Theory, Elsevier, vol. 49(1), pages 10-32, October.
    2. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-1150, September.
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    quality choices; differentiation by attributes; product innovation; product imitation;

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