Modelling Product Differentiation: An Application of the Theory of Functional Equations

  • Egbert Dierker
  • Konrad Podczeck


We consider an oligopolistic market for a differentiated product of which several price setting firms offer one brand each. Firms set prices in order to maximize expected profits. Since the existence of equilibria cannot, in general, be shown without appropriate assumptions on the distribution of consumers’ tastes and since such assumptions cannot be expressed without an algebraic structure, we deal with the conceptual difficulty arising from the fact that there is no natural algebraic structure a priori given on consumers’ tastes. A result on functional equations taken from Eichhorn (1978) is used in order to characterize an algebraic structure lending itself to the formulation of suitable assumptions on the distribution of consumers’ tastes.


Functional Equation Algebraic Structure Linear Structure Expected Profit Discrete Choice Model 
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Copyright information

© Springer-Verlag Berlin · Heidelberg 1993

Authors and Affiliations

  • Egbert Dierker
  • Konrad Podczeck
    • 1
  1. 1.Department of EconomicsUniversity of ViennaViennaAustria

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