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- A Difficulty With The Address Models Of Product Differentiation

  • Martin Peitz

    (Universidad de Alicante)

In models of product differentiation and location models it is implicitly assumed that consumers can afford to buy the differentiated goods in the market. I show that with income heterogeneity there are severe existence problems of a price equilibrium in models of horizontal product differentiation with unit demand because some consumers are income-constrained. The result generalizes to other models of product differentiation, search, and switching costs. I present an alternative specification of variable individual demand in which this kind of existence problem cannot arise.

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File Function: Fisrt version / Primera version, 1998
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Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1998-21.

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Length: 14 pages
Date of creation: Sep 1998
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1998-21
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  1. Economides, Nicholas, 1989. "Symmetric equilibrium existence and optimality in differentiated product markets," Journal of Economic Theory, Elsevier, vol. 47(1), pages 178-194, February.
  2. Peitz, Martin, 1995. "Utility maximization in models of discrete choice," Economics Letters, Elsevier, vol. 49(1), pages 91-94, July.
  3. Beath,John & Katsoulacos,Yannis, 1991. "The Economic Theory of Product Differentiation," Cambridge Books, Cambridge University Press, number 9780521335522, November.
  4. Cremer, Helmuth & Thisse, Jacques-Francois, 1991. "Location Models of Horizontal Differentiation: A Special Case of Vertical Differentiation Models," Journal of Industrial Economics, Wiley Blackwell, vol. 39(4), pages 383-90, June.
  5. Peitz, Martin, 1997. "Differentiated Bertrand duopoly with variable demand," Research in Economics, Elsevier, vol. 51(2), pages 85-100, June.
  6. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
  7. Martin Peitz, 1998. "- Two-Stage Models Of Product Differentiation With Unit-Elastic Demand," Working Papers. Serie AD 1998-18, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  8. Jaskold Gabszewicz, J. & Thisse, J. -F., 1979. "Price competition, quality and income disparities," Journal of Economic Theory, Elsevier, vol. 20(3), pages 340-359, June.
  9. Economides, Nicholas, 1984. "The principle of minimum differentiation revisited," European Economic Review, Elsevier, vol. 24(3), pages 345-368, April.
  10. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
  11. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-50, September.
  12. Andrew Caplin & Barry Nalebuff, 1990. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Cowles Foundation Discussion Papers 937, Cowles Foundation for Research in Economics, Yale University.
  13. Bockem, Sabine, 1994. "A Generalized Model of Horizontal Product Differentiation," Journal of Industrial Economics, Wiley Blackwell, vol. 42(3), pages 287-98, September.
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