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Incomplete third-degree price discrimination, and market partition problem


  • Yann Braouezec

    () (ESILV)


We introduce in this paper the "incomplete" third-degree price discrimination, which is the situation where a monopolist must charge at most k different prices while the total market is composed of n markets, with n>k. We thus study the optimal partition problem of the n markets in k groups. As a byproduct, when k=2, we are able to reconsider the so-called (Robinsonian) weak-strong partition.

Suggested Citation

  • Yann Braouezec, 2009. "Incomplete third-degree price discrimination, and market partition problem," Economics Bulletin, AccessEcon, vol. 29(4), pages 2908-2917.
  • Handle: RePEc:ebl:ecbull:eb-09-00580

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    References listed on IDEAS

    1. Simon GB Cowan & Simon Cowan, 2008. "When does third-degree price discrimination reduce social welfare, and when does it raise it?," Economics Series Working Papers 410, University of Oxford, Department of Economics.
    2. Breton, M. le & Weber, S., 1992. "Stability of Coalition Structures and the Principle of Optimal Partitioning," Papers 93-6, York (Canada) - Department of Economics.
    3. Schmalensee, Richard, 1981. "Output and Welfare Implications of Monopolistic Third-Degree Price Discrimination," American Economic Review, American Economic Association, vol. 71(1), pages 242-247, March.
    4. Layson, Stephen K, 1994. "Market Opening under Third-Degree Price Discrimination," Journal of Industrial Economics, Wiley Blackwell, vol. 42(3), pages 335-340, September.
    5. Varian, Hal R., 1989. "Price discrimination," Handbook of Industrial Organization,in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 10, pages 597-654 Elsevier.
    6. Varian, Hal R, 1985. "Price Discrimination and Social Welfare," American Economic Review, American Economic Association, vol. 75(4), pages 870-875, September.
    7. Moulin, Herve, 1994. "Social choice," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 31, pages 1091-1125 Elsevier.
    8. Malueg, David A, 1993. "Bounding the Welfare Effects of Third-Degree Price Discrimination," American Economic Review, American Economic Association, vol. 83(4), pages 1011-1021, September.
    9. Nahata, Babu & Ostaszewski, Krzysztof & Sahoo, P K, 1990. "Direction of Price Changes in Third-Degree Price Discrimination," American Economic Review, American Economic Association, vol. 80(5), pages 1254-1258, December.
    10. Maurice Salles, 2005. "Social Choice," Post-Print halshs-00337075, HAL.
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    More about this item


    Price discrimination; monopoly; decentralized decision process; optimal partition problem; profit maximization;

    JEL classification:

    • L0 - Industrial Organization - - General
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance


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