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Uniform Pricing versus Third-Degree Price Discrimination

Author

Listed:
  • Bergemann, Dirk
  • Castro, Francisco
  • Weintraub, Gabriel

    (Stanford U)

Abstract

We compare the revenue of the optimal third-degree price discrimination policy against a uniform pricing policy. A uniform pricing policy offers the same price to all segments of the market. Our main result establishes that for a broad class of third-degree price discrimination problems with concave revenue functions and common support, a uniform price is guaranteed to achieve one-half of the optimal monopoly proï¬ ts. This revenue bound holds for any arbitrary number of segments and prices that the seller would use in case he would engage in third-degree price discrimination. We further establish that these conditions are tight and that a weakening of common support or concavity leads to arbitrarily poor revenue comparisons.

Suggested Citation

  • Bergemann, Dirk & Castro, Francisco & Weintraub, Gabriel, 2020. "Uniform Pricing versus Third-Degree Price Discrimination," Research Papers 3860, Stanford University, Graduate School of Business.
    • Handle: RePEc:ecl:stabus:3860
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    File URL: https://www.gsb.stanford.edu/gsb-cmis/gsb-cmis-download-auth/494331
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    Cited by:

    1. Guillermo Gallego & Gerardo Berbeglia, 2021. "Bounds and Heuristics for Multi-Product Personalized Pricing," Papers 2102.03038, arXiv.org, revised Feb 2021.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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