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Mechanism Design with Limited Information: The Case of Nonlinear Pricing

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Abstract

We analyze the canonical nonlinear pricing model with limited information. A seller offers a menu with a finite number of choices to a continuum of buyers with a continuum of possible valuations. By revealing an underlying connection to quantization theory, we derive the optimal finite menu for the socially efficient and the revenue-maximizing mechanism. In both cases, we provide an estimate of the loss resulting from the usage of a finite n-class menu. We show that the losses converge to zero at a rate proportional to 1/n^2 as n becomes large.

Suggested Citation

  • Dirk Bergemann & Ji Shen & Yun Xu & Edmund M. Yeh, 2010. "Mechanism Design with Limited Information: The Case of Nonlinear Pricing," Cowles Foundation Discussion Papers 1775, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:1775
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d17/d1775.pdf
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    Cited by:

    1. Dirk Bergemann & Ji Shen & Yun Xu & Edmund M. Yeh, 2012. "Multi-dimensional Mechanism Design with Limited Information," Cowles Foundation Discussion Papers 1859, Cowles Foundation for Research in Economics, Yale University.

    More about this item

    Keywords

    Mechanism design; Limited information; Nonlinear pricing; Quantization; Lloyd-max optimality;
    All these keywords.

    JEL classification:

    • 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
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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