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The quantitative view of Myerson regularity

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  • Schweizer, Nikolaus
  • Szech, Nora

Abstract

In mechanism design, Myerson regularity is often too weak for a quantitative analysis of performance. For instance, ratios between revenue and welfare, or sales probabilities may vanish at the boundary of Myerson regularity. This paper therefore explores the quantitative version of Myerson regularity, which we call λ-regularity. It measures how Myerson regular a distribution is. In doing so, we unify separate literatures in economics, computer science, applied mathematics and statistics. The concept has appeared before, e.g., under the names of ρ-concavity and α-strong-regularity. We provide many new results for quantitative auction and mechanism design.

Suggested Citation

  • Schweizer, Nikolaus & Szech, Nora, 2015. "The quantitative view of Myerson regularity," Discussion Papers, Research Unit: Economics of Change SP II 2015-307, WZB Berlin Social Science Center.
    • Handle: RePEc:zbw:wzbeoc:spii2015307
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    References listed on IDEAS

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    Cited by:

    1. Amine Allouah & Omar Besbes, 2020. "Prior-Independent Optimal Auctions," Management Science, INFORMS, vol. 66(10), pages 4417-4432, October.

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    More about this item

    Keywords

    lambda-regularity; Myerson regularity; monotone hazard rate; auctions; mechanism design; approximation;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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