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Nonparametric Estimation for Regulation Models


  • Andreea Enache
  • Jean-Pierre Florens


This paper presents a nonparametric structural analysis of a class of contract models à la Baron, Myerson, et al. (1982). Our analysis is based on a well-posed inverse problem linking the quantile function of the observations and the functional parameter of interest. The resolution of this problem gives the identification properties of the model and leads to an estimation procedure. We provide implementation and asymptotic properties of this type of L-estimator. We extend our analysis by introducing an instrumental variable estimator of the cost function.

Suggested Citation

  • Andreea Enache & Jean-Pierre Florens, 2018. "Nonparametric Estimation for Regulation Models," Annals of Economics and Statistics, GENES, issue 131, pages 45-58.
  • Handle: RePEc:adr:anecst:y:2018:i:131:p:45-58
    DOI: 10.15609/annaeconstat2009.131.0045

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    Cited by:

    1. Andreea Enache & Jean-Pierre Florens, 2020. "Identification and Estimation in a Third-Price Auction Model," Post-Print hal-02929530, HAL.
    2. Enache, Andreea & Florens, Jean-Pierre, 2020. "Quantile Analysis of "Hazard-Rate" Game Models," TSE Working Papers 20-1117, Toulouse School of Economics (TSE).
    3. Enache, Andreea & Florens, Jean-Pierre & Sbai, Erwann, 2023. "A functional estimation approach to the first-price auction models," Journal of Econometrics, Elsevier, vol. 235(2), pages 1564-1588.
    4. Enache, Andreea & Florens, Jean-Pierre, 2019. "Identification and Estimation in a Third-Price Auction Model," TSE Working Papers 19-989, Toulouse School of Economics (TSE).

    More about this item


    L-functionals; Regulation Models; Principal-Agent Model; Adverse Selection; Nonparametric Statistics; Structural Econometrics.;
    All these keywords.

    JEL classification:

    • C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • L51 - Industrial Organization - - Regulation and Industrial Policy - - - Economics of Regulation


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