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Imposing Monotonicity Nonparametrically in First-Price Auctions

Author

Listed:
  • Henderson, Daniel J.
  • List, John A.
  • Millimet, Daniel L.
  • Parmeter, Christopher F.
  • Price, Michael K.

Abstract

Monotonicity of the equilibrium bidding strategy is a key property of structural auction models. Traditional nonparametric estimators provide a flexible means of uncovering salient features of auction data, but do not formally impose the monotonicity assumption that is inherent in the models during estimation. Here, we develop a nonparametric estimator which imposes the monotonicity assumption. We accomplish this by employing the constraint weighted bootstrapping theory developed in the statistics literature. The finite sample performance of our estimator is examined using simulated data, experimental data, as well as a naturally occurring data set composed of thousands of bids from Canadian timber auctions.

Suggested Citation

  • Henderson, Daniel J. & List, John A. & Millimet, Daniel L. & Parmeter, Christopher F. & Price, Michael K., 2008. "Imposing Monotonicity Nonparametrically in First-Price Auctions," MPRA Paper 8769, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:8769
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    References listed on IDEAS

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    Cited by:

    1. Daniel J. Henderson & Christopher F. Parmeter, 2009. "Imposing economic constraints in nonparametric regression: survey, implementation, and extension," Advances in Econometrics, in: Nonparametric Econometric Methods, pages 433-469, Emerald Group Publishing Limited.
    2. Pietro Ortoleva & Erik Snowberg, 2015. "Overconfidence in Political Behavior," American Economic Review, American Economic Association, vol. 105(2), pages 504-535, February.
    3. Canale, Antonio & Vantini, Simone, 2016. "Constrained functional time series: Applications to the Italian gas market," International Journal of Forecasting, Elsevier, vol. 32(4), pages 1340-1351.

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    More about this item

    Keywords

    Constrained Weighted Bootstrap; Bandwidth; Equilibrium Bidding Strategy;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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