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A Mechanism Design Approach to Identification and Estimation

Author

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  • Bradley Larsen
  • Anthony Lee Zhang

Abstract

This paper presents a two-step identification argument for a large class of quasilinear utility trading games, imputing agents' values using revealed preference based on their choices from a convex menu of expected outcomes available in equilibrium. This generalizes many existing two-step approaches in the auctions literature and applies to many cases for which there are no existing tools and where the econometrician may not know the precise rules of the game, such as incomplete-information bargaining settings. We also derive a methodology for settings in which agents' actions are not perfectly observed, bounding menus and agents' utilities based on features of the data that shift agents' imperfectly observed actions. We propose nonparametric value estimation procedures based on our identification results for general trading games. Our procedures can be combined with previously existing tools for handling unobserved heterogeneity and non-independent types. We apply our results to analyze efficiency and surplus division in the complex game played at wholesale used-car auctions, that of a secret reserve price auction followed by sequential bargaining between the seller and high bidder.

Suggested Citation

  • Bradley Larsen & Anthony Lee Zhang, 2018. "A Mechanism Design Approach to Identification and Estimation," NBER Working Papers 24837, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:24837
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    Citations

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    Cited by:

    1. Daiqiang Zhang, 2021. "Testing Passive Versus Symmetric Beliefs In Contracting With Externalities," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(2), pages 723-767, May.
    2. Joris Pinkse & Karl Schurter, 2019. "Estimation of Auction Models with Shape Restrictions," Papers 1912.07466, arXiv.org.
    3. David Bounie & Antoine Dubus & Patrick Waelbroeck, 2022. "Market for Information and Selling Mechanisms," CER-ETH Economics working paper series 22/367, CER-ETH - Center of Economic Research (CER-ETH) at ETH Zurich.
    4. Simon Loertscher & Leslie M. Marx, 2022. "Incomplete Information Bargaining with Applications to Mergers, Investment, and Vertical Integration," American Economic Review, American Economic Association, vol. 112(2), pages 616-649, February.
    5. Matthew Backus & Thomas Blakee & Brad Larsen & Steven Tadelis, 2020. "Sequential Bargaining in the Field: Evidence from Millions of Online Bargaining Interactions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(3), pages 1319-1361.
    6. Marleen Marra, 2020. "Sample Spacings for Identification: The Case of English Auctions with Absentee Bidding," Working Papers hal-03878412, HAL.
    7. Loertscher, Simon & Marx, Leslie M., 2019. "Merger review with intermediate buyer power," International Journal of Industrial Organization, Elsevier, vol. 67(C).
    8. Kirkegaard, René, 2022. "Efficiency in asymmetric auctions with endogenous reserve prices," Games and Economic Behavior, Elsevier, vol. 132(C), pages 234-239.

    More about this item

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • L0 - Industrial Organization - - General

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