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Estimating risk aversion from ascending and sealed-bid auctions: the case of timber auction data

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  • Jingfeng Lu

    (Department of Economics, National University of Singapore)

  • Isabelle Perrigne

    (Department of Economics, Pennsylvania State University, University Park, Pennsylvania, USA)

Abstract

Estimating bidders' risk aversion in auctions is a challenging problem because of identification issues. This paper takes advantage of bidding data from two auction designs to identify nonparametrically the bidders' utility function within a private value framework. In particular, ascending auction data allow one to recover the latent distribution of private values, while first-price sealed-bid auction data allow one to recover the bidders' utility function. This leads to a nonparametric estimator. An application to the US Forest Service timber auctions is proposed. Estimated utility functions display concavity, which can be partly captured by constant relative risk aversion. Copyright © 2008 John Wiley & Sons, Ltd.

Suggested Citation

  • Jingfeng Lu & Isabelle Perrigne, 2008. "Estimating risk aversion from ascending and sealed-bid auctions: the case of timber auction data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(7), pages 871-896.
  • Handle: RePEc:jae:japmet:v:23:y:2008:i:7:p:871-896
    DOI: 10.1002/jae.1032
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    Cited by:

    1. repec:cje:issued:v:50:y:2017:i:5:p:1445-1488 is not listed on IDEAS
    2. Lamy, Laurent, 2012. "The econometrics of auctions with asymmetric anonymous bidders," Journal of Econometrics, Elsevier, vol. 167(1), pages 113-132.
    3. Fang, Hanming & Tang, Xun, 2014. "Inference of bidders’ risk attitudes in ascending auctions with endogenous entry," Journal of Econometrics, Elsevier, vol. 180(2), pages 198-216.
    4. Federico Zincenko, 2016. "Nonparametric Estimation of First-Price Auctions with Risk-Averse Bidders," Working Paper 5855, Department of Economics, University of Pittsburgh.
    5. Jihui Chen & Maochao Xu, 2015. "Asymmetry and revenue in second-price auctions: a majorization approach," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 39(3), pages 625-640, July.
    6. Sokbae Lee & Kyungchul Song & Yoon-Jae Whang, 2014. "Testing For A General Class Of Functional Inequalities," KIER Working Papers 889, Kyoto University, Institute of Economic Research.
    7. Gentry, Matthew & Li, Tong & Lu, Jingfeng, 2015. "Existence of monotone equilibrium in first price auctions with private risk aversion and private initial wealth," Games and Economic Behavior, Elsevier, vol. 94(C), pages 214-221.
    8. repec:eee:forpol:v:80:y:2017:i:c:p:107-115 is not listed on IDEAS
    9. Kim, Dong-Hyuk, 2015. "Nonparametric estimation of utility function in first-price sealed-bid auctions," Economics Letters, Elsevier, vol. 126(C), pages 101-106.
    10. repec:eee:eejocm:v:26:y:2018:i:c:p:48-63 is not listed on IDEAS
    11. Zhang, Yu Yvette, 2017. "A shape constrained estimator of bidding function of first-price sealed-bid auctions," Economics Letters, Elsevier, vol. 150(C), pages 67-72.
    12. Tong Li & Jingfeng Lu & Li Zhao, 2015. "Auctions with selective entry and risk averse bidders: theory and evidence," RAND Journal of Economics, RAND Corporation, vol. 46(3), pages 524-545, September.
    13. Aradillas-López, Andrés & Gandhi, Amit & Quint, Daniel, 2016. "A simple test for moment inequality models with an application to English auctions," Journal of Econometrics, Elsevier, vol. 194(1), pages 96-115.
    14. Li, Zhen & Kuo, Ching-Chung, 2011. "Revenue-maximizing Dutch auctions with discrete bid levels," European Journal of Operational Research, Elsevier, vol. 215(3), pages 721-729, December.
    15. Victor Aguirregabiria & Margaret Slade, 2017. "Empirical models of firms and industries," Canadian Journal of Economics, Canadian Economics Association, vol. 50(5), pages 1445-1488, December.
    16. Nathalie Gimenes, 2014. "Econometrics of Ascending Auctions by Quantile Regression," Working Papers, Department of Economics 2014_25, University of São Paulo (FEA-USP).
    17. Matthew Gentry & Tong Li & Jingfeng Lu, 2015. "Identification and estimation in first-price auctions with risk-averse bidders and selective entry," CeMMAP working papers CWP16/15, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    18. Xin An & Shulin Liu & Shuo Xu, 2011. "Piecewise Pseudo-Maximum Likelihood Estimation for Risk Aversion Case in First-Price Sealed-Bid Auction," Computational Economics, Springer;Society for Computational Economics, vol. 38(4), pages 439-463, November.
    19. Nianqing Liu & Yao Luo, 2014. "A Nonparametric Test of Exogenous Participation in First-Price Auctions," Working Papers tecipa-519, University of Toronto, Department of Economics.
    20. Hanming Fang & Xun Tang, 2011. "Inference of Bidders’ Risk Attitudes in Ascending Auctions with Endogenous Entry, Second Version," PIER Working Paper Archive 12-016, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 17 Apr 2012.

    More about this item

    JEL classification:

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

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