2016
DOI: 10.2139/ssrn.2742704
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Empirical Relevance of Ambiguity in First-Price Auctions

Abstract: We study the identification and estimation of first-price auctions with independent private values if bidders face ambiguity about the valuation distribution and have maxmin expected utility. Using variation in the number of bidders we nonparametrically identify the true valuation distribution and the lower envelope of the set of prior beliefs. We also allow for CRRA and unobserved auction heterogeneity, and propose a Bayesian estimation method based on Bernstein polynomials. Monte Carlo experiments show that … Show more

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Cited by 14 publications
(25 citation statements)
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References 59 publications
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“…9 Aradillas-López, Gandhi, and Quint (2013) make this assumption to identify bounds on certain counterfactuals in an English auction setting, and Aradillas-López, Gandhi, and Quint (2016) offer a partial test of this assumption using bid data from English auctions. This same assumption has also been made in several empirical articles on first-price auctions: Vuong (2000, 2009), Haile, Hong, and Shum (2003), Gillen (2010), and Aryal, Grundl, Kim, and Zhu (2018), for example, make this assumption to improve the efficiency of their estimator, to identify a risk aversion parameter, to distinguish private from common values, to identify a "level-k" model of strategic sophistication, and to estimate a model with ambiguity aversion, respectively, and Liu and Luo (2017) present a test of the assumption on first-price auction data. 10 Although we vary (below) what we assume about the observability of N, we will maintain the assumption it is exogenous.…”
Section: Model and Nonparametric Identificationmentioning
confidence: 55%
“…9 Aradillas-López, Gandhi, and Quint (2013) make this assumption to identify bounds on certain counterfactuals in an English auction setting, and Aradillas-López, Gandhi, and Quint (2016) offer a partial test of this assumption using bid data from English auctions. This same assumption has also been made in several empirical articles on first-price auctions: Vuong (2000, 2009), Haile, Hong, and Shum (2003), Gillen (2010), and Aryal, Grundl, Kim, and Zhu (2018), for example, make this assumption to improve the efficiency of their estimator, to identify a risk aversion parameter, to distinguish private from common values, to identify a "level-k" model of strategic sophistication, and to estimate a model with ambiguity aversion, respectively, and Liu and Luo (2017) present a test of the assumption on first-price auction data. 10 Although we vary (below) what we assume about the observability of N, we will maintain the assumption it is exogenous.…”
Section: Model and Nonparametric Identificationmentioning
confidence: 55%
“…2 Experimental results on the Ellsberg paradox reveal that agents exhibit ambiguity averse behavior in many situations (e.g., Ellsberg (1961), Halevy (2007)). Aryal et al (2018) find empirical evidence of ambiguity in U.S. timber auctions. anism design.…”
Section: Introductionmentioning
confidence: 83%
“…We were not able to obtain satisfactory risk-aversion estimates with two-step estimators where the effect of unobserved auction heterogeneity is separated out in a first step as in Krasnokutskaya (2011). For Bayesian estimation approaches for first-price auctions, see Kim (2015a), Kim (2015b) and Aryal, Grundl, Kim, and Zhu (2015).…”
Section: Parameter Spacementioning
confidence: 91%