A Point Decision for Partially Identified Auction Models
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This article proposes a decision-theoretic method to choose a single reserve price for partially identified auction models, such as Haile and Tamer (2003 Haile, P. A. and Tamer, E. 2003. “Inference With an Incomplete Model of English Auctions,”. Journal of Political Economy, 111: 1–51. [Crossref], [Web of Science ®] , [Google Scholar]), using data on transaction prices from English auctions. The article employs Gilboa and Schmeidler (1989 Gilboa, I. and Schmeidler, D. 1989. “Maxmin Expected Utility With Non-Unique Prior,”. Journal of Mathematical Economics, 18: 141–153. [Crossref], [Web of Science ®] , [Google Scholar]) for inference that is robust with respect to the prior over unidentified parameters. It is optimal to interpret the transaction price as the highest value, and maximize the posterior mean of the seller’s revenue. The Monte Carlo study shows substantial gains relative to the revenues corresponding to a random point and the midpoint in the Haile and Tamer interval.