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Information disclosure in optimal auctions
Institution:1. Department of Economics, Universitat Pompeu Fabra and Barcelona GSE, Ramon Trias Fargas 27, Barcelona 08005, Spain;2. Department of Business, Universidad Carlos III, Madrid 126, Getafe 28903, Spain;1. MAPP, France;2. Toulouse School of Economics, CNRS, University of Toulouse Capitole, France;3. Toulouse School of Economics, IAST, University of Toulouse Capitole, France;1. Department of Economics, University of Melbourne, Level 4, FBE Building, 111 Barry Street, Victoria 3010, Australia;2. The Fuqua School of Business, Duke University, 100 Fuqua Drive, Durham, NC 27708, USA;1. University of Oxford, United Kingdom;2. Cass Business School, UK;3. Department of Business Administration, Universidad Carlos III, Spain
Abstract:This paper analyzes a situation in which the seller controls the accuracy of what potential buyers learn about their valuation of a good to be sold. This setting is related to many real situations such as home sales, antique auctions, and digital platforms such as Google and Facebook selling online advertising slots. Two important questions arise: what is the optimal selling mechanism, and what is the optimal disclosure policy of the seller. Under the assumption of private values, a simple auction with a reserve price is the optimal mechanism. What we show is that the amount of (costly) information provided increases with the number of potential bidders when using the optimal mechanism and is greater than when the object is always sold. Because information changes the distribution of a bidder’s expected valuations, the optimal reserve price also changes, so that the number of bidders (indirectly) affects the reserve price. We show that as the number of bidders increases, the optimal reserve price becomes more restrictive.
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