Revenue-superior variants of the second-price auction
Bernard Lebrun ()
Economic Theory, 2015, vol. 59, issue 2, 245-275
Abstract:
With two bidders, one strong and one weak, the introduction of at least some degree of anonymous “pay-your-bid” in the payment rule of the second-price auction behoves any risk-neutral seller who, while possibly efficiency minded, cares about revenues. This can be achieved by adding to the winner’s payment a uniform proportion of his own bid, as in Güth and van Damme’s auction, or by having bidders receive a uniform proportion of the losing bid, as in Goeree and Offerman’s Amsterdam auction, or even by selling uniform toeholds to the bidders prior to the auction. We demonstrate one-to-one relations between the equilibria of these auctions and of first-price auctions. By assuming a power relation between the bidders’ value cumulative or decumulative functions, we obtain explicit expressions for the first-order effects of the pay-your-bid rule. Copyright Springer-Verlag Berlin Heidelberg 2015
Keywords: Second-price auction; First-price auction; English auction; 2-k-price auction; Amsterdam auction; Bidder heterogeneity; D44 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s00199-014-0853-8
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