Ranking asymmetric auctions: Filling the gap between a distributional shift and stretch

• 成果类型: Article
• 署名作者: Kirkegaard, Rene
• 署名单位: University of Guelph
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2014.01.016
• 发表日期: 2014
• 页码: 60-69
• 关键词: Asymmetric auctions; Dispersive order; Revenue ranking; Star order

摘要

I consider first-price auctions (FPA) and second-price auctions (SPA) with two asymmetric bidders. The FPA is known to be more profitable than the SPA if the strong bidder's distribution function is convex and the weak bidder's distribution is obtained by truncating or horizontally shifting the former. In this paper, I employ a new mechanism design result to show that the FPA remains optimal if the weak bidder's distribution falls between the two benchmarks in a natural way. The same conclusion holds if the strong bidder's distribution is concave, but with a vertical shift replacing the horizontal shift. A result with a similar flavor holds if the strong bidder's distribution is neither convex nor concave. The dispersive order and the star order prove useful in comparing the weak bidder's distribution to the benchmarks. A key step establishes a relationship between these orders and reverse hazard rate dominance. (C) 2014 Elsevier Inc. All rights reserved.