Auctions in Markets: Common Outside Options and the Continuation Value Effect∗ Stephan Lauermann† Gábor Virág‡ September 23, 2010 Abstract We study auctions with outside options that are determined through actions taken in the external market. Such endogenous outside options have important consequences for auction design. In contrast to the case of exogenous outside options, auctions with less information revelation may yield higher revenues. Effects that favor non- transparent auctions include a small payoff difference between different states, a great value of information in the continuation problem, and imprecise signals of the bid- ders. The timing of information revelation is important: it is never optimal to reveal information after the auction, while it may be optimal before the auction. ∗We would like to thank Simon Board, Tilman Borgers, Johannes Hörner, Thomas Jeitschko, Kai-Uwe Kuhn, Philipp Kircher, Tymofiy Mylovanov, Daisuke Nakajima, Peter Norman, Marco Ottaviani, Romans Pancs, Lones Smith, and various audiences for their helpful comments. All remaining errors are ours. †University of Michigan, Department of Economics,
[email protected] ‡corresponding author, University of Rochester, Department of Economics,
[email protected] 1 1Introduction In many situations information learned in an auction may be valuable in subsequent mar- ket interaction. We study such auctions to obtain new insights into auction design. In particular, we consider a situation where the losing bidders have common outside options provided by an external market, and study whether transparent or opaque auctions yield higher revenues. We introduce a stylized model to highlight the main trade-offs that shape the optimal information policy of the auctioneer. There are two risk neutral bidders who participate in a second price auction with a post-auction market.