When Less (Potential Demand) Is More (Revenue): Asymmetric Bidding Capacities in Divisible Good Auctions

We show that asymmetry in bidders’ capacity constraints plays an important role in inhibiting collusion and promoting competitive outcomes in multi-unit auctions in which the final value of the good is common knowledge. This effect appears to be related to the increased difficulty of coordination when there are significant differences between bidders. Due to its impact on collusive outcomes, asymmetry in bidding capacities has a more powerful impact on the seller’s revenue than does the auction type. Consistent with the finding in Sade et al. (2006) that the discriminatory auction is more susceptible to collusion than the uniform-price auction, asymmetry in capacity constraints has a greater impact in discriminatory auctions.We thank Emmanuel Morales-Camargo, Ira Luria and Yelena Larkin for their excellent research assistance. We have benefited from comments by Yishay Yafeh, Eugene Kandel, Dan Levin, David Genesove, Eric Hughson, Steve Rock, Peter Bossaerts, David McAdams two anonymous referees, participants at the 2005 International Meeting of the Economic Science Association in Montreal, the 2006 winter meeting of the Econometric Society in Boston, and seminar participants at the University of Cincinnati, Hebrew University, Federal Reserve Bank of Atlanta, Tel-Aviv University, the University of Notre Dame, and Ben-Gurion University. Sade thanks the Israel Science Foundation (ISF 480/05) and the Krueger Center for Finance at the Hebrew University of Jerusalem for partial financial support.