Title
Optimal Commitments in Asymmetric Auctions with Incomplete Information.
Abstract
We solve the Bayesian sequential equilibrium of a general class of single-item first-price or all-pay auctions of incomplete information. Our main contribution is a general methodology for solving the optimal commitment problem, in closed form, for asymmetric continuous-type distributions. Our approach consists of a number of innovations. We propose a modeling concept called equal-bid function to build a bridge between two players' strategies. Another concept called equal-utility curve transforms any commitment strategy into a weakly better continuous and everywhere directional-differentiable strategy. The optimal commitment functions in these auctions reveal some important insights. When the player with commitment power (the leader) has low valuation, he bids passively. This is a credible way to alleviate competition and to enable collusion. We demonstrate, via concrete examples, that this is a credible way to threaten the follower so that the leader can secure a higher utility.
Year
DOI
Venue
2016
10.1145/2940716.2940739
EC
Field
DocType
Citations 
Sequential equilibrium,Mathematical optimization,Mathematical economics,Computer science,Microeconomics,Common value auction,Valuation (finance),Complete information,Bayesian probability,Collusion
Conference
2
PageRank 
References 
Authors
0.39
11
3
Name
Order
Citations
PageRank
Pingzhong Tang113332.06
Zihe Wang2173.72
Xiaoquan (Michael) Zhang310823.28