Approximately optimal bidding policies for repeated first-price auctions

We suggest approximately optimal bidding strategies for games, where similar items are auctioned repeatedly. Considering players’ bounded rationality in practice, the results can further motivate the application of market-based approaches in resource allocation problems. We specialize the bidding algorithm for first-price payment schemes, the building blocks of several simplified selling mechanisms, that are common in practice.

[1]  R. Buyya,et al.  Market-Oriented Grid and Utility Computing , 2009 .

[2]  Juan C. Heinrich,et al.  The Finite Element Method: Basic Concepts And Applications , 1992 .

[3]  Yishay Mansour,et al.  How long to equilibrium? The communication complexity of uncoupled equilibrium procedures , 2010, Games Econ. Behav..

[4]  Itai Ashlagi,et al.  Robust Learning Equilibrium , 2006, UAI.

[5]  Shie Mannor,et al.  A Robust Learning Approach to Repeated Auctions With Monitoring and Entry Fees , 2011, IEEE Transactions on Computational Intelligence and AI in Games.

[6]  S. Shaheen Fatima,et al.  Sequential versus simultaneous auctions: a case study , 2006, ICEC '06.

[7]  Martin Pesendorfer,et al.  Estimation of a Dynamic Auction Game , 2001 .

[8]  A. Roth,et al.  Learning in Extensive-Form Games: Experimental Data and Simple Dynamic Models in the Intermediate Term* , 1995 .

[9]  Dov Monderer,et al.  A Learning Approach to Auctions , 1998 .

[10]  Johannes Hörner,et al.  Sequential Common-Value Auctions with Asymmetrically Informed Bidders , 2008 .

[11]  D. Hausch,et al.  Multi-object auctions: sequential vs. simultaneous sales , 1986 .

[12]  Amin Vahdat,et al.  Two Auction‐Based Resource Allocation Environments: Design and Experience , 2009 .

[13]  O. C. Zienkiewicz,et al.  The Finite Element Method: Its Basis and Fundamentals , 2005 .

[14]  Q. Vuong,et al.  Optimal Nonparametric Estimation of First-price Auctions , 2000 .

[15]  Bruce A. Finlayson,et al.  Error bounds for approximate solutions to nonlinear ordinary differential equations , 1972 .

[16]  R. Aumann Rationality and Bounded Rationality , 1997 .

[17]  Paul R. Milgrom,et al.  A theory of auctions and competitive bidding , 1982 .

[18]  Shie Mannor,et al.  Efficient Bidding in Dynamic Grid Markets , 2011, IEEE Transactions on Parallel and Distributed Systems.

[19]  J. Kagel,et al.  Common Value Auctions and the Winner's Curse , 2002 .