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Matthew Cary , Aparna Das, Benjamin Edelman , Ioannis Giotis , Kurtis Heimerl , Anna R. Karlin , Claire Mathieu , Michael Schwarz
NBER Working Paper No. 13788
Issued in February 2008
NBER Program(s): IO
---- Abstract -----
How should players bid in keyword auctions such as those used by Google, Yahoo! and MSN? We model ad auctions as a dynamic game of incomplete information, so we can study the convergence and robustness properties of various strategies. In particular, we consider best-response bidding strategies for a repeated auction on a single keyword, where in each round, each player chooses some optimal bid for the next round, assuming that the other players merely repeat their previous bids. We focus on a strategy we call Balanced Bidding (bb). If all players use the bb strategy, we show that bids converge to a bid vector that obtains in a complete information static model proposed by Edelman, Ostrovsky and Schwarz (2007). We prove that convergence occurs with probability 1, and we compute the expected time until convergence.
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