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On Best-Response Bidding in GSP Auctions


Matthew Cary


University of Washington

Aparna Das


Brown University

Benjamin G. Edelman


Harvard University - HBS Negotiations, Organizations and Markets Unit

Ioannis Giotis


University of Washington - College of Arts and Sciences

Kurtis Heimerl


University of Washington

Anna R. Karlin


University of Washington

Claire Kenyon Mathieu


Brown University

Michael Schwarz


Yahoo! Research Labs; National Bureau of Economic Research (NBER)

January 28, 2008

Harvard Business School NOM Working Paper No. 08-056

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 et al. [4]. We prove that convergence occurs with probability 1, and we compute the expected time until convergence.

Number of Pages in PDF File: 19

Keywords: Keyword auctions, bidding strategies, convergence

JEL Classification: C72, D44

working papers series


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Date posted: January 28, 2008 ; Last revised: October 25, 2012

Suggested Citation

Cary, Matthew, Das, Aparna, Edelman, Benjamin G., Giotis, Ioannis, Heimerl, Kurtis, Karlin, Anna R., Kenyon Mathieu, Claire and Schwarz, Michael, On Best-Response Bidding in GSP Auctions (January 28, 2008). Harvard Business School NOM Working Paper No. 08-056. Available at SSRN: http://ssrn.com/abstract=1087990 or http://dx.doi.org/10.2139/ssrn.1087990

Contact Information

Matthew Cary
University of Washington ( email )
Seattle, WA 98195
United States
Aparna Das
Brown University ( email )
Box 1860
Providence, RI 02912
United States
Benjamin G. Edelman (Contact Author)
Harvard University - HBS Negotiations, Organizations and Markets Unit ( email )
Soldiers Field
Boston, MA 02163
United States
HOME PAGE: http://people.hbs.edu/bedelman
Ioannis Giotis
University of Washington - College of Arts and Sciences ( email )
Seattle, WA
United States
Kurtis Heimerl
University of Washington ( email )
Seattle, WA 98195
United States
Anna R. Karlin
University of Washington ( email )
Seattle, WA 98195
United States
Claire Kenyon Mathieu
Brown University ( email )
Box 1860
Providence, RI 02912
United States
Michael Schwarz
Yahoo! Research Labs ( email )
Pasadena, CA 91103
National Bureau of Economic Research (NBER)
1050 Massachusetts Avenue
Cambridge, MA 02138
United States
Feedback to SSRN (Beta)


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