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Maintaining Equilibria During Exploration in Sponsored Search Auctions

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Abstract

We introduce an exploration scheme aimed at learning advertiser click-through rates in sponsored search auctions with minimal effect on advertiser incentives. The scheme preserves both the current ranking and pricing policies of the search engine and only introduces one set of parameters which control the rate of exploration. These parameters can be set so as to allow enough exploration to learn advertiser click-through rates over time, but also eliminate incentives for advertisers to alter their currently submitted bids. When advertisers have much more information than the search engine, we show that although this goal is not achievable, incentives to deviate can be made arbitrarily small by appropriately setting the exploration rate. Given that advertisers do not alter their bids, we bound revenue loss due to exploration.

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References

  1. Börgers, T., Cox, I., Pesendorfer, M., Petricek, V.: Equilibrium bids in auctions of sponsored links: theory and evidence. Technical Report, University of Michigan (2007)

  2. Bu, T.-M., Deng, X., Qi, Q.: Forward looking Nash equilibrium for keyword auction. Inf. Process. Lett. 105(2), 41–46 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  3. Cary, M., Das, A., Edelman, B., Giotis, I., Heimerl, K., Karlin, A.R., Mathieu, C., Schwarz, M.: Greedy bidding strategies for keyword auctions. In: Eighth ACM Conference on Electronic Commerce (2007)

  4. Edelman, B., Ostrovsky, M., Schwarz, M.: Internet advertising and the generalized second price auction: Selling billions of dollars worth of keywords. Am. Econ. Rev. 9(1), 242–259 (2007)

    Google Scholar 

  5. Even-Dar, E., Kearns, M., Wortman, J.: Sponsored search with contexts. In: The 3rd International Workshop on Internet and Network Economics (2007)

  6. Ghosh, A., Nazerzadeh, H., Sundararajan, M.: Computing optimal bundles for sponsored search. In: The 3rd International Workshop on Internet and Network Economics (2007)

  7. Gonen, R., Pavlov, E.: An incentive-compatible multi-armed bandit mechanism. In: The 26th Annual ACM Symposium on Principles of Distributed Computing (2007)

  8. Heckman, J.: Sample selection bias as a specification error. Econometrica 47, 153–161 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  9. Hoeffding, W.: Probability inequalities for sums of bounded random variables. J. Am. Stat. Assoc. 58(301), 13–30 (1963)

    Article  MATH  MathSciNet  Google Scholar 

  10. Lahaie, S.: An analysis of alternative slot auction designs for sponsored search. In: ACM Conference on Electronic Commerce (2006)

  11. Lahaie, S., Pennock, D.M.: Revenue analysis of a family of ranking rules for keyword auctions. In: ACM Conference on Electronic Commerce (2007)

  12. Liang, L., Qi, Q.: Cooperative or vindictive: Bidding strategies in sponsored search auction. In: The 3rd International Workshop on Internet and Network Economics (2007)

  13. Pandey, S., Olston, C.: Handling advertisements of unknown quality in search advertising. In: Advances in Neural Information and Processing Systems 19, pp. 1065–1072 (2007)

  14. Parkes, D., Sandholm, T.: Optimize-and-dispatch architecture for expressive ad auctions. Paper presented at the First Workshop on Sponsored Search Auctions, Vancouver, Canada, June, 2005

  15. Varian, H.: Position auctions. Int. J. Ind. Organ. 25(6), 1163–1178 (2007)

    Article  Google Scholar 

  16. Vorobeychik, Y., Reeves, D.: Equilibrium analysis of dynamic bidding in sponsored search auctions. Int. J. Electron. Bus. 6(2), 172–193 (2008)

    Article  Google Scholar 

  17. Wortman, J., Vorobeychik, Y., Li, L., Langford, J.: Maintaining equilibria during exploration in sponsored search auctions. In: The 3rd International Workshop on Internet and Network Economics (2007)

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Correspondence to Jennifer Wortman.

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A preliminary version of this work appeared in the Third International Workshop on Internet and Network Economics [17]. Part of this work was done while J. Wortman, Y. Vorobeychik, and L. Li were visiting Yahoo! Research.

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Langford, J., Li, L., Vorobeychik, Y. et al. Maintaining Equilibria During Exploration in Sponsored Search Auctions. Algorithmica 58, 990–1021 (2010). https://doi.org/10.1007/s00453-009-9318-z

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  • DOI: https://doi.org/10.1007/s00453-009-9318-z

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