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Optimal Auctions Capturing Constraints in Sponsored Search

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Algorithmic Aspects in Information and Management (AAIM 2009)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 5564))

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Abstract

Most sponsored search auctions use the Generalized Second Price (GSP) rule. Given the GSP rule, they try to give an optimal allocation, an easy task when the only need is to allocate ads to slots. However, when other practical conditions must be fulfilled –such as budget constraints, exploration of the performance of new ads, etc.– optimal allocations are hard to obtain. We provide a method to optimally allocate ads to slots under the practical conditions mentioned above. Our auctions are stochastic, and can be applied in tandem with different pricing rules, among which we highlight two: an intuitive generalization of GSP and VCG payments.

This research was funded by a Yahoo! Research Alliance Grant, and in part by UBACYT project X436 “Algoritmos de selección y asignación y mecanismos de pago para la publicidad online en Internet”.

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References

  1. Abrams, Z.: Revenue maximization when bidders have budgets. In: SODA, pp. 1074–1082 (2006)

    Google Scholar 

  2. Abrams, Z., Mendelevitch, O., Tomlin, J.: Optimal delivery of sponsored search advertisements subject to budget constraints. In: ACM Conference on Electronic Commerce, pp. 272–278 (2007)

    Google Scholar 

  3. Aggarwal, G., Goel, A., Motwani, R.: Truthful auctions for pricing search keywords. In: ACM Conference on Electronic Commerce, pp. 1–7 (2006)

    Google Scholar 

  4. Bhargava, H.K., Feng, J.: Paid placement strategies for internet search engines. In: WWW 2002: Proceedings of the 11th international conference on World Wide Web (2002)

    Google Scholar 

  5. Birkhoff, G.: Tres observaciones sobre el algebra lineal. Univ. Nac. Tucumán. Revista, 147–151 (1946)

    Google Scholar 

  6. Borgs, C., Chayes, J., Etesami, O., Immorlica, N., Jain, K., Mahdian, M.: Dynamics of bid optimization in online advertisement auctions. In: 16th International World Wide Web Conference (WWW 2007) (2007)

    Google Scholar 

  7. Borgs, C., Chayes, J.T., Immorlica, N., Mahdian, M., Saberi, A.: Multi-unit auctions with budget-constrained bidders. In: ACM Conference on Electronic Commerce, pp. 44–51 (2005)

    Google Scholar 

  8. Carrasco, J.J., Fain, D.C., Lang, K.J., Zhukov, L.: Clustering of bipartite advertiser-keyword graph. In: Workshop on Large Scale Clustering at IEEE International Conference on Data Mining (2003)

    Google Scholar 

  9. Clarke, E.H.: Multipart pricing of public goods. Public Choice, 17–33 (1971)

    Google Scholar 

  10. Edelman, B.G., Ostrovsky, M., Schwarz, M.: Internet advertising and the generalized second price auction: Selling billions of dollars worth of keywords. Stanford Graduate School of Business Research Paper No. 1917 Available at SSRN (2005), http://ssrn.com/abstract=861164

  11. Edmonds, J.: Paths, trees, and flowers. Canad. J. Math. 17, 449–467 (1965)

    Article  MATH  MathSciNet  Google Scholar 

  12. Feuerstein, E., Heiber, P., Martínez-Viademonte, J., Baeza-Yates, R.: New stochastic algorithms for placing ads in sponsored search. In: Proc. 5th Latin American Web Congress (LA-WEB 2007) (2007)

    Google Scholar 

  13. Feuerstein, E., Heiber, P., Mydlarz, M.: Truthful stochastic and deterministic auctions for sponsored search. In: Proc. 6th Latin American Web Congress (LA-WEB 2008) (2008)

    Google Scholar 

  14. Ghosh, A., Mahdian, M.: Externalities in online advertising. In: 17th International World Wide Web Conference (WWW 2008) (2008)

    Google Scholar 

  15. Gunawardana, A., Meek, C.: Aggregators and contextual effects in search ad markets. In: WWW Workshop on Targeting and Ranking for Online Advertising (2008)

    Google Scholar 

  16. Klemperer, P.: Auction theory: A guide to the literature. Journal of Economic Surveys 13(3), 227–286 (1999)

    Article  Google Scholar 

  17. Lavi, R., Swamy, C.: Truthful and near-optimal mechanism design via linear programming. In: FOCS, pp. 595–604 (2005)

    Google Scholar 

  18. Lovász, L., Plummer, M.D.: Matching Theory. In: Annals of Discrete Mathematics. North-Holland, Amsterdam (1986)

    Google Scholar 

  19. Mahdian, M., Nazerzadeh, H., Saberi, A.: Allocating online advertisement space with unreliable estimates. In: ACM Conference on Electronic Commerce, pp. 288–294 (2007)

    Google Scholar 

  20. Meek, C., Chickering, D.M., Wilson, D.B.: Stochastic and contingent-payment auctions. In: Workshop on Sponsored Search Auctions - ACM Conference on Electronic Commerce (EC 2005) (2005)

    Google Scholar 

  21. Mehta, A., Saberi, A., Vazirani, U., Vazirani, V.: Adwords and generalized on-line matching. In: Proc. Symposium on Foundations of Computer Science (2005)

    Google Scholar 

  22. Myerson, R.: Optimal auction design. Mathematics of Operations Research 6, 58–73 (1981)

    Article  MATH  MathSciNet  Google Scholar 

  23. Nakamura, A., Abe, N.: Improvements to the linear programming based scheduling of web advertisements: World wide web electronic commerce, security and privacy. In: zurko, M.e., greenwald, a. (guest eds.) Electronic Commerce Research, vol. 5, pp. 75–98 (2005)

    Google Scholar 

  24. Nisan, N., Roughgarden, T., Tardos, É., Vazirani, V.V. (eds.): Algorithmic Game Theory. Cambridge University Press, Cambridge (2007)

    Google Scholar 

  25. Pandey, S., Olston, C.: Handling advertisements of unknown quality in search advertising. In: Proc. Twentieth Annual Conference on Neural Information Processing Systems (NIPS), Vancouver, Canada (2006)

    Google Scholar 

  26. Penemberg, A.: Click fraud threatens web. Wired news, October 13 (2004)

    Google Scholar 

  27. Schrijver, A.: Theory of Linear and Integer Programming. John Wiley & Sons, Chichester (1986)

    MATH  Google Scholar 

  28. Vickrey, W.: Counterspeculation, auctions, and competitive sealed tenders. The Journal of Finance 16(1), 8–37 (1961)

    Article  MathSciNet  Google Scholar 

  29. Wiggins, R., Tomlin, J.: Bid optimization for internet graphical ad auction systems via special ordered sets. Yahoo! Research Technical Report YR-2007-004 (2007)

    Google Scholar 

  30. Zhu, X., Goldberg, A., Van Gael, J., Andrzejewski, D.: Improving diversity in ranking using absorbing random walks. In: Human Language Technologies: The Annual Conference of the North American Chapter of the Association for Computational Linguistics (NAAC-HLT) (2007)

    Google Scholar 

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Feuerstein, E., Heiber, P.A., Lopez-Rosenfeld, M., Mydlarz, M. (2009). Optimal Auctions Capturing Constraints in Sponsored Search. In: Goldberg, A.V., Zhou, Y. (eds) Algorithmic Aspects in Information and Management. AAIM 2009. Lecture Notes in Computer Science, vol 5564. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02158-9_17

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  • DOI: https://doi.org/10.1007/978-3-642-02158-9_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02157-2

  • Online ISBN: 978-3-642-02158-9

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