Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
skip to main content
10.1145/3589334.3645360acmconferencesArticle/Chapter ViewAbstractPublication PagesthewebconfConference Proceedingsconference-collections
research-article
Open access

Efficiency of the Generalized Second-Price Auction for Value Maximizers

Published: 13 May 2024 Publication History

Abstract

We study the price of anarchy of the generalized second-price auction where bidders are value maximizers (i.e., autobidders). We show that in general the price of anarchy can be as bad as 0. For comparison, the price of anarchy of running VCG is 1/2 in the autobidding world. We further show a fined-grained price of anarchy with respect to the discount factors (i.e., the ratios of click probabilities between lower slots and the highest slot in each auction) in the generalized second-price auction, which highlights the qualitative relation between the smoothness of the discount factors and the efficiency of the generalized second-price auction.

Supplemental Material

MP4 File
Supplemental video

References

[1]
Gagan Aggarwal, Ashwinkumar Badanidiyuru, and Aranyak Mehta. 2019. Autobidding with Constraints. In International Conference on Web and Internet Economics. Springer, 17--30.
[2]
Gagan Aggarwal, Ashish Goel, and Rajeev Motwani. 2006. Truthful auctions for pricing search keywords. In Proceedings of the 7th ACM Conference on Electronic Commerce. 1--7.
[3]
Gagan Aggarwal, Andres Perlroth, and Junyao Zhao. 2023. Multi-Channel Auction Design in the Autobidding World. In Proceedings of the 24th ACM Conference on Economics and Computation (London, United Kingdom) (EC '23). Association for Computing Machinery, New York, NY, USA, 21.
[4]
Santiago Balseiro, Yuan Deng, Jieming Mao, Vahab Mirrokni, and Song Zuo. 2021a. The Landscape of Auto-Bidding Auctions: Value versus Utility Maximization. In Proceedings of the 22nd ACM Conference on Economics and Computation.
[5]
Santiago Balseiro, Yuan Deng, Jieming Mao, Vahab Mirrokni, and Song Zuo. 2022a. Optimal Mechanisms for Value Maximizers with Budget Constraints via Target Clipping. In Proceedings of the 23rd ACM Conference on Economics and Computation.
[6]
Santiago Balseiro, Yuan Deng, Jieming Mao, Vahab Mirrokni, and Song Zuo. 2023. Optimal Mechanisms for a Value Maximizer: The Futility of Screening Targets. Available at SSRN 4351927 (2023).
[7]
Santiago R Balseiro, Yuan Deng, Jieming Mao, Vahab Mirrokni, and Song Zuo. 2022b. Optimal Mechanisms for Value Maximizers with Budget Constraints via Target Clipping. In Proceedings of the 23rd ACM Conference on Economics and Computation. 475--475.
[8]
Santiago R. Balseiro, Yuan Deng, Jieming Mao, Vahab S. Mirrokni, and Song Zuo. 2021b. Robust Auction Design in the Auto-bidding World. In Advances in Neural Information Processing Systems 34: Annual Conference on Neural Information Processing Systems 2021, NeurIPS 2021, December 6--14, 2021, virtual. 17777--17788.
[9]
Ioannis Caragiannis, Christos Kaklamanis, Panagiotis Kanellopoulos, Maria Kyropoulou, Brendan Lucier, Renato Paes Leme, and Éva Tardos. 2015. Bounding the inefficiency of outcomes in generalized second price auctions. Journal of Economic Theory, Vol. 156 (2015), 343--388.
[10]
Yuan Deng, Jieming Mao, Vahab Mirrokni, Yifeng Teng, and Song Zuo. 2023 a. Non-uniform Bid-scaling and Equilibria for Different Auctions: An Empirical Study. arXiv preprint arXiv:2311.10679 (2023).
[11]
Yuan Deng, Jieming Mao, Vahab Mirrokni, Hanrui Zhang, and Song Zuo. 2022a. Efficiency of the first-price auction in the autobidding world. arXiv preprint arXiv:2208.10650 (2022).
[12]
Yuan Deng, Jieming Mao, Vahab Mirrokni, Hanrui Zhang, and Song Zuo. 2023 b. Autobidding Auctions in the Presence of User Costs. In Proceedings of the ACM Web Conference 2023. 3428--3435.
[13]
Yuan Deng, Jieming Mao, Vahab Mirrokni, and Song Zuo. 2021. Towards Efficient Auctions in an Auto-bidding World. In Proceedings of The Web Conference 2021.
[14]
Yuan Deng, Vahab Mirrokni, and Hanrui Zhang. 2022b. Posted Pricing and Dynamic Prior-independent Mechanisms with Value Maximizers. Advances in Neural Information Processing Systems, Vol. 35 (2022), 24158--24169.
[15]
Yuan Deng and Hanrui Zhang. 2021. Prior-independent dynamic auctions for a value-maximizing buyer. Advances in Neural Information Processing Systems, Vol. 34 (2021), 13847--13858.
[16]
Shelagh Dolan. 2020. US Programmatic Digital Display Ad Spending Will Grow Despite Pandemic-Related Recession. hyperref[Link]https://www.emarketer.com/content/us-programmatic-digital-display-ad-spending-will-grow-despite-pandemic-related-recession. Accessed: 9 Jul 2022.
[17]
Benjamin Edelman, Michael Ostrovsky, and Michael Schwarz. 2007. Internet advertising and the generalized second-price auction: Selling billions of dollars worth of keywords. American Economic Review, Vol. 97, 1 (2007), 242--259.
[18]
Negin Golrezaei, Ilan Lobel, and Renato Paes Leme. 2021. Auction design for roi-constrained buyers. In Proceedings of the Web Conference 2021. 3941--3952.
[19]
Renato D Gomes and Kane S Sweeney. 2009. Bayes-Nash equilibria of the generalized second price auction. In Proceedings of the 10th ACM conference on Electronic Commerce. 107--108.
[20]
Jason Hartline, Darrell Hoy, and Sam Taggart. 2014. Price of anarchy for auction revenue. In Proceedings of the fifteenth ACM conference on Economics and computation. 693--710.
[21]
Elias Koutsoupias and Christos Papadimitriou. 1999. Worst-case equilibria. In Annual symposium on theoretical aspects of computer science. Springer, 404--413.
[22]
Sébastien Lahaie. 2006. An analysis of alternative slot auction designs for sponsored search. In Proceedings of the 7th ACM Conference on Electronic Commerce. 218--227.
[23]
Juncheng Li and Pingzhong Tang. 2023. Vulnerabilities of Single-Round Incentive Compatibility in Auto-bidding: Theory and Evidence from ROI-Constrained Online Advertising Markets. arxiv: 2210.06107 [cs.GT]
[24]
Christopher Liaw, Aranyak Mehta, and Andres Perlroth. 2022. Efficiency of non-truthful auctions under auto-bidding. arXiv preprint arXiv:2207.03630 (2022).
[25]
Xiaodong Liu and Weiran Shen. 2023. Auto-bidding with Budget and ROI Constrained Buyers. In Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence, IJCAI 2023, 19th-25th August 2023, Macao, SAR, China. International Joint Conferences on Artificial Intelligence Organization.
[26]
Pinyan Lu, Chenyang Xu, and Ruilong Zhang. 2023. Auction Design for Value Maximizers with Budget and Return-on-spend Constraints. In Web and Internet Economics: 19th International Conference, WINE 2023, Shanghai, China, December 4--8, 2023, Proceedings 19. Springer.
[27]
Brendan Lucier, Renato Paes Leme, and Éva Tardos. 2012. On revenue in the generalized second price auction. In Proceedings of the 21st international conference on World Wide Web. 361--370.
[28]
Brendan Lucier, Sarath Pattathil, Aleksandrs Slivkins, and Mengxiao Zhang. 2023. Autobidders with budget and roi constraints: Efficiency, regret, and pacing dynamics. arXiv preprint arXiv:2301.13306 (2023).
[29]
Hongtao Lv, Xiaohui Bei, Zhenzhe Zheng, and Fan Wu. 2023 a. Auction Design for Bidders with Ex Post ROI Constraints. In Web and Internet Economics: 19th International Conference, WINE 2023, Shanghai, China, December 4--8, 2023, Proceedings 19. Springer.
[30]
Hongtao Lv, Zhilin Zhang, Zhenzhe Zheng, Jinghan Liu, Chuan Yu, Lei Liu, Lizhen Cui, and Fan Wu. 2023 b. Utility maximizer or value maximizer: mechanism design for mixed bidders in online advertising. In Proceedings of the Thirty-Seventh AAAI Conference on Artificial Intelligence and Thirty-Fifth Conference on Innovative Applications of Artificial Intelligence and Thirteenth Symposium on Educational Advances in Artificial Intelligence (AAAI'23/IAAI'23/EAAI'23). AAAI Press, Article 649, bibinfonumpages8 pages.
[31]
Aranyak Mehta. 2022. Auction design in an auto-bidding setting: Randomization improves efficiency beyond VCG. In Proceedings of the ACM Web Conference 2022. 173--181.
[32]
Denis Nekipelov, Vasilis Syrgkanis, and Eva Tardos. 2015. Econometrics for learning agents. In Proceedings of the sixteenth acm conference on economics and computation. 1--18.
[33]
Renato Paes Leme, Balasubramanian Sivan, and Yifeng Teng. 2020. Why Do Competitive Markets Converge to First-Price Auctions?. In Proceedings of The Web Conference 2020. 596--605.
[34]
Tim Roughgarden, Vasilis Syrgkanis, and Eva Tardos. 2017. The price of anarchy in auctions. Journal of Artificial Intelligence Research, Vol. 59 (2017), 59--101.
[35]
David RM Thompson and Kevin Leyton-Brown. 2013. Revenue optimization in the generalized second-price auction. In Proceedings of the fourteenth ACM conference on Electronic commerce. 837--852.
[36]
Hal R Varian. 2007. Position auctions. International Journal of Industrial Organization, Vol. 25, 6 (2007), 1163--1178.
[37]
William Vickrey. 1961. Counterspeculation, auctions, and competitive sealed tenders. The Journal of finance, Vol. 16, 1 (1961), 8--37.
[38]
Yidan Xing, Zhilin Zhang, Zhenzhe Zheng, Chuan Yu, Jian Xu, Fan Wu, and Guihai Chen. 2023. Truthful Auctions for Automated Bidding in Online Advertising. In Proceedings of the Thirty-Second International Joint Conference on Artificial Intelligence, IJCAI-23. International Joint Conferences on Artificial Intelligence Organization, 2915--2922. Main Track. io

Cited By

View all
  • (2024)Strategic Budget Selection in a Competitive Autobidding WorldProceedings of the 56th Annual ACM Symposium on Theory of Computing10.1145/3618260.3649688(213-224)Online publication date: 10-Jun-2024

Index Terms

  1. Efficiency of the Generalized Second-Price Auction for Value Maximizers

    Recommendations

    Comments

    Information & Contributors

    Information

    Published In

    cover image ACM Conferences
    WWW '24: Proceedings of the ACM Web Conference 2024
    May 2024
    4826 pages
    ISBN:9798400701719
    DOI:10.1145/3589334
    This work is licensed under a Creative Commons Attribution International 4.0 License.

    Sponsors

    Publisher

    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 13 May 2024

    Check for updates

    Author Tags

    1. autobidding
    2. mechanism design
    3. online advertising

    Qualifiers

    • Research-article

    Conference

    WWW '24
    Sponsor:
    WWW '24: The ACM Web Conference 2024
    May 13 - 17, 2024
    Singapore, Singapore

    Acceptance Rates

    Overall Acceptance Rate 1,899 of 8,196 submissions, 23%

    Contributors

    Other Metrics

    Bibliometrics & Citations

    Bibliometrics

    Article Metrics

    • Downloads (Last 12 months)98
    • Downloads (Last 6 weeks)37
    Reflects downloads up to 30 Aug 2024

    Other Metrics

    Citations

    Cited By

    View all
    • (2024)Strategic Budget Selection in a Competitive Autobidding WorldProceedings of the 56th Annual ACM Symposium on Theory of Computing10.1145/3618260.3649688(213-224)Online publication date: 10-Jun-2024

    View Options

    View options

    PDF

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader

    Get Access

    Login options

    Media

    Figures

    Other

    Tables

    Share

    Share

    Share this Publication link

    Share on social media