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Differentiable Economics for Randomized Affine Maximizer Auctions

Author

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  • Michael Curry
  • Tuomas Sandholm
  • John Dickerson

Abstract

A recent approach to automated mechanism design, differentiable economics, represents auctions by rich function approximators and optimizes their performance by gradient descent. The ideal auction architecture for differentiable economics would be perfectly strategyproof, support multiple bidders and items, and be rich enough to represent the optimal (i.e. revenue-maximizing) mechanism. So far, such an architecture does not exist. There are single-bidder approaches (MenuNet, RochetNet) which are always strategyproof and can represent optimal mechanisms. RegretNet is multi-bidder and can approximate any mechanism, but is only approximately strategyproof. We present an architecture that supports multiple bidders and is perfectly strategyproof, but cannot necessarily represent the optimal mechanism. This architecture is the classic affine maximizer auction (AMA), modified to offer lotteries. By using the gradient-based optimization tools of differentiable economics, we can now train lottery AMAs, competing with or outperforming prior approaches in revenue.

Suggested Citation

  • Michael Curry & Tuomas Sandholm & John Dickerson, 2022. "Differentiable Economics for Randomized Affine Maximizer Auctions," Papers 2202.02872, arXiv.org.
  • Handle: RePEc:arx:papers:2202.02872
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    File URL: http://arxiv.org/pdf/2202.02872
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    References listed on IDEAS

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    1. Pavlov Gregory, 2011. "Optimal Mechanism for Selling Two Goods," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-35, February.
    2. Constantinos Daskalakis & Alan Deckelbaum & Christos Tzamos, 2017. "Strong Duality for a Multiple‐Good Monopolist," Econometrica, Econometric Society, vol. 85, pages 735-767, May.
    3. Tuomas Sandholm & Anton Likhodedov, 2015. "Automated Design of Revenue-Maximizing Combinatorial Auctions," Operations Research, INFORMS, vol. 63(5), pages 1000-1025, October.
    4. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    5. Mark Armstrong, 2000. "Optimal Multi-Object Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 455-481.
    6. Hart, Sergiu & Nisan, Noam, 2019. "Selling multiple correlated goods: Revenue maximization and menu-size complexity," Journal of Economic Theory, Elsevier, vol. 183(C), pages 991-1029.
    7. Christopher Avery & Terrence Hendershott, 2000. "Bundling and Optimal Auctions of Multiple Products," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 483-497.
    8. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    9. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    10. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
    11. Rochet, Jean-Charles, 1987. "A necessary and sufficient condition for rationalizability in a quasi-linear context," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 191-200, April.
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    Cited by:

    1. Andreas A. Haupt & Phillip J. K. Christoffersen & Mehul Damani & Dylan Hadfield-Menell, 2022. "Formal Contracts Mitigate Social Dilemmas in Multi-Agent RL," Papers 2208.10469, arXiv.org, revised Jan 2024.

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