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Revenue-Optimal Efficient Mechanism Design with General Type Spaces

Author

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  • Siddharth Prasad
  • Maria-Florina Balcan
  • Tuomas Sandholm

Abstract

We derive the revenue-optimal efficient (welfare-maximizing) mechanism in a general multidimensional mechanism design setting when type spaces -- that is, the underlying domains from which agents' values come from -- can capture arbitrarily complex informational constraints about the agents. Type spaces can encode information about agents representing, for example, machine learning predictions of agent behavior, institutional knowledge about feasible market outcomes (such as item substitutability or complementarity in auctions), and correlations between multiple agents. Prior work has only dealt with connected type spaces, which are not expressive enough to capture many natural kinds of constraints such as disjunctive constraints. We provide two characterizations of the optimal mechanism based on allocations and connected components; both make use of an underlying network flow structure to the mechanism design. Our results significantly generalize and improve the prior state of the art in revenue-optimal efficient mechanism design. They also considerably expand the scope of what forms of agent information can be expressed and used to improve revenue.

Suggested Citation

  • Siddharth Prasad & Maria-Florina Balcan & Tuomas Sandholm, 2025. "Revenue-Optimal Efficient Mechanism Design with General Type Spaces," Papers 2505.13687, arXiv.org.
    • Handle: RePEc:arx:papers:2505.13687
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    References listed on IDEAS

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    1. Bajari, Patrick & Yeo, Jungwon, 2009. "Auction design and tacit collusion in FCC spectrum auctions," Information Economics and Policy, Elsevier, vol. 21(2), pages 90-100, June.
    2. Fajemisin, Adejuyigbe O. & Maragno, Donato & den Hertog, Dick, 2024. "Optimization with constraint learning: A framework and survey," European Journal of Operational Research, Elsevier, vol. 314(1), pages 1-14.
    3. Tuomas Sandholm & Anton Likhodedov, 2015. "Automated Design of Revenue-Maximizing Combinatorial Auctions," Operations Research, INFORMS, vol. 63(5), pages 1000-1025, October.
    4. Myerson, Roger B. & Satterthwaite, Mark A., 1983. "Efficient mechanisms for bilateral trading," Journal of Economic Theory, Elsevier, vol. 29(2), pages 265-281, April.
    5. Benjamin Edelman & Michael Ostrovsky & Michael Schwarz, 2007. "Internet Advertising and the Generalized Second-Price Auction: Selling Billions of Dollars Worth of Keywords," American Economic Review, American Economic Association, vol. 97(1), pages 242-259, March.
    6. Gail Hohner & John Rich & Ed Ng & Grant Reid & Andrew J. Davenport & Jayant R. Kalagnanam & Ho Soo Lee & Chae An, 2003. "Combinatorial and Quantity-Discount Procurement Auctions Benefit Mars, Incorporated and Its Suppliers," Interfaces, INFORMS, vol. 33(1), pages 23-35, February.
    7. Maria-Florina Balcan & Tuomas Sandholm & Ellen Vitercik, 2025. "Generalization Guarantees for Multi-Item Profit Maximization: Pricing, Auctions, and Randomized Mechanisms," Operations Research, INFORMS, vol. 73(2), pages 648-663, March.
    8. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    9. Green, Jerry & Laffont, Jean-Jacques, 1977. "On the revelation of preferences for public goods," Journal of Public Economics, Elsevier, vol. 8(1), pages 79-93, August.
    10. Cramton, Peter & Schwartz, Jesse A, 2000. "Collusive Bidding: Lessons from the FCC Spectrum Auctions," Journal of Regulatory Economics, Springer, vol. 17(3), pages 229-252, May.
    11. Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-438, March.
    12. Edward Clarke, 1971. "Multipart pricing of public goods," Public Choice, Springer, vol. 11(1), pages 17-33, September.
    13. Tuomas Sandholm & David Levine & Michael Concordia & Paul Martyn & Rick Hughes & Jim Jacobs & Dennis Begg, 2006. "Changing the Game in Strategic Sourcing at Procter & Gamble: Expressive Competition Enabled by Optimization," Interfaces, INFORMS, vol. 36(1), pages 55-68, February.
    14. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    15. Paulo Monteiro, 2009. "Abstract types and distributions in independent private value auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(3), pages 497-507, September.
    16. Manelli, Alejandro M. & Vincent, Daniel R., 2006. "Bundling as an optimal selling mechanism for a multiple-good monopolist," Journal of Economic Theory, Elsevier, vol. 127(1), pages 1-35, March.
    17. William S. Lovejoy, 2006. "Optimal Mechanisms with Finite Agent Types," Management Science, INFORMS, vol. 52(5), pages 788-803, May.
    18. Skreta, Vasiliki, 2006. "Mechanism design for arbitrary type spaces," Economics Letters, Elsevier, vol. 91(2), pages 293-299, May.
    19. Holmstrom, Bengt, 1979. "Groves' Scheme on Restricted Domains," Econometrica, Econometric Society, vol. 47(5), pages 1137-1144, September.
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