IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2602.20087.html

Screening Frontiers

Author

Listed:
  • Frank Yang

Abstract

A principal screens an agent with an arbitrary set of allocations $X$. The agent's preferences over allocations are comonotonic. A subset of allocations $X^*\subseteq X$ is a surplus-elasticity frontier if (i) any other allocation has a demand curve that is pointwise lower and less elastic than some allocation in $X^*$ and (ii) the allocations in $X^*$ can be ordered in terms of their demand curves such that a higher demand curve is more inelastic. We show that any surplus-elasticity frontier is an optimal menu. Moreover, if the incremental demand curves along the frontier are also ordered by their elasticities, then the frontier is optimal even among stochastic mechanisms. The result is agnostic to type distributions and redistributive welfare weights -- the same frontier remains optimal for a broad class of objectives. As applications, we show how these results immediately yield new insights into optimal bundling, optimal taxation, sequential screening, selling information, and regulating a data-rich monopolist.

Suggested Citation

  • Frank Yang, 2026. "Screening Frontiers," Papers 2602.20087, arXiv.org.
  • Handle: RePEc:arx:papers:2602.20087
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2602.20087
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Nima Haghpanah & Jason Hartline, 2021. "When Is Pure Bundling Optimal? [Commodity Bundling and the Burden of Monopoly]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(3), pages 1127-1156.
    2. Lewis, Tracy R & Sappington, David E M, 1994. "Supplying Information to Facilitate Price Discrimination," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 35(2), pages 309-327, May.
    3. Paweł Doligalski & Piotr Dworczak & Mohammad Akbarpour & Scott Duke Kominers*, 2025. "Optimal Redistribution via Income Taxation and Market Design," Bristol Economics Discussion Papers 25/787, School of Economics, University of Bristol, UK.
    4. Gabriel Carroll, 2017. "Robustness and Separation in Multidimensional Screening," Econometrica, Econometric Society, vol. 85, pages 453-488, March.
    5. Antoine Ferey & Benjamin B. Lockwood & Dmitry Taubinsky, 2024. "Sufficient Statistics for Nonlinear Tax Systems with General Across-Income Heterogeneity," American Economic Review, American Economic Association, vol. 114(10), pages 3206-3249, October.
    6. Eric T. Anderson & James D. Dana, Jr., 2009. "When Is Price Discrimination Profitable?," Management Science, INFORMS, vol. 55(6), pages 980-989, June.
    7. Strausz, Roland, 2003. "Deterministic mechanisms and the revelation principle," Economics Letters, Elsevier, vol. 79(3), pages 333-337, June.
    8. Péter Eső & Balázs Szentes, 2007. "Optimal Information Disclosure in Auctions and the Handicap Auction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 705-731.
    9. Kristóf Madarász & Andrea Prat, 2017. "Sellers with Misspecified Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(2), pages 790-815.
    10. John Riley & Richard Zeckhauser, 1983. "Optimal Selling Strategies: When to Haggle, When to Hold Firm," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 267-289.
    11. Alessandro Pavan & Ilya Segal & Juuso Toikka, 2014. "Dynamic Mechanism Design: A Myersonian Approach," Econometrica, Econometric Society, vol. 82(2), pages 601-653, March.
    12. Mikhail Golosov & Ilia Krasikov, 2025. "The Optimal Taxation of Couples," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 140(3), pages 2163-2211.
    13. Soheil Ghili, 2023. "A Characterization for Optimal Bundling of Products with Nonadditive Values," American Economic Review: Insights, American Economic Association, vol. 5(3), pages 311-326, September.
    14. Gerhard Winkler, 1988. "Extreme Points of Moment Sets," Mathematics of Operations Research, INFORMS, vol. 13(4), pages 581-587, November.
    15. Agathe Pernoud & Frank Yang, 2025. "Bundling against Learning," Papers 2509.16396, arXiv.org.
    16. Justin P. Johnson & David P. Myatt, 2003. "Multiproduct Quality Competition: Fighting Brands and Product Line Pruning," American Economic Review, American Economic Association, vol. 93(3), pages 748-774, June.
    17. McAfee, R. Preston & McMillan, John, 1988. "Multidimensional incentive compatibility and mechanism design," Journal of Economic Theory, Elsevier, vol. 46(2), pages 335-354, December.
    18. 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.
    19. Nichols, Albert L & Zeckhauser, Richard J, 1982. "Targeting Transfers through Restrictions on Recipients," American Economic Review, American Economic Association, vol. 72(2), pages 372-377, May.
    20. Diamond, Peter A, 1998. "Optimal Income Taxation: An Example with a U-Shaped Pattern of Optimal Marginal Tax Rates," American Economic Review, American Economic Association, vol. 88(1), pages 83-95, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Burkett, Justin & Woodward, Kyle, 2025. "Intertemporal allocation with unknown discounting," Journal of Economic Theory, Elsevier, vol. 227(C).
    2. Eric Gao, 2025. "Multidimensional Sequential Screening," Papers 2512.23274, arXiv.org, revised May 2026.
    3. Frank Yang, 2021. "Costly Multidimensional Screening," Papers 2109.00487, arXiv.org, revised Sep 2025.
    4. Bikhchandani, Sushil & Mishra, Debasis, 2022. "Selling two identical objects," Journal of Economic Theory, Elsevier, vol. 200(C).
    5. Patrick Lahr & Axel Niemeyer, 2024. "Extreme Points in Multi-Dimensional Screening," Papers 2412.00649, arXiv.org, revised Oct 2025.
    6. Mark Armstrong, 2016. "Nonlinear Pricing," Annual Review of Economics, Annual Reviews, vol. 8(1), pages 583-614, October.
    7. Sergiu Hart & Noam Nisan, 2013. "Selling Multiple Correlated Goods: Revenue Maximization and Menu-Size Complexity (old title: "The Menu-Size Complexity of Auctions")," Papers 1304.6116, arXiv.org, revised Nov 2018.
    8. 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.
    9. Yeon-Koo Che & Weijie Zhong, 2021. "Robustly Optimal Mechanisms for Selling Multiple Goods," Papers 2105.02828, arXiv.org, revised Aug 2024.
    10. Rochet, Jean-Charles, 2024. "Multidimensional screening after 37 years," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    11. Hedyeh Beyhaghi & Linda Cai & Yiding Feng & Yingkai Li & S. Matthew Weinberg, 2025. "Competition Complexity in Multi-Item Auctions: Beyond VCG and Regularity," Papers 2506.09291, arXiv.org.
    12. Devanur, Nikhil R. & Haghpanah, Nima & Psomas, Alexandros, 2020. "Optimal multi-unit mechanisms with private demands," Games and Economic Behavior, Elsevier, vol. 121(C), pages 482-505.
    13. Zhiming Feng, 2025. "A Constructive Characterization of Optimal Bundling," Papers 2502.07863, arXiv.org, revised Oct 2025.
    14. Komal Malik & Kolagani Paramahamsa, 2024. "Selling two complementary goods," International Journal of Game Theory, Springer;Game Theory Society, vol. 53(2), pages 423-447, June.
    15. Schäfers, Sebastian, 2022. "Product Lotteries and Loss Aversion," Working papers 2022/06, Faculty of Business and Economics - University of Basel.
    16. Sergiu Hart & Noam Nisan, 2025. "The Root of Revenue Continuity," Papers 2507.15735, arXiv.org, revised Jan 2026.
    17. Komal Malik & Kolagani Paramahamsa, 2020. "Selling two complementary goods," Papers 2011.05840, arXiv.org, revised Jul 2022.
    18. Soheil Ghili & Russ Yoon, 2023. "An Empirical Analysis of Optimal Nonlinear Pricing in Business-to-Business Markets," Papers 2302.11643, arXiv.org, revised Aug 2024.
    19. Mierendorff, Konrad, 2016. "Optimal dynamic mechanism design with deadlines," Journal of Economic Theory, Elsevier, vol. 161(C), pages 190-222.
    20. Pham, Hien, 2023. "How Information Design Shapes Optimal Selling Mechanisms," MPRA Paper 120989, University Library of Munich, Germany, revised 06 Mar 2024.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2602.20087. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.