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Contracting for Information: Heterogeneous Costs and Investment Opportunities

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  • Han Wang

Abstract

A principal faces a decision problem under uncertainty and can contract with a researcher to provide relevant information. The cost of acquiring information is only known to the researcher, and, moreover, by privately making an investment the researcher can reduce their expected cost. We characterize optimal contracts by reducing the problem to information design with cost constraints. The principal induces investment below a cutoff in its sunk cost. With two cost types, investment may be underprovided but is never excessive relative to the first best. With more types, the cutoff property survives but overinvestment can occur. Investment incentives also reshape information acquisition: optimal experiments may need to generate more distinct beliefs than there are possible states, and their design can be sensitive to the principal's initial beliefs.

Suggested Citation

  • Han Wang, 2026. "Contracting for Information: Heterogeneous Costs and Investment Opportunities," Papers 2609.15019, arXiv.org, revised Sep 2026.
  • Handle: RePEc:arx:papers:2609.15019
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    References listed on IDEAS

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    1. Nathan Yoder, 2022. "Designing Incentives for Heterogeneous Researchers," Journal of Political Economy, University of Chicago Press, vol. 130(8), pages 2018-2054.
    2. Andrew Caplin & Mark Dean & John Leahy, 2022. "Rationally Inattentive Behavior: Characterizing and Generalizing Shannon Entropy," Journal of Political Economy, University of Chicago Press, vol. 130(6), pages 1676-1715.
    3. Hart, Oliver & Moore, John, 1990. "Property Rights and the Nature of the Firm," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1119-1158, December.
    4. Carroll, Gabriel, 2019. "Robust incentives for information acquisition," Journal of Economic Theory, Elsevier, vol. 181(C), pages 382-420.
    5. Min, Daehong, 2023. "Screening for experiments," Games and Economic Behavior, Elsevier, vol. 142(C), pages 73-100.
    6. Anh Nguyen & Teck Yong Tan, 2019. "Information control in the hold‐up problem," RAND Journal of Economics, RAND Corporation, vol. 50(4), pages 768-786, December.
    7. Le Treust, Maël & Tomala, Tristan, 2019. "Persuasion with limited communication capacity," Journal of Economic Theory, Elsevier, vol. 184(C).
    8. Grossman, Sanford J & Hart, Oliver D, 1986. "The Costs and Benefits of Ownership: A Theory of Vertical and Lateral Integration," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 691-719, August.
    9. Ilya Segal & Michael D. Whinston, 2016. "Property Rights and the Efficiency of Bargaining," Journal of the European Economic Association, European Economic Association, vol. 14(6), pages 1287-1328.
    10. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
    11. Alex Gershkov & Benny Moldovanu & Philipp Strack & Mengxi Zhang, 2021. "A Theory of Auctions with Endogenous Valuations," Journal of Political Economy, University of Chicago Press, vol. 129(4), pages 1011-1051.
    12. Bin Liu & Jingfeng Lu, 2022. "Sequential Screening with Type-Enhancing Investment," American Economic Journal: Microeconomics, American Economic Association, vol. 14(4), pages 25-57, November.
    13. Tirole, Jean, 1986. "Procurement and Renegotiation," Journal of Political Economy, University of Chicago Press, vol. 94(2), pages 235-259, April.
    14. Ilya Segal & Michael D. Whinston, 2016. "Property Rights And The Efficiency Of Bargaining," Journal of the European Economic Association, European Economic Association, vol. 14(6), pages 1287-1328, December.
    15. Osband, Kent, 1989. "Optimal Forecasting Incentives," Journal of Political Economy, University of Chicago Press, vol. 97(5), pages 1091-1112, October.
    16. Wang, Han, 2025. "Contracting with heterogeneous researchers," Games and Economic Behavior, Elsevier, vol. 150(C), pages 278-294.
    17. Azrieli, Yaron, 2022. "Delegated expertise: Implementability with peer-monitoring," Games and Economic Behavior, Elsevier, vol. 132(C), pages 240-254.
    18. Asseyer, Andreas, 2025. "Information orders in screening problems," Journal of Economic Theory, Elsevier, vol. 225(C).
    19. Samuel Häfner & Curtis R. Taylor, 2022. "On young Turks and yes men: optimal contracting for advice," RAND Journal of Economics, RAND Corporation, vol. 53(1), pages 63-94, March.
    20. Salil Sharma & Elias Tsakas & Mark Voorneveld, 2025. "Procuring Unverifiable Information," Mathematics of Operations Research, INFORMS, vol. 50(2), pages 1433-1453, May.
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