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Robust Contracting for Sequential Search

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Listed:
  • Th'eo Durandard
  • Udayan Vaidya
  • Boli Xu

Abstract

A principal contracts with an agent who can sequentially search over projects to generate a prize. The principal knows only one of the agent's available projects and evaluates a contract by its worst-case performance. We characterize the set of robustly optimal contracts, all of which involve a minimum debt level, i.e., the agent only receives payment if the prize exceeds a certain threshold. This debt requirement is essential to prevent the agent from terminating the search too early. Our characterization encompasses several commonly observed contract formats, including pure debt, debt-plus-equity, and tranches. We also study situations where each of these contracts emerges as the unique prediction. In contrast to much of the existing robust contracting literature, linear contracts are strictly sub-optimal because they dampen the agent's search incentive.

Suggested Citation

  • Th'eo Durandard & Udayan Vaidya & Boli Xu, 2025. "Robust Contracting for Sequential Search," Papers 2504.17948, arXiv.org.
    • Handle: RePEc:arx:papers:2504.17948
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    References listed on IDEAS

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    1. Mark Armstrong & John Vickers, 2010. "A Model of Delegated Project Choice," Econometrica, Econometric Society, vol. 78(1), pages 213-244, January.
    2. Robert Kleinberg & Bo Waggoner & E. Glen Weyl, 2016. "Descending Price Optimally Coordinates Search," Papers 1603.07682, arXiv.org, revised Dec 2016.
    3. Weitzman, Martin L, 1979. "Optimal Search for the Best Alternative," Econometrica, Econometric Society, vol. 47(3), pages 641-654, May.
    4. Myers, Stewart C. & Majluf, Nicholas S., 1984. "Corporate financing and investment decisions when firms have information that investors do not have," Journal of Financial Economics, Elsevier, vol. 13(2), pages 187-221, June.
    5. Yingni Guo & Eran Shmaya, 2023. "Regret-Minimizing Project Choice," Papers 2309.00214, arXiv.org.
    6. Stewart C. Myers & Nicholas S. Majluf, 1984. "Corporate Financing and Investment Decisions When Firms Have InformationThat Investors Do Not Have," NBER Working Papers 1396, National Bureau of Economic Research, Inc.
    7. Bergemann, Dirk & Hege, Ulrich, 1998. "Venture capital financing, moral hazard, and learning," Journal of Banking & Finance, Elsevier, vol. 22(6-8), pages 703-735, August.
    8. Johannes Hörner & Larry Samuelson, 2013. "Incentives for experimenting agents," RAND Journal of Economics, RAND Corporation, vol. 44(4), pages 632-663, December.
    9. Dirk Bergemann & Ulrigh Hege, 2005. "The Financing of Innovation: Learning and Stopping," RAND Journal of Economics, The RAND Corporation, vol. 36(4), pages 719-752, Winter.
    10. Leonid Hurwicz & Leonard Shapiro, 1978. "Incentive Structures Maximizing Residual Gain under Incomplete Information," Bell Journal of Economics, The RAND Corporation, vol. 9(1), pages 180-191, Spring.
    11. repec:cwl:cwldpp:1726rrr is not listed on IDEAS
    12. Yingni Guo & Eran Shmaya, 2023. "Regret‐Minimizing Project Choice," Econometrica, Econometric Society, vol. 91(5), pages 1567-1593, September.
    13. Tianjiao Dai & Juuso Toikka, 2022. "Robust Incentives for Teams," Econometrica, Econometric Society, vol. 90(4), pages 1583-1613, July.
    14. Jensen, Michael C. & Meckling, William H., 1976. "Theory of the firm: Managerial behavior, agency costs and ownership structure," Journal of Financial Economics, Elsevier, vol. 3(4), pages 305-360, October.
    15. repec:cwl:cwldpp:1726rr is not listed on IDEAS
    16. Innes, Robert D., 1990. "Limited liability and incentive contracting with ex-ante action choices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 45-67, October.
    17. Gabriel Carroll, 2015. "Robustness and Linear Contracts," American Economic Review, American Economic Association, vol. 105(2), pages 536-563, February.
    18. Th'eo Durandard, 2023. "Dynamic delegation in promotion contests," Papers 2308.05668, arXiv.org.
    19. Ulbricht, Robert, 2016. "Optimal delegated search with adverse selection and moral hazard," Theoretical Economics, Econometric Society, vol. 11(1), January.
    20. Tracy R. Lewis, 2012. "A theory of delegated search for the best alternative," RAND Journal of Economics, RAND Corporation, vol. 43(3), pages 391-416, September.
    21. Daniel Walton & Gabriel Carroll, 2022. "A General Framework for Robust Contracting Models," Econometrica, Econometric Society, vol. 90(5), pages 2129-2159, September.
    22. Volker Nocke & Michael D. Whinston, 2013. "Merger Policy with Merger Choice," American Economic Review, American Economic Association, vol. 103(2), pages 1006-1033, April.
    23. Marina Halac & Navin Kartik & Qingmin Liu, 2016. "Optimal Contracts for Experimentation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(3), pages 1040-1091.
    24. Townsend, Robert M., 1979. "Optimal contracts and competitive markets with costly state verification," Journal of Economic Theory, Elsevier, vol. 21(2), pages 265-293, October.
    25. Gabriel Carroll, 2019. "Robustness in Mechanism Design and Contracting," Annual Review of Economics, Annual Reviews, vol. 11(1), pages 139-166, August.
    26. Kambhampati, Ashwin, 2023. "Randomization is optimal in the robust principal-agent problem," Journal of Economic Theory, Elsevier, vol. 207(C).
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