IDEAS home Printed from https://ideas.repec.org/p/tky/fseres/2021cf1182.html
   My bibliography  Save this paper

Principal-Agent Problems with Hidden Savings in Continuous Time

Author

Listed:
  • Tomoyuki Nakajima

    (Faculty of Economics, The University of Tokyo)

Abstract

In this paper, we consider a continuous-time principal-agent problem with hidden savings. The agent’s problem, which is non-Markovian, is formulated using the stochas- tic HJB equation. Without loss of generality, attention is restricted to those contracts for which the agent optimally chooses zero savings. Then, the principal’s problem can be ex- pressed as maximizing her expected profit subject to two SDEs: one equation describing the agent’s continuation utility process, and the other being the Euler equation concern- ing the agent’s marginal utility process. It coincides with the formulation obtained under the first-order approach.

Suggested Citation

  • Tomoyuki Nakajima, 2021. "Principal-Agent Problems with Hidden Savings in Continuous Time," CIRJE F-Series CIRJE-F-1182, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:2021cf1182
    as

    Download full text from publisher

    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2021/2021cf1182.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Yuliy Sannikov, 2008. "A Continuous-Time Version of the Principal-Agent Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 957-984.
    2. Mitchell, Matthew & Zhang, Yuzhe, 2010. "Unemployment insurance with hidden savings," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2078-2107, November.
    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. Francesc Dilmé & Daniel F. Garrett, 2023. "Relational Contracts: Public versus Private Savings," Econometrica, Econometric Society, vol. 91(3), pages 1025-1075, May.
    2. Shan, Yaping, 2019. "Incentives for research agents and performance-vested equity-based compensation," Journal of Economic Dynamics and Control, Elsevier, vol. 102(C), pages 44-69.
    3. Williams, Noah, 2015. "A solvable continuous time dynamic principal–agent model," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 989-1015.
    4. Arve, Malin & Zwart, Gijsbert, 2023. "Optimal procurement and investment in new technologies under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 147(C).
    5. Giat, Yahel & Subramanian, Ajay, 2013. "Dynamic contracting under imperfect public information and asymmetric beliefs," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2833-2861.
    6. Martin Peitz & Sven Rady & Piers Trepper, 2017. "Experimentation in Two-Sided Markets," Journal of the European Economic Association, European Economic Association, vol. 15(1), pages 128-172.
    7. Grochulski, Borys & Zhang, Yuzhe, 2011. "Optimal risk sharing and borrowing constraints in a continuous-time model with limited commitment," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2356-2388.
    8. Jukka Isohätälä & Alistair Milne & Donald Robertson, 2020. "The Net Worth Trap: Investment and Output Dynamics in the Presence of Financing Constraints," Mathematics, MDPI, vol. 8(8), pages 1-32, August.
    9. Shouqiang Wang & Peng Sun & Francis de Véricourt, 2016. "Inducing Environmental Disclosures: A Dynamic Mechanism Design Approach," Operations Research, INFORMS, vol. 64(2), pages 371-389, April.
    10. Pagès, Henri, 2013. "Bank monitoring incentives and optimal ABS," Journal of Financial Intermediation, Elsevier, vol. 22(1), pages 30-54.
    11. Wang, Cheng, 2011. "Termination of dynamic contracts in an equilibrium labor market model," Journal of Economic Theory, Elsevier, vol. 146(1), pages 74-110, January.
    12. Miao, Jianjun & Zhang, Yuzhe, 2015. "A duality approach to continuous-time contracting problems with limited commitment," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 929-988.
    13. Jaeyoung Sung, 2022. "Optimal contracting under mean-volatility joint ambiguity uncertainties," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(2), pages 593-642, September.
    14. Martin Szydlowski, 2012. "Ambiguity in Dynamic Contracts," Discussion Papers 1543, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    15. James Mirrlees & Roberto Raimondo, 2013. "Strategies in the principal-agent model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(3), pages 605-656, August.
    16. Eisfeldt, Andrea L. & Kuhnen, Camelia M., 2013. "CEO turnover in a competitive assignment framework," Journal of Financial Economics, Elsevier, vol. 109(2), pages 351-372.
    17. Abdelsalam, Omneya & Elnahass, Marwa & Ahmed, Habib & Williams, Julian, 2022. "Asset securitizations and bank stability: Evidence from different banking systems," Global Finance Journal, Elsevier, vol. 51(C).
    18. ,, 2015. "Unraveling in a repeated moral hazard model with multiple agents," Theoretical Economics, Econometric Society, vol. 10(1), January.
    19. Prat, Julien, 2014. "Dynamic Contracts and Learning by Doing," IZA Discussion Papers 7961, Institute of Labor Economics (IZA).
    20. Rui Li & Dana Kiku & Hengjie Ai, 2014. "A Mechanism Design Model of Firm Dynamics: The Case of Limited Commitment," 2014 Meeting Papers 855, Society for Economic Dynamics.

    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:tky:fseres:2021cf1182. 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: CIRJE administrative office (email available below). General contact details of provider: https://edirc.repec.org/data/ritokjp.html .

    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.