IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1806.01495.html
   My bibliography  Save this paper

Dynamic optimal contract under parameter uncertainty with risk averse agent and principal

Author

Listed:
  • Kerem Ugurlu

Abstract

We consider a continuous time Principal-Agent model on a finite time horizon, where we look for the existence of an optimal contract both parties agreed on. Contrary to the main stream, where the principal is modelled as risk-neutral, we assume that both the principal and the agent have exponential utility, and are risk averse with same risk awareness level. Moreover, the agent's quality is unknown and modelled as a filtering term in the problem, which is revealed as time passes by. The principal can not observe the agent's real action, but can only recommend action levels to the agent. Hence, we have a \textit{moral hazard} problem. In this setting, we give an explicit solution to the optimal contract problem.

Suggested Citation

  • Kerem Ugurlu, 2018. "Dynamic optimal contract under parameter uncertainty with risk averse agent and principal," Papers 1806.01495, arXiv.org.
  • Handle: RePEc:arx:papers:1806.01495
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1806.01495
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Martin F. Hellwig & Klaus M. Schmidt, 2002. "Discrete-Time Approximations of the Holmstrom-Milgrom Brownian-Motion Model of Intertemporal Incentive Provision," Econometrica, Econometric Society, vol. 70(6), pages 2225-2264, November.
    2. Jovanovic, Boyan & Prat, Julien, 2010. "Dynamic Incentive Contracts under Parameter Uncertainty," CEPR Discussion Papers 8136, C.E.P.R. Discussion Papers.
    3. Sung, Jaeyoung, 1997. "Corporate Insurance and Managerial Incentives," Journal of Economic Theory, Elsevier, vol. 74(2), pages 297-332, June.
    4. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    5. , & ,, 2014. "Dynamic contracts when agent's quality is unknown," Theoretical Economics, Econometric Society, vol. 9(3), September.
    6. Jaeyoung Sung, 1995. "Linearity with Project Selection and Controllable Diffusion Rate in Continuous-Time Principal-Agent Problems," RAND Journal of Economics, The RAND Corporation, vol. 26(4), pages 720-743, Winter.
    7. Williams, Noah, 2015. "A solvable continuous time dynamic principal–agent model," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 989-1015.
    8. 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.
    9. Schattler, Heinz & Sung, Jaeyoung, 1997. "On optimal sharing rules in discrete-and continuous-time principal-agent problems with exponential utility," Journal of Economic Dynamics and Control, Elsevier, vol. 21(2-3), pages 551-574.
    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. Thibaut Mastrolia & Dylan Possamai, 2015. "Moral hazard under ambiguity," Papers 1511.03616, arXiv.org, revised Oct 2016.
    2. Jakša Cvitanić & Xuhu Wan & Huali Yang, 2013. "Dynamics of Contract Design with Screening," Management Science, INFORMS, vol. 59(5), pages 1229-1244, May.
    3. Jakv{s}a Cvitani'c & Dylan Possamai & Nizar Touzi, 2015. "Dynamic programming approach to principal-agent problems," Papers 1510.07111, arXiv.org, revised Jan 2017.
    4. Jessica Martin & Stéphane Villeneuve, 2023. "Risk-sharing and optimal contracts with large exogenous risks," Post-Print hal-04164688, HAL.
    5. Emma Hubert, 2020. "Continuous-time incentives in hierarchies," Papers 2007.10758, arXiv.org.
    6. Jessica Martin & Stéphane Villeneuve, 2023. "Risk-sharing and optimal contracts with large exogenous risks," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 46(1), pages 1-43, June.
    7. Jakša Cvitanić & Dylan Possamaï & Nizar Touzi, 2018. "Dynamic programming approach to principal–agent problems," Finance and Stochastics, Springer, vol. 22(1), pages 1-37, January.
    8. Romuald Elie & Dylan Possamai, 2016. "Contracting theory with competitive interacting agents," Papers 1605.08099, arXiv.org.
    9. Dylan Possamai & Nizar Touzi, 2020. "Is there a Golden Parachute in Sannikov's principal-agent problem?," Papers 2007.05529, arXiv.org, revised Oct 2022.
    10. 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.
    11. 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.
    12. Barlo, Mehmet & Özdog˜an, Ayça, 2014. "Optimality of linearity with collusion and renegotiation," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 46-52.
    13. Keiichi Hori & Hiroshi Osano, 2013. "Managerial Incentives and the Role of Advisors in the Continuous-Time Agency Model," The Review of Financial Studies, Society for Financial Studies, vol. 26(10), pages 2620-2647.
    14. Camilo Hern'andez & Dylan Possamai, 2023. "Time-inconsistent contract theory," Papers 2303.01601, arXiv.org.
    15. Jaeyoung Sung, 2005. "Optimal Contracts Under Adverse Selection and Moral Hazard: A Continuous-Time Approach," The Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 1021-1073.
    16. Jianjun Miao & Alejandro Rivera, 2016. "Robust Contracts in Continuous Time," Econometrica, Econometric Society, vol. 84, pages 1405-1440, July.
    17. Villeneuve, Stéphane & Abi Jaber, Eduardo, 2022. "Gaussian Agency problems with memory and Linear Contracts," TSE Working Papers 22-1363, Toulouse School of Economics (TSE).
    18. Thibaut Mastrolia & Zhenjie Ren, 2018. "Principal-Agent Problem with Common Agency without Communication," Working Papers hal-01534611, HAL.
    19. Eduardo Abi Jaber & Stéphane Villeneuve, 2022. "Gaussian Agency problems with memory and Linear Contracts," Post-Print hal-03783062, HAL.
    20. Han, Jinhui & Ma, Guiyuan & Yam, Sheung Chi Phillip, 2022. "Relative performance evaluation for dynamic contracts in a large competitive market," European Journal of Operational Research, Elsevier, vol. 302(2), pages 768-780.

    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:1806.01495. 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.