IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v71y2014icp46-52.html
   My bibliography  Save this article

Optimality of linearity with collusion and renegotiation

Author

Listed:
  • Barlo, Mehmet
  • Özdog˜an, Ayça

Abstract

This study analyzes a continuous-time N-agent Brownian moral hazard model with constant absolute risk aversion (CARA) utilities, in which agents’ actions jointly determine the mean and variance of the outcome process. In order to give a theoretical justification for the use of linear contracts, as in Holmstrom and Milgrom (1987), we consider a variant of its generalization given by Sung (1995), into which collusion and renegotiation possibilities among agents are incorporated. In this model, we prove that there exists a linear and stationary optimal compensation scheme which is also immune to collusion and renegotiation.

Suggested Citation

  • Barlo, Mehmet & Özdog˜an, Ayça, 2014. "Optimality of linearity with collusion and renegotiation," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 46-52.
  • Handle: RePEc:eee:matsoc:v:71:y:2014:i:c:p:46-52
    DOI: 10.1016/j.mathsocsci.2014.04.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165489614000407
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.mathsocsci.2014.04.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-1367, November.
    2. Noah Williams, 2004. "On Dynamic Principal-Agent Problems in Continuous Time," Levine's Bibliography 122247000000000426, UCLA Department of Economics.
    3. Yeon-Koo Che & Seung-Weon Yoo, 2001. "Optimal Incentives for Teams," American Economic Review, American Economic Association, vol. 91(3), pages 525-541, June.
    4. 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.
    5. 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.
    6. Bengt Holmstrom, 1982. "Moral Hazard in Teams," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 324-340, Autumn.
    7. Francine Lafontaine, 1992. "Agency Theory and Franchising: Some Empirical Results," RAND Journal of Economics, The RAND Corporation, vol. 23(2), pages 263-283, Summer.
    8. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    9. Brennan, M. J. & Kraus, Alan, 1978. "Necessary Conditions for Aggregation in Securities Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(3), pages 407-418, September.
    10. Grossman, Sanford J & Hart, Oliver D, 1983. "An Analysis of the Principal-Agent Problem," Econometrica, Econometric Society, vol. 51(1), pages 7-45, January.
    11. Mehmet Barlo & Ayça Özdoğan, 2013. "The Optimality of Team Contracts," Games, MDPI, vol. 4(4), pages 1-20, November.
    12. Hyeng Keun Koo & Gyoocheol Shim & Jaeyoung Sung, 2008. "Optimal Multi‐Agent Performance Measures For Team Contracts," Mathematical Finance, Wiley Blackwell, vol. 18(4), pages 649-667, October.
    13. Itoh Hideshi, 1993. "Coalitions, Incentives, and Risk Sharing," Journal of Economic Theory, Elsevier, vol. 60(2), pages 410-427, August.
    14. Bone, John, 1998. "Risk-sharing CARA individuals are collectively EU," Economics Letters, Elsevier, vol. 58(3), pages 311-317, March.
    15. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-1190, September.
    16. Slade, Margaret E, 1996. "Multitask Agency and Contract Choice: An Empirical Exploration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(2), pages 465-486, May.
    17. Cvitanic Jaksa & Wan Xuhu & Zhang Jianfeng, 2008. "Principal-Agent Problems with Exit Options," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-43, October.
    18. 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.
    19. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Barlo, Mehmet & Ayca, Ozdogan, 2012. "Team beats collusion," MPRA Paper 37449, University Library of Munich, Germany.
    2. Mehmet Barlo & Ayça Özdoğan, 2013. "The Optimality of Team Contracts," Games, MDPI, vol. 4(4), pages 1-20, November.

    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. Romuald Elie & Dylan Possamai, 2016. "Contracting theory with competitive interacting agents," Papers 1605.08099, arXiv.org.
    2. Barlo, Mehmet & Ayca, Ozdogan, 2012. "Team beats collusion," MPRA Paper 37449, University Library of Munich, Germany.
    3. 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.
    4. Jaeyoung Sung, 2005. "Optimal Contracts Under Adverse Selection and Moral Hazard: A Continuous-Time Approach," Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 1021-1073.
    5. Mehmet Barlo & Ayça Özdoğan, 2013. "The Optimality of Team Contracts," Games, MDPI, vol. 4(4), pages 1-20, November.
    6. Kim, Son Ku & Wang, Susheng, 1998. "Linear Contracts and the Double Moral-Hazard," Journal of Economic Theory, Elsevier, vol. 82(2), pages 342-378, October.
    7. 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.
    8. Egil Matsen, 2005. "Portfolio choice when managers control returns," Working Paper 2005/15, Norges Bank.
    9. Nadide Banu Olcay, 2016. "Dynamic incentive contracts with termination threats," Review of Economic Design, Springer;Society for Economic Design, vol. 20(4), pages 255-288, December.
    10. 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.
    11. Jessica Martin & Stéphane Villeneuve, 2023. "Risk-sharing and optimal contracts with large exogenous risks," Post-Print hal-04164688, HAL.
    12. Alex Edmans & Xavier Gabaix, 2011. "Tractability in Incentive Contracting," Review of Financial Studies, Society for Financial Studies, vol. 24(9), pages 2865-2894.
    13. Emma Hubert, 2020. "Continuous-time incentives in hierarchies," Papers 2007.10758, arXiv.org.
    14. 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.
    15. Alex Edmans & Xavier Gabaix, 2016. "Executive Compensation: A Modern Primer," Journal of Economic Literature, American Economic Association, vol. 54(4), pages 1232-1287, December.
    16. 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.
    17. Bartsch, Elga, 1996. "Enforcement of environmental liability in the case of uncertain causality and asymmetric information," Kiel Working Papers 755, Kiel Institute for the World Economy (IfW Kiel).
    18. Thibaut Mastrolia & Dylan Possamai, 2015. "Moral hazard under ambiguity," Papers 1511.03616, arXiv.org, revised Oct 2016.
    19. Nicolás Hernández Santibáñez & Dylan Possamaï & Chao Zhou, 2020. "Bank monitoring incentives under moral hazard and adverse selection," Post-Print hal-01435460, HAL.
    20. Kerem Ugurlu, 2018. "Dynamic optimal contract under parameter uncertainty with risk averse agent and principal," Papers 1806.01495, arXiv.org.

    More about this item

    JEL classification:

    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    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:eee:matsoc:v:71:y:2014:i:c:p:46-52. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505565 .

    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.