IDEAS home Printed from https://ideas.repec.org/a/bla/mathfi/v18y2008i4p649-667.html
   My bibliography  Save this article

Optimal Multi‐Agent Performance Measures For Team Contracts

Author

Listed:
  • Hyeng Keun Koo
  • Gyoocheol Shim
  • Jaeyoung Sung

Abstract

We present a continuous‐time contracting model under moral hazard with many agents. The principal contracts many agents as a team, and they jointly produce correlated outcomes. We show the optimal contract for each agent is linear in outcomes of all other agents as well as his/her own. The structure of the optimal contract strikingly reveals that the optimal aggregate performance measure in general can be orthogonally decomposed into two statistics: one is a sufficient statistic, and the other a nonsufficient statistic. As a consequence, the optimal aggregate performance measure in general is not a sufficient statistic, unless the principal is risk neutral. We further discuss agents' optimal effort choices using a “quadratic‐cost” example, which also strikingly suggests that team contracts sometimes provide lower‐powered effort incentives than individually separate contracts do.

Suggested Citation

  • 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.
    • Handle: RePEc:bla:mathfi:v:18:y:2008:i:4:p:649-667
    DOI: 10.1111/j.1467-9965.2008.00352.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-9965.2008.00352.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-9965.2008.00352.x?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
    ---><---

    References listed on IDEAS

    as
    1. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    2. Hui Ou-Yang, 2005. "An Equilibrium Model of Asset Pricing and Moral Hazard," The Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1253-1303.
    3. Robert Gibbons & Kevin J. Murphy, 1990. "Relative Performance Evaluation for Chief Executive Officers," ILR Review, Cornell University, ILR School, vol. 43(3), pages 30, April.
    4. Dilip Mookherjee, 1984. "Optimal Incentive Schemes with Many Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(3), pages 433-446.
    5. Bengt Holmstrom, 1982. "Moral Hazard in Teams," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 324-340, Autumn.
    6. Sung, Jaeyoung, 1997. "Corporate Insurance and Managerial Incentives," Journal of Economic Theory, Elsevier, vol. 74(2), pages 297-332, June.
    7. 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.
    8. Barry J. Nalebuff & Joseph E. Stiglitz, 1983. "Prices and Incentives: Towards a General Theory of Compensation and Competition," Bell Journal of Economics, The RAND Corporation, vol. 14(1), pages 21-43, Spring.
    9. Dye, Ra, 1992. "Relative Performance Evaluation And Project Selection," Journal of Accounting Research, Wiley Blackwell, vol. 30(1), pages 27-52.
    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. Collins, Alan R. & Maille, Peter, 2011. "Group decision-making theory and behavior under performance-based water quality payments," Ecological Economics, Elsevier, vol. 70(4), pages 806-812, February.
    2. Romuald Elie & Dylan Possamai, 2016. "Contracting theory with competitive interacting agents," Papers 1605.08099, arXiv.org.
    3. Qi Luo & Romesh Saigal, 2020. "Dynamic Multiagent Incentive Contracts: Existence, Uniqueness, and Implementation," Mathematics, MDPI, vol. 9(1), pages 1-17, December.
    4. Barlo, Mehmet & Özdog˜an, Ayça, 2014. "Optimality of linearity with collusion and renegotiation," Mathematical Social Sciences, Elsevier, vol. 71(C), pages 46-52.
    5. Boualem Djehiche & Peter Helgesson, 2015. "The Principal-Agent Problem With Time Inconsistent Utility Functions," Papers 1503.05416, arXiv.org.
    6. Marcel Nutz & Yuchong Zhang, 2019. "A Mean Field Competition," Management Science, INFORMS, vol. 44(4), pages 1245-1263, November.
    7. Romuald Elie & Emma Hubert & Thibaut Mastrolia & Dylan Possamai, 2019. "Mean-field moral hazard for optimal energy demand response management," Papers 1902.10405, arXiv.org, revised Mar 2020.
    8. Yasuaki Wasa & Ken-Ichi Akao & Kenko Uchida, 2020. "Optimal Dynamic Incentive Contracts between a Principal and Multiple Agents in Controlled Markov Processes: A Constructive Approach," RIEEM Discussion Paper Series 2001, Research Institute for Environmental Economics and Management, Waseda University.
    9. Romuald Elie & Thibaut Mastrolia & Dylan Possamaï, 2019. "A Tale of a Principal and Many, Many Agents," Mathematics of Operations Research, INFORMS, vol. 44(2), pages 440-467, May.
    10. Marcel Nutz & Yuchong Zhang, 2017. "A Mean Field Competition," Papers 1708.01308, arXiv.org.

    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. repec:eee:labchp:v:3:y:1999:i:pb:p:2373-2437 is not listed on IDEAS
    2. Agranov, Marina & Tergiman, Chloe, 2013. "Incentives and compensation schemes: An experimental study," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 238-247.
    3. Romuald Elie & Dylan Possamai, 2016. "Contracting theory with competitive interacting agents," Papers 1605.08099, arXiv.org.
    4. Ge Bai & Ranjani Krishnan, 2016. "Effects of Ambiguous Common Uncertainty on Employee Preference for Relative Performance Contracts," The Japanese Accounting Review, Research Institute for Economics & Business Administration, Kobe University, vol. 6, pages 65-93, December.
    5. Ola Kvaløy & Trond E. Olsen, 2006. "Team Incentives in Relational Employment Contracts," Journal of Labor Economics, University of Chicago Press, vol. 24(1), pages 139-170, January.
    6. Potters, Jan & Rockenbach, Bettina & Sadrieh, Abdolkarim & van Damme, Eric, 2004. "Collusion under yardstick competition: an experimental study," International Journal of Industrial Organization, Elsevier, vol. 22(7), pages 1017-1038, September.
    7. Ola Kvaløy & Trond E. Olsen, 2012. "The Rise of Individual Performance Pay," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 21(2), pages 493-518, June.
    8. Do, Truc & Zhang, Huai & Zuo, Luo, 2022. "Rocking the boat: How relative performance evaluation affects corporate risk taking," Journal of Accounting and Economics, Elsevier, vol. 73(1).
    9. Hitoshi Matsushima, 2010. "Role Of Relative And Absolute Performance Evaluations In Intergroup Competition," The Japanese Economic Review, Japanese Economic Association, vol. 61(4), pages 443-454, December.
    10. Imhof, Lorens & Kräkel, Matthias, 2014. "Bonus pools and the informativeness principle," European Economic Review, Elsevier, vol. 66(C), pages 180-191.
    11. Awaya, Yu & Do, Jihwan, 2022. "Incentives under equal-pay constraint and subjective peer evaluation," Games and Economic Behavior, Elsevier, vol. 135(C), pages 41-59.
    12. Gerald J. Lobo & Michael Neel & Adrienne Rhodes, 2018. "Accounting comparability and relative performance evaluation in CEO compensation," Review of Accounting Studies, Springer, vol. 23(3), pages 1137-1176, September.
    13. William Chan & Priscilla Man, 2012. "Help and Factionalism in Politics and Organizations," Southern Economic Journal, John Wiley & Sons, vol. 79(1), pages 144-160, July.
    14. Donald Vandegrift & Abdullah Yavas & Paul Brown, 2007. "Incentive effects and overcrowding in tournaments: An experimental analysis," Experimental Economics, Springer;Economic Science Association, vol. 10(4), pages 345-368, December.
    15. repec:eee:labchp:v:3:y:1999:i:pb:p:2485-2563 is not listed on IDEAS
    16. Rajesh K. Aggarwal & Andrew A. Samwick, 1999. "Executive Compensation, Strategic Competition, and Relative Performance Evaluation: Theory and Evidence," Journal of Finance, American Finance Association, vol. 54(6), pages 1999-2043, December.
    17. Carlos Jiménez-Angueira & Nathan Stuart, 2015. "Relative performance evaluation, pay-for-luck, and double-dipping in CEO compensation," Review of Quantitative Finance and Accounting, Springer, vol. 44(4), pages 701-732, May.
    18. Edward P. Lazear, 1995. "Personnel Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121883, December.
    19. Bottasso, Anna & Conti, Maurizio, 2003. "Cost Inefficiency in the English and Welsh Water Industry: An Heteroskedastic Stochastic Cost Frontier Approach," Economics Discussion Papers 8872, University of Essex, Department of Economics.
    20. Ewerhart, Christian, 2016. "An envelope approach to tournament design," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 1-9.
    21. Francis, Bill & Hasan, Iftekhar & Mani, Sureshbabu & Ye, Pengfei, 2016. "Relative peer quality and firm performance," Journal of Financial Economics, Elsevier, vol. 122(1), pages 196-219.
    22. Benno Torgler & Sascha L. Schmidt & Bruno S. Frey, 2006. "The Power of Positional Concerns: A Panel Analysis," CREMA Working Paper Series 2006-19, Center for Research in Economics, Management and the Arts (CREMA).

    More about this item

    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:bla:mathfi:v:18:y:2008:i:4:p:649-667. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0960-1627 .

    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.