IDEAS home Printed from https://ideas.repec.org/p/grz/wpaper/2018-11.html
   My bibliography  Save this paper

Delegated Project Search

Author

Listed:
  • Xi Chen

    (Nanjing University, China)

  • Yu Chen

    (University of Graz, Austria)

  • Xuhu Wan

    (Hong Kong University of Science and Technology, Hong Kong)

Abstract

This paper explores a new continuous-time principal-agent problem for a firm with both moral hazard and adverse selection. Adverse selection appears at random times. The agent finds projects sequentially by exerting costly effort. Each project brings output to the firm, subject to the agent’s private shocks. These serial shocks are i.i.d and independent of the arrival time of new projects and the agent’s efforts. The shocks and efforts constitute the agent’s asymmetric information. We provide a full characterization of optimal contracts in which moral hazard effect and adverse selection effects interact. The second-best contract with moral hazard can achieve first-best efficiency, and third-best contract with the moral hazard and adverse selection can achieve second-best efficiency under pure adverse selection, if the agent is expectably rich enough. The payment is front-loaded under pure moral hazard. When moral hazard is combined with adverse selection, the payment can be backloaded or front-loaded, depending on the level of expectable wealth.

Suggested Citation

  • Xi Chen & Yu Chen & Xuhu Wan, 2018. "Delegated Project Search," Graz Economics Papers 2018-11, University of Graz, Department of Economics.
    • Handle: RePEc:grz:wpaper:2018-11
    as

    Download full text from publisher

    File URL: http://www100.uni-graz.at/vwlwww/forschung/RePEc/wpaper/2018-11.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Patrick Bolton & Mathias Dewatripont, 2005. "Contract Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262025760, December.
    3. Zhang, Yuzhe, 2009. "Dynamic contracting with persistent shocks," Journal of Economic Theory, Elsevier, vol. 144(2), pages 635-675, March.
    4. Bengt Holmstrom & Jean Tirole, 1997. "Financial Intermediation, Loanable Funds, and The Real Sector," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(3), pages 663-691.
    5. Tomasz Sadzik & Ennio Stacchetti, 2015. "Agency Models With Frequent Actions," Econometrica, Econometric Society, vol. 83, pages 193-237, January.
    6. Andrew Atkeson & Robert E. Lucas, 1992. "On Efficient Distribution With Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(3), pages 427-453.
    7. Dirk Jenter & Fadi Kanaan, 2015. "CEO Turnover and Relative Performance Evaluation," Journal of Finance, American Finance Association, vol. 70(5), pages 2155-2184, October.
    8. Stefania Albanesi & Roc Armenter, 2012. "Intertemporal Distortions in the Second Best," Review of Economic Studies, Oxford University Press, vol. 79(4), pages 1271-1307.
    9. Stulz, ReneM., 1990. "Managerial discretion and optimal financing policies," Journal of Financial Economics, Elsevier, vol. 26(1), pages 3-27, July.
    10. Yuliy Sannikov, 2007. "Games with Imperfectly Observable Actions in Continuous Time," Econometrica, Econometric Society, vol. 75(5), pages 1285-1329, September.
    11. Stefania Albanesi & Christopher Sleet, 2006. "Dynamic Optimal Taxation with Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 1-30.
    12. Mikhail Golosov & Narayana Kocherlakota & Aleh Tsyvinski, 2003. "Optimal Indirect and Capital Taxation," Review of Economic Studies, Oxford University Press, vol. 70(3), pages 569-587.
    13. Bruno Biais & Thomas Mariotti & Jean-Charles Rochet & StÈphane Villeneuve, 2010. "Large Risks, Limited Liability, and Dynamic Moral Hazard," Econometrica, Econometric Society, vol. 78(1), pages 73-118, January.
    14. 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.
    15. Jewitt, Ian & Kadan, Ohad & Swinkels, Jeroen M., 2008. "Moral hazard with bounded payments," Journal of Economic Theory, Elsevier, vol. 143(1), pages 59-82, November.
    16. Yuliy Sannikov & Andrzej Skrzypacz, 2010. "The Role of Information in Repeated Games With Frequent Actions," Econometrica, Econometric Society, vol. 78(3), pages 847-882, May.
    17. Ulbricht, Robert, 2016. "Optimal delegated search with adverse selection and moral hazard," Theoretical Economics, Econometric Society, vol. 11(1), January.
    18. Narayana R. Kocherlakota, 2010. "The New Dynamic Public Finance," Economics Books, Princeton University Press, edition 1, number 9222.
    19. Andrey Malenko, 2011. "Optimal Design of Internal Capital Markets," 2011 Meeting Papers 442, Society for Economic Dynamics.
    20. M. Harris & C. H. Kriebel & A. Raviv, 1982. "Asymmetric Information, Incentives and Intrafirm Resource Allocation," Management Science, INFORMS, vol. 28(6), pages 604-620, June.
    21. Thomas, Jonathan & Worrall, Tim, 1990. "Income fluctuation and asymmetric information: An example of a repeated principal-agent problem," Journal of Economic Theory, Elsevier, vol. 51(2), pages 367-390, August.
    22. Fernandes, Ana & Phelan, Christopher, 2000. "A Recursive Formulation for Repeated Agency with History Dependence," Journal of Economic Theory, Elsevier, vol. 91(2), pages 223-247, April.
    23. 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.
    24. Florian Hoffmann & Sebastian Pfeil, 2010. "Reward for Luck in a Dynamic Agency Model," Review of Financial Studies, Society for Financial Studies, vol. 23(9), pages 3329-3345.
    25. Stiglitz, Joseph E & Weiss, Andrew, 1983. "Incentive Effects of Terminations: Applications to the Credit and Labor Markets," American Economic Review, American Economic Association, vol. 73(5), pages 912-927, December.
    26. Noah Williams, 2011. "Persistent Private Information," Econometrica, Econometric Society, vol. 79(4), pages 1233-1275, July.
    27. Oliver Hart, 2009. "Hold-up, Asset Ownership, and Reference Points," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(1), pages 267-300.
    28. Mark Armstrong & John Vickers, 2010. "A Model of Delegated Project Choice," Econometrica, Econometric Society, vol. 78(1), pages 213-244, January.
    29. Sylvain Chassang, 2013. "Calibrated Incentive Contracts," Econometrica, Econometric Society, vol. 81(5), pages 1935-1971, September.
    30. Bernardo, Antonio E. & Cai, Hongbin & Luo, Jiang, 2001. "Capital budgeting and compensation with asymmetric information and moral hazard," Journal of Financial Economics, Elsevier, vol. 61(3), pages 311-344, September.
    31. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    32. PETER M. DeMARZO & YULIY SANNIKOV, 2006. "Optimal Security Design and Dynamic Capital Structure in a Continuous‐Time Agency Model," Journal of Finance, American Finance Association, vol. 61(6), pages 2681-2724, December.
    33. Robin Mason & Juuso Välimäki, 2015. "Getting It Done: Dynamic Incentives To Complete A Project," Journal of the European Economic Association, European Economic Association, vol. 13(1), pages 62-97, February.
    34. Williams, Noah, 2015. "A solvable continuous time dynamic principal–agent model," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 989-1015.
    35. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
    36. Townsend, Robert M, 1982. "Optimal Multiperiod Contracts and the Gain from Enduring Relationships under Private Information," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1166-1186, December.
    37. Hart, Oliver D., 2009. "Hold-Up, Asset Ownership, and Reference Points," Scholarly Articles 34728601, Harvard University Department of Economics.
    38. Marianne Bertrand & Sendhil Mullainathan, 2001. "Are CEOs Rewarded for Luck? The Ones Without Principals Are," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(3), pages 901-932.
    39. Harris, Milton & Raviv, Artur, 1996. "The Capital Budgeting Process: Incentives and Information," Journal of Finance, American Finance Association, vol. 51(4), pages 1139-1174, September.
    40. Franklin Allen, 1983. "Credit Rationing and Payment Incentives," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 639-646.
    41. Yan Zhang, 2008. "Information asymmetry and the dismissal of newly appointed CEOs: an empirical investigation," Strategic Management Journal, Wiley Blackwell, vol. 29(8), pages 859-872, August.
    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. Say, Kelvin & Schill, Wolf-Peter & John, Michele, 2020. "Degrees of displacement: The impact of household PV battery prosumage on utility generation and storage," Applied Energy, Elsevier, vol. 276(C).
    2. Bayley, Stephen H., 2022. "Learning for adaptation and 21st-century skills: Evidence of pupils’ flexibility in Rwandan primary schools," International Journal of Educational Development, Elsevier, vol. 93(C).

    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. Golosov, M. & Tsyvinski, A. & Werquin, N., 2016. "Recursive Contracts and Endogenously Incomplete Markets," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 725-841, Elsevier.
    2. Karaivanov, Alexander K. & Martin, Fernando M., 2018. "Markov-perfect risk sharing, moral hazard and limited commitment," Journal of Economic Dynamics and Control, Elsevier, vol. 94(C), pages 1-23.
    3. Alex Edmans & Xavier Gabaix, 2016. "Executive Compensation: A Modern Primer," Journal of Economic Literature, American Economic Association, vol. 54(4), pages 1232-1287, December.
    4. Noah Williams, 2011. "Persistent Private Information," Econometrica, Econometric Society, vol. 79(4), pages 1233-1275, July.
    5. Yunmin Chen & YiLi Chien & Michael T. Owyang, 2015. "Individual and Aggregate Constrained Efficient Intertemporal Wedges in Dynamic Mirrleesian Economies," Working Papers 2015-43, Federal Reserve Bank of St. Louis.
    6. Roozbeh Hosseini & Larry E. Jones & Ali Shourideh, 2009. "Risk Sharing, Inequality and Fertility," NBER Working Papers 15111, National Bureau of Economic Research, Inc.
    7. Ales, Laurence & Maziero, Pricila, 2016. "Non-exclusive dynamic contracts, competition, and the limits of insurance," Journal of Economic Theory, Elsevier, vol. 166(C), pages 362-395.
    8. Patrick Bolton & Neng Wang & Jinqiang Yang, 2019. "Optimal Contracting, Corporate Finance, and Valuation with Inalienable Human Capital," Journal of Finance, American Finance Association, vol. 74(3), pages 1363-1429, June.
    9. J. C. Parra & M. Huggett, 2005. "Quantifying the Inefficiency of the US Social Security System," Computing in Economics and Finance 2005 70, Society for Computational Economics.
    10. Zhang, Yuzhe, 2009. "Dynamic contracting with persistent shocks," Journal of Economic Theory, Elsevier, vol. 144(2), pages 635-675, March.
    11. Patrick Bolton & Neng Wang & Jinqiang Yang, 2016. "Liquidity and Risk Management: Coordinating Investment and Compensation Policies," 2016 Meeting Papers 1703, Society for Economic Dynamics.
    12. Hengjie Ai & Rui Li, 2012. "Moral hazard, investment, and firm dynamics," FRB Atlanta CQER Working Paper 2012-01, Federal Reserve Bank of Atlanta.
    13. Tak-Yuen Wong, 2019. "Dynamic Agency and Endogenous Risk-Taking," Management Science, INFORMS, vol. 65(9), pages 4032-4048, September.
    14. Dylan Possamai & Nizar Touzi, 2020. "Is there a Golden Parachute in Sannikov's principal-agent problem?," Papers 2007.05529, arXiv.org, revised Oct 2022.
    15. Brett Green & Curtis R. Taylor, 2016. "Breakthroughs, Deadlines, and Self-Reported Progress: Contracting for Multistage Projects," American Economic Review, American Economic Association, vol. 106(12), pages 3660-3699, December.
    16. Abdoulaye Ndiaye, 2017. "Flexible Retirement and Optimal Taxation," Working Paper Series WP-2018-18, Federal Reserve Bank of Chicago.
    17. Mikhail Golosov & Luigi Iovino, 2021. "Social Insurance, Information Revelation, and Lack of Commitment," Journal of Political Economy, University of Chicago Press, vol. 129(9), pages 2629-2665.
    18. Laurence Ales & Maziero Pricila, "undated". "Accounting for Private Information," GSIA Working Papers 2010-E58, Carnegie Mellon University, Tepper School of Business.
    19. Vitor F. Luz & Carlos E. da Costa, 2010. "The Private Memory of Aggregate Shocks," 2010 Meeting Papers 368, Society for Economic Dynamics.
    20. LiCalzi, Marco & Pavan, Alessandro, 2005. "Tilting the supply schedule to enhance competition in uniform-price auctions," European Economic Review, Elsevier, vol. 49(1), pages 227-250, January.

    More about this item

    Keywords

    Dynamic Contract; Continuous Time; Moral Hazard; Adverse Selection; Project Search;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • J30 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - General

    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:grz:wpaper:2018-11. 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: Michael Scholz (email available below). General contact details of provider: https://edirc.repec.org/data/vgrazat.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.