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Optimal Task Scheduling under Adverse Selection and Hidden Actions

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  • Murali Agastya
  • Oleksii Birulin

Abstract

A Principal owns a project consisting of several tasks. Tasks differ, both in their innate success probabilities and their incremental benefits. Moreover, only specialists can perform these tasks. Subject to moral hazard and adverse selection, in what order should the Principal commission the tasks, and when should she terminate the project? What investments into changing tasks' characteristics yield the highest marginal profit? These are typical issues that arise in sequencing R&D activities and other sequential production processes. We show that, despite informational constraints, a simple index—a task's effective marginal contribution—determines the optimal schedule/mechanism.

Suggested Citation

  • Murali Agastya & Oleksii Birulin, 2023. "Optimal Task Scheduling under Adverse Selection and Hidden Actions," American Economic Journal: Microeconomics, American Economic Association, vol. 15(2), pages 660-698, May.
  • Handle: RePEc:aea:aejmic:v:15:y:2023:i:2:p:660-98
    DOI: 10.1257/mic.20210126
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    as
    1. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    2. Cooper, Robert G., 1990. "Stage-gate systems: A new tool for managing new products," Business Horizons, Elsevier, vol. 33(3), pages 44-54.
    3. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    4. Sobel, Joel, 1992. "How to Count to One Thousand," Economic Journal, Royal Economic Society, vol. 102(410), pages 1-8, January.
    5. Susan Athey & Glenn Ellison, 2011. "Position Auctions with Consumer Search," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(3), pages 1213-1270.
    6. Herroelen, Willy S. & Van Dommelen, Patrick & Demeulemeester, Erik L., 1997. "Project network models with discounted cash flows a guided tour through recent developments," European Journal of Operational Research, Elsevier, vol. 100(1), pages 97-121, July.
    7. Ollier, Sandrine & Thomas, Lionel, 2013. "Ex post participation constraint in a principal–agent model with adverse selection and moral hazard," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2383-2403.
    8. Michael Choi & Anovia Yifan Dai & Kyungmin Kim, 2018. "Consumer Search and Price Competition," Econometrica, Econometric Society, vol. 86(4), pages 1257-1281, July.
    9. Weitzman, Martin L, 1979. "Optimal Search for the Best Alternative," Econometrica, Econometric Society, vol. 47(3), pages 641-654, May.
    10. Clyde L. Monma & Jeffrey B. Sidney, 1979. "Sequencing with Series-Parallel Precedence Constraints," Mathematics of Operations Research, INFORMS, vol. 4(3), pages 215-224, August.
    11. Gonzalo Cisternas & Nicolás Figueroa, 2015. "Sequential procurement auctions and their effect on investment decisions," RAND Journal of Economics, RAND Corporation, vol. 46(4), pages 824-843, October.
    12. Mark Armstrong, 2017. "Ordered Consumer Search," Journal of the European Economic Association, European Economic Association, vol. 15(5), pages 989-1024.
    13. Felipe Balmaceda, 2020. "Contracting with moral hazard, adverse selection and risk neutrality: when does one size fit all?," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(2), pages 601-637, June.
    14. Eyal Winter, 2006. "Optimal incentives for sequential production processes," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 376-390, June.
    15. Herroelen, Willy & Leus, Roel, 2005. "Project scheduling under uncertainty: Survey and research potentials," European Journal of Operational Research, Elsevier, vol. 165(2), pages 289-306, September.
    16. Laffont, Jean-Jacques & Tirole, Jean, 1987. "Auctioning Incentive Contracts," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 921-937, October.
    17. Tymofiy Mylovanov & Patrick Schmitz, 2008. "Task scheduling and moral hazard," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 307-320, November.
    18. Indranil Chakraborty & Fahad Khalil & Jacques Lawarree, 2021. "Competitive procurement with ex post moral hazard," RAND Journal of Economics, RAND Corporation, vol. 52(1), pages 179-206, March.
    19. Patrick W. Schmitz, 2005. "Allocating Control in Agency Problems with Limited Liability and Sequential Hidden Actions," RAND Journal of Economics, The RAND Corporation, vol. 36(2), pages 318-336, Summer.
    20. Wayne E. Smith, 1956. "Various optimizers for single‐stage production," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 3(1‐2), pages 59-66, March.
    21. Se-Jik Kim & Hyun Song Shin, 2012. "Sustaining Production Chains through Financial Linkages," American Economic Review, American Economic Association, vol. 102(3), pages 402-406, May.
    22. Olszewski, Wojciech & Weber, Richard, 2015. "A more general Pandora rule?," Journal of Economic Theory, Elsevier, vol. 160(C), pages 429-437.
    23. Richard J. Gilbert & Michael H. Riordan, 1995. "Regulating Complementary Products: A Comparative Institutional Analysis," RAND Journal of Economics, The RAND Corporation, vol. 26(2), pages 243-256, Summer.
    24. Escobar, Juan F. & Pulgar, Carlos, 2017. "Motivating with simple contracts," International Journal of Industrial Organization, Elsevier, vol. 54(C), pages 192-214.
    25. R. Preston McAfee & John McMillan, 1986. "Bidding for Contracts: A Principal-Agent Analysis," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 326-338, Autumn.
    26. François Maréchal & Lionel Thomas, 2018. "The Optimal Contract under Adverse Selection in a Moral-Hazard Model with a Risk-Averse Agent," Games, MDPI, vol. 9(1), pages 1-22, March.
    27. Murali Agastya & Kanti Parimal Bag & Nona Pepito, 2016. "Task ordering in incentives under externalities," Working Papers hal-01282673, HAL.
    28. Tan, Teck Yong, 2021. "Assignment under task dependent private information," Journal of Economic Behavior & Organization, Elsevier, vol. 186(C), pages 632-645.
    29. Michael Kremer, 1993. "The O-Ring Theory of Economic Development," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 551-575.
    30. Benjamin Edelman & Michael Ostrovsky & Michael Schwarz, 2007. "Internet Advertising and the Generalized Second-Price Auction: Selling Billions of Dollars Worth of Keywords," American Economic Review, American Economic Association, vol. 97(1), pages 242-259, March.
    31. Pascale Crama & Bert De Reyck & Zeger Degraeve & Wang Chong, 2007. "Research and Development Project Valuation and Licensing Negotiations at Phytopharm plc," Interfaces, INFORMS, vol. 37(5), pages 472-487, October.
    32. Da Rocha, J. M. & Angeles de Frutos, M., 1999. "A Note on the Optimal Structure of Production," Journal of Economic Theory, Elsevier, vol. 89(2), pages 234-246, December.
    33. Sergei Severinov, 2008. "The value of information and optimal organization," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 238-265, March.
    34. Jeroen Suijs, 1996. "On incentive compatibility and budget balancedness in public decision making," Review of Economic Design, Springer;Society for Economic Design, vol. 2(1), pages 193-209, December.
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    More about this item

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • L23 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Organization of Production
    • L24 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Contracting Out; Joint Ventures
    • L65 - Industrial Organization - - Industry Studies: Manufacturing - - - Chemicals; Rubber; Drugs; Biotechnology; Plastics
    • M11 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Production Management
    • O31 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Innovation and Invention: Processes and Incentives

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