IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v132y2022icp534-552.html
   My bibliography  Save this article

Dynamic contracting for innovation under ambiguity

Author

Listed:
  • Bhattacharjee, Swagata

Abstract

Outsourcing of research is commonly observed in knowledge-intensive industries such as biotech. We model innovation as an ambiguous stochastic process with dynamically consistent updating. We assume that the research labs are less ambiguity averse than the commercial firms. We characterize the optimal sequence of short-term contracts governing innovation, and show how it facilitates ambiguity-sharing. This ambiguity sharing agreement mitigates the dynamic moral hazard problem, resulting in monotonically decreasing investment and preventing equilibrium delay. Compared to an ambiguity-neutral policymaker's benchmark, the research alliances stop experimenting too early, and may liquidate the project even after being patented. The problems are structural, redesigned patent laws cannot solve both of these problems.

Suggested Citation

  • Bhattacharjee, Swagata, 2022. "Dynamic contracting for innovation under ambiguity," Games and Economic Behavior, Elsevier, vol. 132(C), pages 534-552.
  • Handle: RePEc:eee:gamebe:v:132:y:2022:i:c:p:534-552
    DOI: 10.1016/j.geb.2022.01.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825622000215
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2022.01.015?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. Bergemann, Dirk & Pavan, Alessandro, 2015. "Introduction to Symposium on Dynamic Contracts and Mechanism Design," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 679-701.
    2. Johanna Etner & Meglena Jeleva & Jean‐Marc Tallon, 2012. "Decision Theory Under Ambiguity," Journal of Economic Surveys, Wiley Blackwell, vol. 26(2), pages 234-270, April.
    3. Gustavo Manso, 2011. "Motivating Innovation," Journal of Finance, American Finance Association, vol. 66(5), pages 1823-1860, October.
    4. Florian Ederer & Gustavo Manso, 2013. "Is Pay for Performance Detrimental to Innovation?," Management Science, INFORMS, vol. 59(7), pages 1496-1513, July.
    5. Johannes Hörner & Larry Samuelson, 2013. "Incentives for experimenting agents," RAND Journal of Economics, RAND Corporation, vol. 44(4), pages 632-663, December.
    6. Dirk Bergemann & Alessandro Pavan, 2015. "Introduction to JET Symposium Issue on "Dynamic Contracts and Mechanism Design"," Cowles Foundation Discussion Papers 2016, Cowles Foundation for Research in Economics, Yale University.
    7. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
    8. Leonard J. Mirman & Thomas D. Jeitschko & Egas Salgueiro, 2002. "The simple analytics of information and experimentation in dynamic agency," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(3), pages 549-570.
    9. Arthur Campbell & Florian Ederer & Johannes Spinnewijn, 2014. "Delay and Deadlines: Freeriding and Information Revelation in Partnerships," American Economic Journal: Microeconomics, American Economic Association, vol. 6(2), pages 163-204, May.
    10. 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.
    11. Godfrey Keller & Sven Rady & Martin Cripps, 2005. "Strategic Experimentation with Exponential Bandits," Econometrica, Econometric Society, vol. 73(1), pages 39-68, January.
    12. Baker, George P. & Gibbons, Robert & Murphy, Kevin J., 2008. "Strategic alliances: Bridges between "islands of conscious power"," Journal of the Japanese and International Economies, Elsevier, vol. 22(2), pages 146-163, June.
    13. Dirk Bergemann & Ulrigh Hege, 2005. "The Financing of Innovation: Learning and Stopping," RAND Journal of Economics, The RAND Corporation, vol. 36(4), pages 719-752, Winter.
    14. Bergemann, Dirk & Hege, Ulrich, 1998. "Venture capital financing, moral hazard, and learning," Journal of Banking & Finance, Elsevier, vol. 22(6-8), pages 703-735, August.
    15. Massimiliano Amarante & Mario Ghossoub & Edmund Phelps, 2012. "Contracting for Innovation under Knightian Uncertainty," Cahiers de recherche 18-2012, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    16. Marie-Louise Vierø, 2012. "Contracting in Vague Environments," American Economic Journal: Microeconomics, American Economic Association, vol. 4(2), pages 104-130, May.
    17. Martin Szydlowski, 2012. "Ambiguity in Dynamic Contracts," Discussion Papers 1543, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    18. Larry G. Epstein & Martin Schneider, 2007. "Learning Under Ambiguity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(4), pages 1275-1303.
    19. Maccheroni, Fabio & Marinacci, Massimo & Rustichini, Aldo, 2006. "Dynamic variational preferences," Journal of Economic Theory, Elsevier, vol. 128(1), pages 4-44, May.
    20. Tobias Adrian & Mark M. Westerfield, 2009. "Disagreement and Learning in a Dynamic Contracting Model," The Review of Financial Studies, Society for Financial Studies, vol. 22(10), pages 3873-3906, October.
    21. Epstein, Larry G. & Schneider, Martin, 2003. "Recursive multiple-priors," Journal of Economic Theory, Elsevier, vol. 113(1), pages 1-31, November.
    22. Zhiguo He & Bin Wei & Jianfeng Yu & Feng Gao, 2017. "Optimal Long-Term Contracting with Learning," Review of Financial Studies, Society for Financial Studies, vol. 30(6), pages 2006-2065.
    23. Johanna Etner & Meglena Jeleva & Jean‐Marc Tallon, 2012. "Decision Theory Under Ambiguity," Journal of Economic Surveys, Wiley Blackwell, vol. 26(2), pages 234-270, April.
    24. Josh Lerner & Ulrike Malmendier, 2010. "Contractibility and the Design of Research Agreements," American Economic Review, American Economic Association, vol. 100(1), pages 214-246, March.
    25. Peter M. Demarzo & Yuliy Sannikov, 2017. "Learning, Termination, and Payout Policy in Dynamic Incentive Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(1), pages 182-236.
    26. ,, 2011. "Dynamic choice under ambiguity," Theoretical Economics, Econometric Society, vol. 6(3), September.
    27. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    28. Sujoy Mukerji & Jean-Marc Tallon & EUREQua & CNRS - Universite Paris I., 2003. "An overview of economic applications of David Schmeidler`s models of decision making under uncertainty," Economics Series Working Papers 165, University of Oxford, Department of Economics.
    29. Mark J. Machina, 2014. "Ambiguity Aversion with Three or More Outcomes," American Economic Review, American Economic Association, vol. 104(12), pages 3814-3840, December.
    30. 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.
    31. Garrett, Daniel F., 2014. "Robustness of simple menus of contracts in cost-based procurement," Games and Economic Behavior, Elsevier, vol. 87(C), pages 631-641.
    32. Dumav, Martin & Stinchcombe, Maxwell B., 2014. "The von Neumann/Morgenstern approach to ambiguity," Center for Mathematical Economics Working Papers 480, Center for Mathematical Economics, Bielefeld University.
    33. Garlappi, Lorenzo & Giammarino, Ron & Lazrak, Ali, 2017. "Ambiguity and the corporation: Group disagreement and underinvestment," Journal of Financial Economics, Elsevier, vol. 125(3), pages 417-433.
    34. repec:cwl:cwldpp:1726rrr is not listed on IDEAS
    35. 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.
    36. Hagedoorn, John & Schakenraad, Jos, 1992. "Leading companies and networks of strategic alliances in information technologies," Research Policy, Elsevier, vol. 21(2), pages 163-190, April.
    37. repec:cwl:cwldpp:1726rr is not listed on IDEAS
    38. Gabriel Carroll, 2015. "Robustness and Linear Contracts," American Economic Review, American Economic Association, vol. 105(2), pages 536-563, February.
    39. Lopomo, Giuseppe & Rigotti, Luca & Shannon, Chris, 2011. "Knightian uncertainty and moral hazard," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1148-1172, May.
    40. repec:oup:restud:v:84:y::i:1:p:182-236. is not listed on IDEAS
    41. Poblete, Joaquín & Spulber, Daniel, 2017. "Managing innovation: Optimal incentive contracts for delegated R&D with double moral hazard," European Economic Review, Elsevier, vol. 95(C), pages 38-61.
    42. Mukerji, Sujoy, 1998. "Ambiguity Aversion and Incompleteness of Contractual Form," American Economic Review, American Economic Association, vol. 88(5), pages 1207-1231, December.
    43. Bhaskar, Venkataraman, 2012. "Dynamic Moral Hazard, Learning and Belief Manipulation," CEPR Discussion Papers 8948, C.E.P.R. Discussion Papers.
    44. Marina Halac & Navin Kartik & Qingmin Liu, 2016. "Optimal Contracts for Experimentation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(3), pages 1040-1091.
    45. Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-780, July.
    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. Swagata Bhattacharjee, 2019. "Dynamic Contracting for Innovation Under Ambiguity," Working Papers 1022, Ashoka University, Department of Economics, revised Aug 2019.
    2. Konstantinos Georgalos, 2019. "An experimental test of the predictive power of dynamic ambiguity models," Journal of Risk and Uncertainty, Springer, vol. 59(1), pages 51-83, August.
    3. Hansen, Peter G., 2022. "New formulations of ambiguous volatility with an application to optimal dynamic contracting," Journal of Economic Theory, Elsevier, vol. 199(C).
    4. Khalil, Fahad & Lawarree, Jacques & Rodivilov, Alexander, 2020. "Learning from failures: Optimal contracts for experimentation and production," Journal of Economic Theory, Elsevier, vol. 190(C).
    5. Rodivilov, Alexander, 2022. "Monitoring innovation," Games and Economic Behavior, Elsevier, vol. 135(C), pages 297-326.
    6. Evren, Özgür, 2019. "Recursive non-expected utility: Connecting ambiguity attitudes to risk preferences and the level of ambiguity," Games and Economic Behavior, Elsevier, vol. 114(C), pages 285-307.
    7. Mayer, Simon, 2022. "Financing breakthroughs under failure risk," Journal of Financial Economics, Elsevier, vol. 144(3), pages 807-848.
    8. Jianjun Miao & Alejandro Rivera, 2016. "Robust Contracts in Continuous Time," Econometrica, Econometric Society, vol. 84, pages 1405-1440, July.
    9. Alessandro Spiganti, 2020. "Can Starving Start‐ups Beat Fat Labs? A Bandit Model of Innovation with Endogenous Financing Constraint," Scandinavian Journal of Economics, Wiley Blackwell, vol. 122(2), pages 702-731, April.
    10. Massimo Guidolin & Francesca Rinaldi, 2013. "Ambiguity in asset pricing and portfolio choice: a review of the literature," Theory and Decision, Springer, vol. 74(2), pages 183-217, February.
    11. Sadler, Evan, 2021. "Dead ends," Journal of Economic Theory, Elsevier, vol. 191(C).
    12. Martin Dumav, 2021. "Moral Hazard, Dynamic Incentives, and Ambiguous Perceptions," Papers 2110.15229, arXiv.org.
    13. Chia‐Hui Chen & Junichiro Ishida, 2018. "Dynamic performance evaluation with deadlines: The role of commitment," Journal of Industrial Economics, Wiley Blackwell, vol. 66(2), pages 377-422, June.
    14. Peter G. Hansen, 2021. "New Formulations of Ambiguous Volatility with an Application to Optimal Dynamic Contracting," Papers 2101.12306, arXiv.org.
    15. Gomes, Renato & Gottlieb, Daniel & Maestri, Lucas, 2016. "Experimentation and project selection: Screening and learning," Games and Economic Behavior, Elsevier, vol. 96(C), pages 145-169.
    16. Kathleen Ngangoué, M., 2021. "Learning under ambiguity: An experiment in gradual information processing," Journal of Economic Theory, Elsevier, vol. 195(C).
    17. Beauchêne, Dorian & Li, Jian & Li, Ming, 2019. "Ambiguous persuasion," Journal of Economic Theory, Elsevier, vol. 179(C), pages 312-365.
    18. Tommi Ekholm & Erin Baker, 2022. "Multiple Beliefs, Dominance and Dynamic Consistency," Management Science, INFORMS, vol. 68(1), pages 529-540, January.
    19. Georgalos, Konstantinos, 2021. "Dynamic decision making under ambiguity: An experimental investigation," Games and Economic Behavior, Elsevier, vol. 127(C), pages 28-46.
    20. Chia-Hui Chen & Junichiro Ishida, 2015. "A Tenure-Clock Problem," ISER Discussion Paper 0919, Institute of Social and Economic Research, Osaka University.

    More about this item

    Keywords

    Ambiguity; Dynamic contract; Patent law; Innovation; R&D;
    All these keywords.

    JEL classification:

    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • L24 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Contracting Out; Joint Ventures
    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D

    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:gamebe:v:132:y:2022:i:c:p:534-552. 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/622836 .

    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.