IDEAS home Printed from https://ideas.repec.org/p/dpr/wpaper/0949.html
   My bibliography  Save this paper

Hierarchical Experimentation

Author

Listed:
  • Chia-Hui Chen
  • Junichiro Ishida

Abstract

We consider a bandit problem faced by a team of two heterogeneous players. The team is hierarchical in that one (the principal) retains the exclusive right to terminate the project while the other (the agent) focuses strictly on implementing the project assigned to him. As a key departure, we assume that the principal may be privately informed about the project quality. In contrast to the existing literature, the belief in our model is generally non-monotonic: while each failure makes the agent less confident in the project, the uninformed principal drops out gradually over time, which partially restores his confidence. We derive explicit solutions for the agent's effort and the principal's exit decisions, which allow us to obtain a full characterization of the equilibrium. We also discuss the role of effort monitoring in this context and suggest a new rationale for delegation.

Suggested Citation

  • Chia-Hui Chen & Junichiro Ishida, 2015. "Hierarchical Experimentation," ISER Discussion Paper 0949, Institute of Social and Economic Research, Osaka University.
    • Handle: RePEc:dpr:wpaper:0949
    as

    Download full text from publisher

    File URL: https://www.iser.osaka-u.ac.jp/library/dp/2015/DP0949.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Gustavo Manso, 2011. "Motivating Innovation," Journal of Finance, American Finance Association, vol. 66(5), pages 1823-1860, October.
    2. Francine Lafontaine & Kathryn Shaw, 2016. "Serial Entrepreneurship: Learning by Doing?," Journal of Labor Economics, University of Chicago Press, vol. 34(S2), pages 217-254.
    3. Rocha, Vera & Carneiro, Anabela & Amorim Varum, Celeste, 2015. "Serial entrepreneurship, learning by doing and self-selection," International Journal of Industrial Organization, Elsevier, vol. 40(C), pages 91-106.
    4. Daron Acemoglu & Philippe Aghion & Claire Lelarge & John Van Reenen & Fabrizio Zilibotti, 2007. "Technology, Information, and the Decentralization of the Firm," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(4), pages 1759-1799.
    5. Emeric Henry & Marco Ottaviani, 2019. "Research and the Approval Process: The Organization of Persuasion," American Economic Review, American Economic Association, vol. 109(3), pages 911-955, March.
    6. Rothschild, Michael, 1974. "A two-armed bandit theory of market pricing," Journal of Economic Theory, Elsevier, vol. 9(2), pages 185-202, October.
    7. 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.
    8. Alessandro Bonatti & Johannes Horner, 2011. "Collaborating," American Economic Review, American Economic Association, vol. 101(2), pages 632-663, April.
    9. , & ,, 2012. "A principal-agent model of sequential testing," Theoretical Economics, Econometric Society, vol. 7(3), September.
    10. repec:ner:ucllon:http://discovery.ucl.ac.uk/17678/ is not listed on IDEAS
    11. Andrew Atkeson & Christian Hellwig & Guillermo Ordoñez, 2015. "Optimal Regulation in the Presence of Reputation Concerns," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 130(1), pages 415-464.
    12. Dirk Bergemann & Juuso Välimäki, 2000. "Experimentation in Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(2), pages 213-234.
    13. Eric Van den Steen, 2005. "Organizational Beliefs and Managerial Vision," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 21(1), pages 256-283, April.
    14. Brendan Daley & Brett Green, 2012. "Waiting for News in the Market for Lemons," Econometrica, Econometric Society, vol. 80(4), pages 1433-1504, July.
    15. Faruk Gul & Wolfgang Pesendorfer, 2012. "The War of Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(2), pages 707-734.
      • Gul, Faruk & Pesendorfer, Wolfgang, 2010. "The War of Information," Papers 9-13-2010, Princeton University, Research Program in Political Economy.
    16. Johannes Hörner & Larry Samuelson, 2013. "Incentives for experimenting agents," RAND Journal of Economics, RAND Corporation, vol. 44(4), pages 632-663, December.
    17. Steven N. Kaplan & Per Strömberg, 2003. "Financial Contracting Theory Meets the Real World: An Empirical Analysis of Venture Capital Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(2), pages 281-315.
    18. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
    19. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    20. Junichiro Ishida, 2006. "Optimal Promotion Policies with the Looking-Glass Effect," Journal of Labor Economics, University of Chicago Press, vol. 24(4), pages 857-878, October.
    21. Godfrey Keller & Sven Rady & Martin Cripps, 2005. "Strategic Experimentation with Exponential Bandits," Econometrica, Econometric Society, vol. 73(1), pages 39-68, January.
    22. Wouter Dessein, 2002. "Authority and Communication in Organizations," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(4), pages 811-838.
    23. Jay P. Choi, 1991. "Dynamic R&D Competition under "Hazard Rate" Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 22(4), pages 596-610, Winter.
    24. repec:cwl:cwldpp:1726rrr is not listed on IDEAS
    25. Heski Bar-Isaac, 2003. "Reputation and Survival: Learning in a Dynamic Signalling Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(2), pages 231-251.
    26. repec:cwl:cwldpp:1726rr is not listed on IDEAS
    27. Julio Rotemberg & Garth Saloner, 2000. "Visionaries, Managers, and Strategic Direction," RAND Journal of Economics, The RAND Corporation, vol. 31(4), pages 693-716, Winter.
    28. Aghion, Philippe & Tirole, Jean, 1997. "Formal and Real Authority in Organizations," Journal of Political Economy, University of Chicago Press, vol. 105(1), pages 1-29, February.
    29. Roland Bénabou & Jean Tirole, 2003. "Intrinsic and Extrinsic Motivation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(3), pages 489-520.
    30. Dilip Mookherjee, 2006. "Decentralization, Hierarchies, and Incentives: A Mechanism Design Perspective," Journal of Economic Literature, American Economic Association, vol. 44(2), pages 367-390, June.
    31. Bruno Strulovici, 2010. "Learning While Voting: Determinants of Collective Experimentation," Econometrica, Econometric Society, vol. 78(3), pages 933-971, May.
    32. Nicolas Klein & Sven Rady, 2011. "Negatively Correlated Bandits," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(2), pages 693-732.
    33. Yingni Guo, 2016. "Dynamic Delegation of Experimentation," American Economic Review, American Economic Association, vol. 106(8), pages 1969-2008, August.
    34. Chia-Hui Chen & Junichiro Ishida, 2015. "A Tenure-Clock Problem," ISER Discussion Paper 0919, Institute of Social and Economic Research, Osaka University.
    35. Alexander Wolitzky, 2012. "Reputational Bargaining With Minimal Knowledge of Rationality," Econometrica, Econometric Society, vol. 80(5), pages 2047-2087, September.
    36. Decamps, Jean-Paul & Mariotti, Thomas, 2004. "Investment timing and learning externalities," Journal of Economic Theory, Elsevier, vol. 118(1), pages 80-102, September.
    37. Declan Butler, 2008. "Translational research: Crossing the valley of death," Nature, Nature, vol. 453(7197), pages 840-842, June.
    38. David A. Malueg & Shunichi O. Tsutsui, 1997. "Dynamic R&D Competition with Learning," RAND Journal of Economics, The RAND Corporation, vol. 28(4), pages 751-772, Winter.
    39. 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.
    40. Kambe, Shinsuke, 1999. "Bargaining with Imperfect Commitment," Games and Economic Behavior, Elsevier, vol. 28(2), pages 217-237, August.
    41. Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
    42. Gompers, Paul & Kovner, Anna & Lerner, Josh & Scharfstein, David, 2010. "Performance persistence in entrepreneurship," Journal of Financial Economics, Elsevier, vol. 96(1), pages 18-32, April.
    43. Parker, Simon C., 2013. "Do serial entrepreneurs run successively better-performing businesses?," Journal of Business Venturing, Elsevier, vol. 28(5), pages 652-666.
    44. Junfu Zhang, 2011. "The advantage of experienced start-up founders in venture capital acquisition: evidence from serial entrepreneurs," Small Business Economics, Springer, vol. 36(2), pages 187-208, February.
    45. Dedehayir, Ozgur & Steinert, Martin, 2016. "The hype cycle model: A review and future directions," Technological Forecasting and Social Change, Elsevier, vol. 108(C), pages 28-41.
    46. Jing Chen, 2013. "Selection and Serial Entrepreneurs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 22(2), pages 281-311, June.
    47. Bauke Visser, 2007. "Motivating Through Delegating Tasks or Giving Attention," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 23(3), pages 731-742, October.
    48. Pauli Murto & Juuso Välimäki, 2011. "Learning and Information Aggregation in an Exit Game," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(4), pages 1426-1461.
    49. 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.
    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. Chen, Chia-Hui & Ishida, Junichiro & Mukherjee, Arijit, 2023. "Pioneer, early follower or late entrant: Entry dynamics with learning and market competition," European Economic Review, Elsevier, vol. 152(C).
    2. Chia‐Hui Chen & Junichiro Ishida, 2021. "A War of Attrition with Experimenting Players," Journal of Industrial Economics, Wiley Blackwell, vol. 69(2), pages 239-269, June.
    3. 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.
    4. Chia-Hui Chen & Junichiro Ishida, 2017. "Rewarding Mediocrity? Optimal Regulation of R&D Markets with Reputation Concerns," ISER Discussion Paper 0994, Institute of Social and Economic Research, Osaka University.

    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. Heidhues, Paul & Rady, Sven & Strack, Philipp, 2015. "Strategic experimentation with private payoffs," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 531-551.
    2. Chia-Hui Chen & Junichiro Ishida, 2017. "Rewarding Mediocrity? Optimal Regulation of R&D Markets with Reputation Concerns," ISER Discussion Paper 0994, Institute of Social and Economic Research, Osaka University.
    3. 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.
    4. Nicolas Klein & Tymofiy Mylovanov, 2011. "Should the Flatterers be Avoided?," 2011 Meeting Papers 1273, Society for Economic Dynamics.
    5. Khalil, Fahad & Lawarree, Jacques & Rodivilov, Alexander, 2020. "Learning from failures: Optimal contracts for experimentation and production," Journal of Economic Theory, Elsevier, vol. 190(C).
    6. Klein, Nicolas, 2013. "Strategic learning in teams," Games and Economic Behavior, Elsevier, vol. 82(C), pages 636-657.
    7. Mira Frick & Yuhta Ishii, 2015. "Innovation Adoption by Forward-Looking Social Learners," Cowles Foundation Discussion Papers 1877, Cowles Foundation for Research in Economics, Yale University.
    8. Chia-Hui Chen & Junichiro Ishida & Wing Suen, 2021. "Reputation Concerns in Risky Experimentation [Reputation and Survival: Learning in a Dynamic Signalling Model]," Journal of the European Economic Association, European Economic Association, vol. 19(4), pages 1981-2021.
    9. Sadler, Evan, 2021. "Dead ends," Journal of Economic Theory, Elsevier, vol. 191(C).
    10. 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.
    11. Johannes Hörner & Larry Samuelson, 2013. "Incentives for experimenting agents," RAND Journal of Economics, RAND Corporation, vol. 44(4), pages 632-663, December.
    12. , & ,, 2010. "Strategic experimentation with Poisson bandits," Theoretical Economics, Econometric Society, vol. 5(2), May.
    13. Besanko, David & Tong, Jian & Wu, Jianjun, 2016. "Subsidizing research programs with "if" and "when" uncertainty in the face of severe informational constraints," Discussion Paper Series In Economics And Econometrics 1605, Economics Division, School of Social Sciences, University of Southampton.
    14. Rosenberg, Dinah & Salomon, Antoine & Vieille, Nicolas, 2013. "On games of strategic experimentation," Games and Economic Behavior, Elsevier, vol. 82(C), pages 31-51.
    15. Forand, Jean Guillaume, 2015. "Keeping your options open," Journal of Economic Dynamics and Control, Elsevier, vol. 53(C), pages 47-68.
    16. Tinghua Yu, 2021. "Accountability and learning with motivated agents," BCAM Working Papers 2107, Birkbeck Centre for Applied Macroeconomics.
    17. Tinghua Yu, 2022. "Accountability and learning with motivated agents," Journal of Theoretical Politics, , vol. 34(2), pages 313-329, April.
    18. Catherine Bobtcheff & Raphaël Levy, 2017. "More Haste, Less Speed? Signaling through Investment Timing," American Economic Journal: Microeconomics, American Economic Association, vol. 9(3), pages 148-186, August.
    19. 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.
    20. Chen, Chia-Hui & Ishida, Junichiro & Mukherjee, Arijit, 2023. "Pioneer, early follower or late entrant: Entry dynamics with learning and market competition," European Economic Review, Elsevier, vol. 152(C).

    More about this item

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    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:dpr:wpaper:0949. 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: Librarian (email available below). General contact details of provider: https://edirc.repec.org/data/isosujp.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.