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Motivational Ratings

Author

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  • Johannes Hörner

    (TSE-R - Toulouse School of Economics - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CNRS - Centre National de la Recherche Scientifique)

  • Nicolas Lambert

Abstract

Performance evaluation (\rating") systems not only provide information to users but also motivate the rated worker. This paper solves for the optimal(effort-maximizing) rating within the standard career concerns framework. We prove that this rating is a linear function of past observations. The rating, however, is not a Markov process, but rather the sum of two Markov processes. We show how it combines information of different types and vintages. An increase in effort may adversely affect some (but not all) future ratings.

Suggested Citation

  • Johannes Hörner & Nicolas Lambert, 2021. "Motivational Ratings," Working Papers hal-03187510, HAL.
    • Handle: RePEc:hal:wpaper:hal-03187510
    Note: View the original document on HAL open archive server: https://hal.science/hal-03187510
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    References listed on IDEAS

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    1. Cole, Harold L & Dow, James & English, William B, 1995. "Default, Settlement, and Signalling: Lending Resumption in a Reputational Model of Sovereign Debt," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(2), pages 365-385, May.
    2. Liu, Qingmin & Skrzypacz, Andrzej, 2014. "Limited records and reputation bubbles," Journal of Economic Theory, Elsevier, vol. 151(C), pages 2-29.
    3. Frydman, Halina & Schuermann, Til, 2008. "Credit rating dynamics and Markov mixture models," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 1062-1075, June.
    4. ., 2004. "Market dynamics associated with credit ratings: a literature review," Financial Stability Review, Banque de France, issue 4, pages 77-93, June.
    5. Nickell, Pamela & Perraudin, William & Varotto, Simone, 2000. "Stability of rating transitions," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 203-227, January.
    6. Felton, Andrew & Reinhart, Carmen M. (ed.), 2009. "The First Global Financial Crisis of the 21st Century Part II: June–December, 2008," Vox eBooks, Centre for Economic Policy Research, number p199.
    7. Heski Bar-Isaac & Guillermo Caruana & Vicente Cunat, 2012. "Search, Design, and Market Structure," American Economic Review, American Economic Association, vol. 102(2), pages 1140-1160, April.
    8. Manso, Gustavo, 2013. "Feedback effects of credit ratings," Journal of Financial Economics, Elsevier, vol. 109(2), pages 535-548.
    9. Gonzalez, F. & Haas, F. & Johannes, R. & Persson, M. & Toledo, L. & Violi, R. & Zins, C. & Wieland, M., 2004. "Market dynamics associated with credit ratings: a literature review," Financial Stability Review, Banque de France, issue 4, pages 53-76, June.
    10. Yuk-Fai Fong & Jin Li, 2017. "Information Revelation in Relational Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(1), pages 277-299.
    11. Gonzalez, F. & Haas, F. & Johannes, R. & Persson, M. & Toledo, L. & Violi, R. & Zins, C. & Wieland, M., 2004. "Market dynamics associated with credit ratings: a literature review," Financial Stability Review, Banque de France, issue 4, pages 53-76, June.
    12. Stephen E. Hansen, 2013. "Performance Feedback with Career Concerns," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 29(6), pages 1279-1316, December.
    13. George Baker & Robert Gibbons & Kevin J. Murphy, 1994. "Subjective Performance Measures in Optimal Incentive Contracts," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(4), pages 1125-1156.
    14. Altman, Edward I., 1998. "The importance and subtlety of credit rating migration," Journal of Banking & Finance, Elsevier, vol. 22(10-11), pages 1231-1247, October.
    15. Ekmekci, Mehmet, 2011. "Sustainable reputations with rating systems," Journal of Economic Theory, Elsevier, vol. 146(2), pages 479-503, March.
    16. Renault, Jérôme & Solan, Eilon & Vieille, Nicolas, 2017. "Optimal dynamic information provision," Games and Economic Behavior, Elsevier, vol. 104(C), pages 329-349.
    17. Bangia, Anil & Diebold, Francis X. & Kronimus, Andre & Schagen, Christian & Schuermann, Til, 2002. "Ratings migration and the business cycle, with application to credit portfolio stress testing," Journal of Banking & Finance, Elsevier, vol. 26(2-3), pages 445-474, March.
    18. Chong Ju Choi & Carla C. J. M. Millar & Caroline Y. L. Wong, 2005. "Knowledge and the State," Palgrave Macmillan Books, in: Knowledge Entanglements, chapter 0, pages 19-38, Palgrave Macmillan.
    19. 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.
    20. repec:oup:restud:v:84:y::i:1:p:277-299. is not listed on IDEAS
    21. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
    22. David Dranove & Daniel Kessler & Mark McClellan & Mark Satterthwaite, 2003. "Is More Information Better? The Effects of "Report Cards" on Health Care Providers," Journal of Political Economy, University of Chicago Press, vol. 111(3), pages 555-588, June.
    23. Phelan, Christopher, 2006. "Public trust and government betrayal," Journal of Economic Theory, Elsevier, vol. 130(1), pages 27-43, September.
    24. Glazer, Jacob & McGuire, Thomas G., 2006. "Optimal quality reporting in markets for health plans," Journal of Health Economics, Elsevier, vol. 25(2), pages 295-310, March.
    25. Chrysanthos Dellarocas, 2006. "How Often Should Reputation Mechanisms Update a Trader's Reputation Profile?," Information Systems Research, INFORMS, vol. 17(3), pages 271-285, September.
    26. Mathias Dewatripont & Ian Jewitt & Jean Tirole, 1999. "The Economics of Career Concerns, Part I: Comparing Information Structures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 183-198.
    27. Brian A. Jacob & Lars Lefgren, 2005. "Principals as Agents: Subjective Performance Measurement in Education," NBER Working Papers 11463, National Bureau of Economic Research, Inc.
    28. Frydman, Halina, 2005. "Estimation in the Mixture of Markov Chains Moving With Different Speeds," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 1046-1053, September.
    29. Mathias Dewatripont & Ian Jewitt & Jean Tirole, 1999. "The Economics of Career Concerns, Part I: Comparing Information Structures," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 183-198.
    30. Gonzalo Cisternas, 2018. "Career Concerns and the Nature of Skills," American Economic Journal: Microeconomics, American Economic Association, vol. 10(2), pages 152-189, May.
    31. Jeffrey C. Ely, 2017. "Beeps," American Economic Review, American Economic Association, vol. 107(1), pages 31-53, January.
    32. Lando, David & Skodeberg, Torben M., 2002. "Analyzing rating transitions and rating drift with continuous observations," Journal of Banking & Finance, Elsevier, vol. 26(2-3), pages 423-444, March.
    33. Stefanescu, Catalina & Tunaru, Radu & Turnbull, Stuart, 2009. "The credit rating process and estimation of transition probabilities: A Bayesian approach," Journal of Empirical Finance, Elsevier, vol. 16(2), pages 216-234, March.
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    Cited by:

    1. Dirk Bergemann & Marco Ottaviani, 2021. "Information Markets and Nonmarkets," Cowles Foundation Discussion Papers 2296, Cowles Foundation for Research in Economics, Yale University.
    2. Hakenes, Hendrik & Katolnik, Svetlana, 2017. "On the incentive effects of job rotation," European Economic Review, Elsevier, vol. 98(C), pages 424-441.
    3. Kaya, Ayça & Roy, Santanu, 2022. "Market screening with limited records," Games and Economic Behavior, Elsevier, vol. 132(C), pages 106-132.
    4. Sergey Kovbasyuk & Giancarlo Spagnolo, 2024. "Memory and Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 91(3), pages 1775-1806.
    5. Tan, Teck Yong, 2023. "Optimal transparency of monitoring capability," Journal of Economic Theory, Elsevier, vol. 209(C).
    6. Yasui, Yuta, 2021. "Controlling Fake Reviews," MPRA Paper 108177, University Library of Munich, Germany.

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    More about this item

    Keywords

    Career Concerns; Mechanism Design; Ratings.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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