IDEAS home Printed from https://ideas.repec.org/p/duk/dukeec/10-61.html
   My bibliography  Save this paper

Performance and Turnover in a Stochastic Partnership

Author

Listed:
  • David McAdams

Abstract

This paper characterizes the social-welfare maximizing equilibrium of a stochastic partnership matching market", in which players paired to play a stochastic game may quit to be costlessly and anonymously re-matched. Patterns of performance and turnover in this equilibrium are consistent with the well-known \survivorship bias" and, if partners form \meaningful rst impressions", with the \honeymoon e ect". By contrast, maximizing social welfare in standard repeated games with re-matching typically requires that players receive low payo s at the start of each relationship. Welfare and turnover comparative statics are also provided: higher partnership-states are associated with higher joint payo s and, in the special case of an exogenous stochastic process, with both higher joint stage-game and joint continuation payo s as well as longer-lasting relationships.

Suggested Citation

  • David McAdams, 2010. "Performance and Turnover in a Stochastic Partnership," Working Papers 10-61, Duke University, Department of Economics.
    • Handle: RePEc:duk:dukeec:10-61
    as

    Download full text from publisher

    File URL: http://papers.ssrn.com/abstract=1677568
    File Function: main text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Christopher A. Pissarides, 1994. "Search Unemployment with On-the-job Search," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(3), pages 457-475.
    2. Athey, Susan & Bagwell, Kyle, 2001. "Optimal Collusion with Private Information," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 428-465, Autumn.
    3. Carmichael, H Lorne & MacLeod, W Bentley, 1997. "Gift Giving and the Evolution of Cooperation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 485-509, August.
    4. Betsey Stevenson & Justin Wolfers, 2007. "Marriage and Divorce: Changes and their Driving Forces," Journal of Economic Perspectives, American Economic Association, vol. 21(2), pages 27-52, Spring.
    5. Kyle Bagwell & Robert Staiger, 1997. "Collusion Over the Business Cycle," RAND Journal of Economics, The RAND Corporation, vol. 28(1), pages 82-106, Spring.
    6. Sylvain Chassang, 2010. "Building Routines: Learning, Cooperation, and the Dynamics of Incomplete Relational Contracts," American Economic Review, American Economic Association, vol. 100(1), pages 448-465, March.
    7. Amir, Rabah, 1996. "Continuous Stochastic Games of Capital Accumulation with Convex Transitions," Games and Economic Behavior, Elsevier, vol. 15(2), pages 111-131, August.
    8. Sylvain Chassang, 2010. "Fear of Miscoordination and the Robustness of Cooperation in Dynamic Global Games With Exit," Econometrica, Econometric Society, vol. 78(3), pages 973-1006, May.
    9. 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.
    10. Robert H. Topel & Michael P. Ward, 1992. "Job Mobility and the Careers of Young Men," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 439-479.
    11. Rafael Rob & Huanxing Yang, 2010. "Long-term relationships as safeguards," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(2), pages 143-166, May.
    12. Steven R. Grenadier, 2002. "Option Exercise Games: An Application to the Equilibrium Investment Strategies of Firms," The Review of Financial Studies, Society for Financial Studies, vol. 15(3), pages 691-721.
    13. Garey Ramey & Joel Watson, 1997. "Contractual Fragility, Job Destruction, and Business Cycles," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(3), pages 873-911.
    14. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    15. Jovanovic, Boyan, 1979. "Job Matching and the Theory of Turnover," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 972-990, October.
    16. Levinthal, D.A. & Fichman, M., 1991. "Honeymoons and the Liability of Adolescence : A New Perspective on Duration Dependence in Social Organizational Relationships," GSIA Working Papers 1991-34, Carnegie Mellon University, Tepper School of Business.
    17. Jan Eeckhout, 2006. "Minorities and Endogenous Segregation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 31-53.
    18. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    19. Jovanovic, Boyan, 1979. "Firm-specific Capital and Turnover," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1246-1260, December.
    20. Johannes Hörner & Julian Jamison, 2007. "Collusion with (almost) no information," RAND Journal of Economics, RAND Corporation, vol. 38(3), pages 804-822, September.
    21. Kranton, Rachel E, 1996. "The Formation of Cooperative Relationships," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 12(1), pages 214-233, April.
    22. Watson, Joel, 1999. "Starting Small and Renegotiation," Journal of Economic Theory, Elsevier, vol. 85(1), pages 52-90, March.
    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. Sperisen, Benjamin & Wiseman, Thomas, 2020. "Too good to fire: Non-assortative matching to play a dynamic game," Games and Economic Behavior, Elsevier, vol. 124(C), pages 491-511.
    2. Rumen Kostadinov, 2023. "Worst-case Regret in Ambiguous Dynamic Games," Department of Economics Working Papers 2022-08, McMaster University.
    3. Anil K. Jain, 2022. "Financing Repeat Borrowers: Designing Credible Incentives for Today and Tomorrow," International Finance Discussion Papers 1364, Board of Governors of the Federal Reserve System (U.S.).
    4. Francesc Dilmé & Daniel F. Garrett, 2023. "Relational Contracts: Public versus Private Savings," Econometrica, Econometric Society, vol. 91(3), pages 1025-1075, May.
    5. Takako Fujiwara‐Greve & Henrich R. Greve & Stefan Jonsson, 2016. "Asymmetry Of Customer Loss And Recovery Under Endogenous Partnerships: Theory And Evidence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57(1), pages 3-30, February.
    6. Matthias Fahn & Takeshi Murooka, 2022. "Informal Incentives and Labor Markets," CESifo Working Paper Series 9740, CESifo.
    7. James M. Malcomson, 2012. "Relational Incentive Contracts [The Handbook of Organizational Economics]," Introductory Chapters,, Princeton University Press.
    8. Matthias Fahn & Takeshi Murooka, 2021. "Informal Incentives, Labor Supply, and the Effect of Immigration on Wages," Economics working papers 2021-12, Department of Economics, Johannes Kepler University Linz, Austria.
    9. Fahn, Matthias & Murooka, Takeshi, 2024. "Informal Incentives and Labor Markets," IZA Discussion Papers 17042, Institute of Labor Economics (IZA).
    10. Daniel F. Garrett & Alessandro Pavan, 2012. "Managerial Turnover in a Changing World," Journal of Political Economy, University of Chicago Press, vol. 120(5), pages 879-925.
    11. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara & Nobue Suzuki, 2015. "Efficiency may improve when defectors exist," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 423-460, November.
    12. Simon Board, 2011. "Relational Contracts and the Value of Loyalty," American Economic Review, American Economic Association, vol. 101(7), pages 3349-3367, December.
    13. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara, 2013. "Diverse Behavior Patterns in a Symmetric Society with Voluntary Partnerships," Working Papers e062, Tokyo Center for Economic Research.
    14. Suehyun Kwon, 2016. "Relational contracts in a persistent environment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(1), pages 183-205, January.

    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. James M. Malcomson, 2012. "Relational Incentive Contracts [The Handbook of Organizational Economics]," Introductory Chapters,, Princeton University Press.
    2. Filip Vesely & Chun-Lei Yang, 2013. "On Optimal Social Convention in Voluntary Continuation Prisoner's Dilemma Games," CESifo Working Paper Series 4553, CESifo.
    3. Rauch, James E. & Watson, Joel, 2003. "Starting small in an unfamiliar environment," International Journal of Industrial Organization, Elsevier, vol. 21(7), pages 1021-1042, September.
    4. Jin Li & Niko Matouschek & Michael Powell, 2017. "Power Dynamics in Organizations," American Economic Journal: Microeconomics, American Economic Association, vol. 9(1), pages 217-241, February.
    5. Joel Sobel, 2006. "For Better or Forever: Formal versus Informal Enforcement," Journal of Labor Economics, University of Chicago Press, vol. 24(2), pages 271-298, April.
    6. W. Bentley MacLeod, 2006. "Reputations, Relationships and the Enforcement of Incomplete Contracts," CESifo Working Paper Series 1730, CESifo.
    7. Burdett Kenneth & Imai Ryoichi & Wright Randall, 2004. "Unstable Relationships," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(1), pages 1-44, January.
    8. Rafael Rob & Huanxing Yang, 2010. "Long-term relationships as safeguards," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(2), pages 143-166, May.
    9. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara & Nobue Suzuki, 2015. "Efficiency may improve when defectors exist," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(3), pages 423-460, November.
    10. Fischer, Christian, 2020. "Optimal payment contracts in trade relationships," MPRA Paper 101956, University Library of Munich, Germany.
    11. Fahn, Matthias & Murooka, Takeshi, 2024. "Informal Incentives and Labor Markets," IZA Discussion Papers 17042, Institute of Labor Economics (IZA).
    12. I. Sebastian Buhai & Coen N. Teulings, 2014. "Tenure Profiles and Efficient Separation in a Stochastic Productivity Model," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 32(2), pages 245-258, April.
    13. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara, 2009. "Voluntarily Separable Repeated Prisoner's Dilemma," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 993-1021.
    14. Li, Jin & Mukherjee, Arijit & Vasconcelos, Luis, 2019. "Rulebooks in Relational Contracts," Working Papers 2019-7, Michigan State University, Department of Economics.
    15. Huanxing Yang, 2013. "Nonstationary Relational Contracts With Adverse Selection," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(2), pages 525-547, May.
    16. Bramoullé, Yann & Goyal, Sanjeev, 2016. "Favoritism," Journal of Development Economics, Elsevier, vol. 122(C), pages 16-27.
    17. Sami Napari, 2008. "The Early‐career Gender Wage Gap among University Graduates in the Finnish Private Sector," LABOUR, CEIS, vol. 22(4), pages 697-733, December.
    18. Drewianka, Scott, 2006. "A generalized model of commitment," Mathematical Social Sciences, Elsevier, vol. 52(3), pages 233-251, December.
    19. Bergemann, Annette & Mertens, Antje, 2004. "Job Stability Trends, Layoffs, and Transitions to Unemployment: An Empirical Analysis for West Germany," IZA Discussion Papers 1368, Institute of Labor Economics (IZA).
    20. Zsolt Csáfordi & László Lőrincz & Balázs Lengyel & Károly Miklós Kiss, 2020. "Productivity spillovers through labor flows: productivity gap, multinational experience and industry relatedness," The Journal of Technology Transfer, Springer, vol. 45(1), pages 86-121, February.

    More about this item

    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
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

    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:duk:dukeec:10-61. 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: Department of Economics Webmaster (email available below). General contact details of provider: http://econ.duke.edu/ .

    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.