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Relational contracts, limited liability, and employment dynamics

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  • Fong, Yuk-fai
  • Li, Jin

Abstract

This paper studies a relational contracting model in which the agent is protected by a limited liability constraint. The agent's effort is his private information and affects output stochastically. We characterize the optimal relational contract and compare the dynamics of the relationship with that under the optimal long-term contract. Under the optimal relational contract, the relationship is less likely to survive, and the surviving relationship is less efficient. In addition, relationships always converge to a steady state under the optimal long-term contract, but they can cycle among different phases under the optimal relational contract.

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  • Fong, Yuk-fai & Li, Jin, 2017. "Relational contracts, limited liability, and employment dynamics," Journal of Economic Theory, Elsevier, vol. 169(C), pages 270-293.
    • Handle: RePEc:eee:jetheo:v:169:y:2017:i:c:p:270-293
    DOI: 10.1016/j.jet.2017.02.006
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    as
    1. Jonathan Levin, 2003. "Relational Incentive Contracts," American Economic Review, American Economic Association, vol. 93(3), pages 835-857, June.
    2. Jonathan Thomas & Tim Worrall, 1994. "Foreign Direct Investment and the Risk of Expropriation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(1), pages 81-108.
    3. Athey, Susan & Bagwell, Kyle, 2001. "Optimal Collusion with Private Information," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 428-465, Autumn.
    4. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016064.
    5. Bruno Biais & Thomas Mariotti & Guillaume Plantin & Jean-Charles Rochet, 2007. "Dynamic Security Design: Convergence to Continuous Time and Asset Pricing Implications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 345-390.
    6. Matthew Freedman & Renáta Kosová, 2014. "Agency and Compensation: Evidence from the Hotel Industry," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 30(1), pages 72-103.
    7. Sannikov, Yuliy, 2013. "Dynamic Security Design and Corporate Financing," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 71-122, Elsevier.
    8. Marina Halac, 2012. "Relational Contracts and the Value of Relationships," American Economic Review, American Economic Association, vol. 102(2), pages 750-779, April.
    9. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107638105.
    10. Peter M. DeMarzo & Michael J. Fishman, 2007. "Optimal Long-Term Financial Contracting," The Review of Financial Studies, Society for Financial Studies, vol. 20(6), pages 2079-2128, November.
    11. Guillaume Plantin & Bruno Biais & Thomas Mariotti & Jean-Charles Rochet, 2004. "Dynamic Security Design," GSIA Working Papers 2005-E5, Carnegie Mellon University, Tepper School of Business.
    12. Debraj Ray, 2002. "The Time Structure of Self-Enforcing Agreements," Econometrica, Econometric Society, vol. 70(2), pages 547-582, March.
    13. Farber, Henry S, 1994. "The Analysis of Interfirm Worker Mobility," Journal of Labor Economics, University of Chicago Press, vol. 12(4), pages 554-593, October.
    14. Hashimoto, Masanori, 1979. "Bonus Payments, on-the-Job Training, and Lifetime Employment in Japan," Journal of Political Economy, University of Chicago Press, vol. 87(5), pages 1086-1104, October.
    15. MacLeod, W Bentley & Malcomson, James M, 1988. "Reputation and Hierarchy in Dynamic Models of Employment," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 832-854, August.
    16. Drew Fudenberg & David K. Levine, 2008. "Efficiency and Observability with Long-Run and Short-Run Players," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 13, pages 275-307, World Scientific Publishing Co. Pte. Ltd..
    17. Gibbons, Robert & Murphy, Kevin J, 1992. "Optimal Incentive Contracts in the Presence of Career Concerns: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 468-505, June.
    18. Gerard Padró I Miquel & Pierre Yared, 2012. "The Political Economy of Indirect Control," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(2), pages 947-1015.
    19. Jonathan Thomas & Tim Worrall, 1988. "Self-Enforcing Wage Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 541-554.
    20. Jonathan P Thomas & Tim Worrall, 2010. "Dynamic Relational Contracts with Credit Constraints," Economics Discussion Paper Series 1009, Economics, The University of Manchester.
    21. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-1063, September.
    22. Green, Edward J & Porter, Robert H, 1984. "Noncooperative Collusion under Imperfect Price Information," Econometrica, Econometric Society, vol. 52(1), pages 87-100, January.
    23. Lawrence M. Kahn & Peter D. Sherer, 1990. "Contingent Pay and Managerial Performance," ILR Review, Cornell University, ILR School, vol. 43(3), pages 107-1-120-, April.
    24. William Fuchs, 2007. "Contracting with Repeated Moral Hazard and Private Evaluations," American Economic Review, American Economic Association, vol. 97(4), pages 1432-1448, September.
    25. Thomas, Jonathan & Worrall, Tim, 1990. "Income fluctuation and asymmetric information: An example of a repeated principal-agent problem," Journal of Economic Theory, Elsevier, vol. 51(2), pages 367-390, August.
    26. MacLeod, W Bentley & Malcomson, James M, 1998. "Motivation and Markets," American Economic Review, American Economic Association, vol. 88(3), pages 388-411, June.
    27. Jin Li & Niko Matouschek, 2013. "Managing Conflicts in Relational Contracts," American Economic Review, American Economic Association, vol. 103(6), pages 2328-2351, October.
    28. Jovanovic, Boyan, 1979. "Firm-specific Capital and Turnover," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1246-1260, December.
    29. Alan B. Krueger, 1991. "Ownership, Agency, and Wages: An Examination of Franchising in the Fast Food Industry," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(1), pages 75-101.
    30. Rui Albuquerque & Hugo A. Hopenhayn, 2004. "Optimal Lending Contracts and Firm Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(2), pages 285-315.
    31. 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.
    32. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016057.
    33. John Y. Zhu, 2013. "Optimal Contracts with Shirking," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 812-839.
    34. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107674165.
    35. Sanjog Misra & Anne Coughlan & Chakravarthi Narasimhan, 2005. "Salesforce Compensation: An Analytical and Empirical Examination of the Agency Theoretic Approach," Quantitative Marketing and Economics (QME), Springer, vol. 3(1), pages 5-39, January.
    36. Gompers, Paul & Lerner, Josh, 1999. "An analysis of compensation in the U.S. venture capital partnership," Journal of Financial Economics, Elsevier, vol. 51(1), pages 3-44, January.
    37. Milton Harris & Bengt Holmstrom, 1982. "A Theory of Wage Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(3), pages 315-333.
    38. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(4), pages 599-617.
    39. MacLeod, W Bentley & Malcomson, James M, 1989. "Implicit Contracts, Incentive Compatibility, and Involuntary Unemployment," Econometrica, Econometric Society, vol. 57(2), pages 447-480, March.
    40. PETER M. DeMARZO & YULIY SANNIKOV, 2006. "Optimal Security Design and Dynamic Capital Structure in a Continuous‐Time Agency Model," Journal of Finance, American Finance Association, vol. 61(6), pages 2681-2724, December.
    41. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107627314.
    42. Quadrini, Vincenzo, 2004. "Investment and liquidation in renegotiation-proof contracts with moral hazard," Journal of Monetary Economics, Elsevier, vol. 51(4), pages 713-751, May.
    43. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016040.
    44. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    45. Marcus M. Opp & John Y. Zhu, 2015. "Impatience versus Incentives," Econometrica, Econometric Society, vol. 83(4), pages 1601-1617, July.
    46. Rubinstein, Yona & Weiss, Yoram, 2006. "Post Schooling Wage Growth: Investment, Search and Learning," Handbook of the Economics of Education, in: Erik Hanushek & F. Welch (ed.), Handbook of the Economics of Education, edition 1, volume 1, chapter 1, pages 1-67, Elsevier.
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    Cited by:

    1. Daniel Herbold & Heiner Schumacher, 2020. "Relational retention," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 41(4), pages 490-502, June.
    2. Joel Watson & David A. Miller & Trond E. Olsen, 2020. "Relational Contracting, Negotiation, and External Enforcement," American Economic Review, American Economic Association, vol. 110(7), pages 2153-2197, July.
    3. Lipnowski, Elliot & Ramos, João, 2020. "Repeated delegation," Journal of Economic Theory, Elsevier, vol. 188(C).
    4. Florian Englmaier & Matthias Fahn & Marco A. Schwarz, 2016. "Long-Term Employment Relations when Agents are Present Biased," CESifo Working Paper Series 6159, CESifo.
    5. Thomas, Jonathan P. & Worrall, Tim, 2018. "Dynamic relational contracts under complete information," Journal of Economic Theory, Elsevier, vol. 175(C), pages 624-651.
    6. Matthias Fahn & Anne Schade & Katharina Schüßler, 2017. "What Drives Reciprocal Behavior? The Optimal Provision of Incentives over the Course of Careers," CESifo Working Paper Series 6635, CESifo.
    7. Paltseva, Elena & Toews , Gerhard & Troya-Martinez, Marta, 2022. "I’ll pay you later: Sustaining Relationships under the Threat of Expropriation," SITE Working Paper Series 59, Stockholm School of Economics, Stockholm Institute of Transition Economics.
    8. Daniel Barron & Yingni Guo, 0. "The Use and Misuse of Coordinated Punishments," The Quarterly Journal of Economics, Oxford University Press, vol. 136(1), pages 471-504.
    9. Daniel Barron & Jin Li & Michał Zator, 2022. "Morale and Debt Dynamics," Management Science, INFORMS, vol. 68(6), pages 4496-4516, June.
    10. Francesc Dilmé & Daniel F. Garrett, 2023. "Relational Contracts: Public versus Private Savings," Econometrica, Econometric Society, vol. 91(3), pages 1025-1075, May.
    11. Au, Pak Hung & Chen, Bin R., 2019. "Objective and subjective indicators in long-term contracting," Journal of Economic Behavior & Organization, Elsevier, vol. 166(C), pages 309-331.
    12. Jin Li & Arijit Mukherjee & Luis Vasconcelos, 2023. "What Makes Agility Fragile? A Dynamic Theory of Organizational Rigidity," Management Science, INFORMS, vol. 69(6), pages 3578-3601, June.
    13. Szydlowski, Martin & Yoon, Ji Hee, 2022. "Ambiguity in dynamic contracts," Journal of Economic Theory, Elsevier, vol. 199(C).
    14. Grochulski, Borys & Zhang, Yuzhe, 2023. "Termination as an incentive device," Theoretical Economics, Econometric Society, vol. 18(1), January.

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    More about this item

    Keywords

    Relational contracts; Limited liability; Efficiency wages;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • J33 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Compensation Packages; Payment Methods
    • L24 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Contracting Out; Joint Ventures

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