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Relational Contracts: Public Versus Private Savings

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  • Francesc Dilmé
  • Daniel Garrett

Abstract

We study relational contracting with an agent who has consumption-smoothing preferences as well as the ability to save to defer consumption (or to borrow). We compare principal-optimal relational contracts in two settings. The first where the agent’s consumption and savings decisions are private, and the second where these decisions are publicly observed. In the first case, the agent smooths his consumption over time, the agent’s effort and payments eventually decrease over time, and the balances on his savings account eventually increase. In essence, the relationship eventually deteriorates with time. In the second case, the relational contract can specify the level of consumption by the agent in each period. The optimal contract calls for the agent to consume earlier than he would like, consumption and balances on the account fall over time, and effort and payments to the agent increase. Our results suggest a possible explanation for low savings rates in certain industries where incentive pay plays an important role.

Suggested Citation

  • Francesc Dilmé & Daniel Garrett, 2019. "Relational Contracts: Public Versus Private Savings," CRC TR 224 Discussion Paper Series crctr224_2019_132, University of Bonn and University of Mannheim, Germany.
  • Handle: RePEc:bon:boncrc:crctr224_2019_132
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    1. Luis Garicano & Luis Rayo, 2017. "Relational Knowledge Transfers," American Economic Review, American Economic Association, vol. 107(9), pages 2695-2730, September.
    2. Matthias Fahn & Valeria Merlo & Georg Wamser, 2019. "The Commitment Role of Equity Financing," Journal of the European Economic Association, European Economic Association, vol. 17(4), pages 1232-1260.
    3. Drew Fudenberg & Luis Rayo, 2019. "Training and Effort Dynamics in Apprenticeship," American Economic Review, American Economic Association, vol. 109(11), pages 3780-3812, November.
    4. Christopher Phelan & Robert M. Townsend, 1991. "Computing Multi-Period, Information-Constrained Optima," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(5), pages 853-881.
    5. Wahhaj, Zaki, 2010. "Social norms and individual savings in the context of informal insurance," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 511-530, December.
    6. 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.
    7. Alex Edmans & Xavier Gabaix & Tomasz Sadzik & Yuliy Sannikov, 2012. "Dynamic CEO Compensation," Journal of Finance, American Finance Association, vol. 67(5), pages 1603-1647, October.
    8. Jonathan Levin, 2003. "Relational Incentive Contracts," American Economic Review, American Economic Association, vol. 93(3), pages 835-857, June.
    9. Ethan Ligon & Jonathan P. Thomas & Tim Worrall, 2000. "Mutual Insurance, Individual Savings and Limited Commitment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 216-246, April.
    10. Ábrahám, Árpád & Koehne, Sebastian & Pavoni, Nicola, 2011. "On the first-order approach in principal-agent models with hidden borrowing and lending," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1331-1361, July.
    11. Isaiah Andrews & Daniel Barron, 2016. "The Allocation of Future Business: Dynamic Relational Contracts with Multiple Agents," American Economic Review, American Economic Association, vol. 106(9), pages 2742-2759, September.
    12. Sebastian Di Tella & Yuliy Sannikov, 2021. "Optimal Asset Management Contracts With Hidden Savings," Econometrica, Econometric Society, vol. 89(3), pages 1099-1139, May.
    13. 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.
    14. Florian Englmaier & Matthias Fahn, 2019. "Size Matters: How Over-Investments Relax Liquidity Constraints in Relational Contracts," The Economic Journal, Royal Economic Society, vol. 129(624), pages 3092-3106.
    15. W. Bentley MacLeod, 2007. "Reputations, Relationships, and Contract Enforcement," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 595-628, September.
    16. Zhiguo He, 2012. "Dynamic Compensation Contracts with Private Savings," The Review of Financial Studies, Society for Financial Studies, vol. 25(5), pages 1494-1549.
    17. MacLeod, W Bentley & Malcomson, James M, 1989. "Implicit Contracts, Incentive Compatibility, and Involuntary Unemployment," Econometrica, Econometric Society, vol. 57(2), pages 447-480, March.
    18. Noah Williams, 2011. "Persistent Private Information," Econometrica, Econometric Society, vol. 79(4), pages 1233-1275, July.
    19. William Fuchs, 2007. "Contracting with Repeated Moral Hazard and Private Evaluations," American Economic Review, American Economic Association, vol. 97(4), pages 1432-1448, September.
    20. David McAdams, 2011. "Performance and Turnover in a Stochastic Partnership," American Economic Journal: Microeconomics, American Economic Association, vol. 3(4), pages 107-142, November.
    21. Andrew Atkeson & Robert E. Lucas, 1992. "On Efficient Distribution With Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(3), pages 427-453.
    22. Pearce, David G. & Stacchetti, Ennio, 1998. "The Interaction of Implicit and Explicit Contracts in Repeated Agency," Games and Economic Behavior, Elsevier, vol. 23(1), pages 75-96, April.
    23. Narayana Kocherlakota, 2004. "Figuring out the Impact of Hidden Savings on Optimal Unemployment Insurance," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(3), pages 541-554, July.
    24. Marcet, Albert & Marimon, Ramon, 1992. "Communication, commitment, and growth," Journal of Economic Theory, Elsevier, vol. 58(2), pages 219-249, December.
    25. Alessandra Voena, 2015. "Yours, Mine, and Ours: Do Divorce Laws Affect the Intertemporal Behavior of Married Couples?," American Economic Review, American Economic Association, vol. 105(8), pages 2295-2332, August.
    26. Richard A. Lambert, 1983. "Long-Term Contracts and Moral Hazard," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 441-452, Autumn.
    27. Marina Halac, 2012. "Relational Contracts and the Value of Relationships," American Economic Review, American Economic Association, vol. 102(2), pages 750-779, April.
    28. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
    29. 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.
    30. 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.
    31. Mitchell, Matthew & Zhang, Yuzhe, 2010. "Unemployment insurance with hidden savings," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2078-2107, November.
    32. George W. Hilton, 1957. "The British Truck System in the Nineteenth Century," Journal of Political Economy, University of Chicago Press, vol. 65(3), pages 237-237.
    33. Debraj Ray, 2002. "The Time Structure of Self-Enforcing Agreements," Econometrica, Econometric Society, vol. 70(2), pages 547-582, March.
    34. James M Malcomson, 2024. "Uncertainty, Investment and Productivity with Relational Contracts," Journal of the European Economic Association, European Economic Association, vol. 22(3), pages 1139-1176.
    35. Clive Bull, 1987. "The Existence of Self-Enforcing Implicit Contracts," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(1), pages 147-159.
    36. Williams, Noah, 2015. "A solvable continuous time dynamic principal–agent model," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 989-1015.
    37. Postlewaite, Andrew, 1998. "The social basis of interdependent preferences," European Economic Review, Elsevier, vol. 42(3-5), pages 779-800, May.
    38. 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.
    39. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
    40. Chien, YiLi & Song, Joon, 2014. "A Note On Using Excessive Perks To Restrain The Hidden Saving Problem," Macroeconomic Dynamics, Cambridge University Press, vol. 18(2), pages 480-496, March.
    41. Jin Li & Niko Matouschek, 2013. "Managing Conflicts in Relational Contracts," American Economic Review, American Economic Association, vol. 103(6), pages 2328-2351, October.
    42. Marina Halac, 2015. "Investing in a relationship," RAND Journal of Economics, RAND Corporation, vol. 46(1), pages 165-185, March.
    43. Garrett, Daniel F. & Pavan, Alessandro, 2015. "Dynamic managerial compensation: A variational approach," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 775-818.
    44. Harold L. Cole & Narayana R. Kocherlakota, 2001. "Efficient Allocations with Hidden Income and Hidden Storage," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(3), pages 523-542.
    45. Daniel Barron & Michael Powell, 2019. "Policies in Relational Contracts," American Economic Journal: Microeconomics, American Economic Association, vol. 11(2), pages 228-249, May.
    46. 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.
    47. Árpád Ábrahám & Nicola Pavoni, 2005. "The Efficient Allocation of Consumption under Moral Hazard and Hidden Access to the Credit Market," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 370-381, 04/05.
    48. 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.
    49. Fong, Yuk-fai & Li, Jin, 2017. "Relational contracts, limited liability, and employment dynamics," Journal of Economic Theory, Elsevier, vol. 169(C), pages 270-293.
    50. Di Tella, Sebastian & Sannikov, Yuliy, 2016. "Optimal Asset Management Contracts with Hidden Savings," Research Papers 3429, Stanford University, Graduate School of Business.
    51. Simon Board, 2011. "Relational Contracts and the Value of Loyalty," American Economic Review, American Economic Association, vol. 101(7), pages 3349-3367, December.
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    More about this item

    Keywords

    relational contracts; consumption smoothing preferences; private savings;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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