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Optimality of Linearity with Collusion and Renegotiation

  • Mehmet Barlo
  • Ayca Ozdogan

This study analyzes a continuous-time N-agent Brownian moral hazard model with constant absolute risk aversion (CARA) utilities, in which agents’ actions jointly determine the mean and variance of the outcome process. In order to give a theoretical justification for the use of linear contracts, as in Holmstrom and Milgrom (1987), we consider a variant of its generalization given by Sung (1995), into which collusion and renegotiation possibilities among agents are incorporated. In this model, we prove that there exists a linear and stationary optimal compensation scheme which is also immune to collusion and renegotiation.

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Paper provided by TOBB University of Economics and Technology, Department of Economics in its series Working Papers with number 1109.

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Date of creation: Dec 2011
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Handle: RePEc:tob:wpaper:1109
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  1. Francine Lafontaine, 1992. "Agency Theory and Franchising: Some Empirical Results," RAND Journal of Economics, The RAND Corporation, vol. 23(2), pages 263-283, Summer.
  2. Schattler, Heinz & Sung, Jaeyoung, 1997. "On optimal sharing rules in discrete-and continuous-time principal-agent problems with exponential utility," Journal of Economic Dynamics and Control, Elsevier, vol. 21(2-3), pages 551-574.
  3. Sanford Grossman & Oliver Hart, . "An Analysis of the Principal-Agent Problem," Rodney L. White Center for Financial Research Working Papers 15-80, Wharton School Rodney L. White Center for Financial Research.
  4. Cvitanic Jaksa & Wan Xuhu & Zhang Jianfeng, 2008. "Principal-Agent Problems with Exit Options," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-43, October.
  5. Rogerson, William P, 1985. "The First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 53(6), pages 1357-67, November.
  6. Brennan, M. J. & Kraus, Alan, 1978. "Necessary Conditions for Aggregation in Securities Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(03), pages 407-418, September.
  7. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-28, March.
  8. Jewitt, Ian, 1988. "Justifying the First-Order Approach to Principal-Agent Problems," Econometrica, Econometric Society, vol. 56(5), pages 1177-90, September.
  9. Noah Williams, 2004. "On Dynamic Principal-Agent Problems in Continuous Time," Levine's Bibliography 122247000000000426, UCLA Department of Economics.
  10. Mehmet Barlo & Ayça Özdoğan, 2013. "The Optimality of Team Contracts," Games, MDPI, Open Access Journal, vol. 4(4), pages 670-689, November.
  11. Yeon-Koo Che & Seung-Weon Yoo, 2001. "Optimal Incentives for Teams," American Economic Review, American Economic Association, vol. 91(3), pages 525-541, June.
  12. Jaeyoung Sung, 1995. "Linearity with Project Selection and Controllable Diffusion Rate in Continuous-Time Principal-Agent Problems," RAND Journal of Economics, The RAND Corporation, vol. 26(4), pages 720-743, Winter.
  13. Bengt Holmstrom, 1982. "Moral Hazard in Teams," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 324-340, Autumn.
  14. Yuliy Sannikov, 2008. "A Continuous-Time Version of the Principal-Agent Problem," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 957-984.
  15. Slade, Margaret E, 1996. "Multitask Agency and Contract Choice: An Empirical Exploration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(2), pages 465-86, May.
  16. Hyeng Keun Koo & Gyoocheol Shim & Jaeyoung Sung, 2008. "Optimal Multi-Agent Performance Measures For Team Contracts," Mathematical Finance, Wiley Blackwell, vol. 18(4), pages 649-667.
  17. Itoh Hideshi, 1993. "Coalitions, Incentives, and Risk Sharing," Journal of Economic Theory, Elsevier, vol. 60(2), pages 410-427, August.
  18. Bone, John, 1998. "Risk-sharing CARA individuals are collectively EU," Economics Letters, Elsevier, vol. 58(3), pages 311-317, March.
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