Discrete-Time Approximations of the Holmstrom-Milgrom Brownian-Motion Model of Intertemporal Incentive Provision
This paper studies the relation between discrete-time and continuous-time principal-agent models. We derive the continuous-time model as a limit of discrete-time models with ever shorter periods and show that optimal incentive schemes in the discrete-time models approximate the optimal incentive scheme in the continuous model, which is "linear in accounts". Under the additional assumption that the principal observes only cumulative total profits at the end and the agent can destroy profits unnoticed, an incentive scheme that is "linear in total profits" is shown to be approximately optimal in the discrete-time model when the length of the period is small. Copyright The Econometric Society 2002.
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Volume (Year): 70 (2002)
Issue (Month): 6 (November)
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- Hellwig, Martin & Schmidt, Klaus M., 2001.
"Discrete-Time Approximations of the Holmström-Milgrom Brownian-Motion Model of Intertemporal Incentive Provision,"
Sonderforschungsbereich 504 Publications
01-52, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
- Martin F. Hellwig & Klaus M. Schmidt, 2002. "Discrete-Time Approximations of the Holmstrom-Milgrom Brownian-Motion Model of Intertemporal Incentive Provision," Econometrica, Econometric Society, vol. 70(6), pages 2225-2264, November.
- Hellwig, Martin & Schmidt, Klaus M., 1998. "Discrete-time approximations of the Holmström-Milgrom Brownian-motion model of intertemporal incentive provision," Papers 98-06, Sonderforschungsbreich 504.
- Hellwig, Martin F. & Schmidt, Klaus M., 2002. "Discrete-time approximations of the Holmström-Milgrom brownian-motion model of intertemporal incentive provision," Munich Reprints in Economics 19425, University of Munich, Department of Economics.
- Hellwig, Martin & Schmidt, Klaus M., 1998. "Discrete-Time Approximations of the Holmström-Milgrom Brownian-Motion, Model of Intertemporal Incentive Provision," Sonderforschungsbereich 504 Publications 98-06, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
- Hellwig, Martin F. & Schmidt, Klaus M., 2001. "Discrete-Time Approximations of the Holmström-Milgrom Brownian-Motion Model of Intertemporal Incentive Provision," Discussion Papers in Economics 22, University of Munich, Department of Economics.
- Bengt Holmstrom & Paul R. Milgrom, 1985.
"Aggregation and Linearity in the Provision of Intertemporal Incentives,"
Cowles Foundation Discussion Papers
742, Cowles Foundation for Research in Economics, Yale University.
- Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-28, March.
- 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.
- Itoh, Hideshi, 1992. "Cooperation in Hierarchical Organizations: An Incentive Perspective," Journal of Law, Economics and Organization, Oxford University Press, vol. 8(2), pages 321-45, April.
- 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.
- Hellwig, Martin F., 1996. "Sequential decisions under uncertainty and the maximum theorem," Journal of Mathematical Economics, Elsevier, vol. 25(4), pages 443-464.
- J. A. Mirrlees, 1999. "The Theory of Moral Hazard and Unobservable Behaviour: Part I," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 3-21.
- repec:oup:restud:v:66:y:1999:i:1:p:3-21 is not listed on IDEAS
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