Discrete-Time Approximations of the Holmstrom-Milgrom Brownian-Motion Model of Intertemporal Incentive Provision
Abstract
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.Download Info
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Bibliographic Info
Article provided by Econometric Society in its journal Econometrica.
Volume (Year): 70 (2002)
Issue (Month): 6 (November)
Pages: 2225-2264
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Related research
Keywords:Other versions of this item:
- 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.
- 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.
- 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.
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- J33 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Compensation Packages; Payment Methods
References
References listed on IDEASPlease report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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., 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.
- 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.
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- Bengt Holmstrom & Paul R. Milgrom, 1985.
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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.
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Ernst Fehr & Klaus M. Schmidt, .
"Fairness and Incentives in a Multi-Task Principal-Agent Model,"
IEW - Working Papers
191, Institute for Empirical Research in Economics - University of Zurich.
- Ernst Fehr & Klaus M. Schmidt, 2004. "Fairness and Incentives in a Multi-task Principal-Agent Model," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(3), pages 453-474, October.
- Fehr, Ernst & Schmidt, Klaus M., 2004. "Fairness and Incentives in a Multi-Task Principal-Agent Model," Discussion Papers in Economics 335, University of Munich, Department of Economics.
- Fehr, Ernst & Schmidt, Klaus M., 2004. "Fairness and Incentives in a Multi-Task Principle-Agent Model," CEPR Discussion Papers 4464, C.E.P.R. Discussion Papers.
- 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 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.
- 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.
- Armstrong, Christopher S. & Guay, Wayne R. & Weber, Joseph P., 2010. "The role of information and financial reporting in corporate governance and debt contracting," Journal of Accounting and Economics, Elsevier, vol. 50(2-3), pages 179-234, December.
- Drew Fudenberg & David Levine, 2007.
"Continuous Time Limits of Repeated Games with Imperfect Public Monitoring,"
Review of Economic Dynamics,
Elsevier for the Society for Economic Dynamics, vol. 10(2), pages 173-192, April.
- Drew Fudenberg & David K Levine, 2007. "Continuous Time Limits of Repeated Games with Imperfect Public Monitoring," Levine's Working Paper Archive 699152000000000028, David K. Levine.
- Fudenberg, Drew & Levine, David, 2007. "Continuous Time Limits of Repeated Games with Imperfect Public Monitoring," Scholarly Articles 3196334, Harvard University Department of Economics.
- Barlo, Mehmet & Ayca, Ozdogan, 2012. "Team beats collusion," MPRA Paper 37449, University Library of Munich, Germany.
- Coles, Jeffrey & Lemmon, Michael & Meschke, Felix, 2007. "Structural Models and Endogeneity in Corporate Finance: the Link Between Managerial Ownership and Corporate Performance," MPRA Paper 4374, University Library of Munich, Germany, revised 15 Feb 2007.
- Drew Fudenberg & David K Levine, 2007.
"Repeated Games with Frequent Signals,"
Levine's Working Paper Archive
814577000000000009, David K. Levine.
- Fudenberg, Drew & Levine, David, 2009. "Repeated Games with Frequent Signals," Scholarly Articles 3160491, Harvard University Department of Economics.
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