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Discrete-Time Approximations of the Holmström-Milgrom Brownian-Motion Model of Intertemporal Incentive Provision

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Author Info
Hellwig, Martin F.
Schmidt, Klaus M.

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Abstract

This paper studies the relation between discrete-time and continuoustime principal-agent models. We derive the continuous-time model as a limit of discretetime 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.

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Paper provided by University of Munich, Department of Economics in its series Discussion Papers in Economics with number 22.

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Date of creation: Jul 2001
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Handle: RePEc:lmu:muenec:22

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Related research
Keywords: Principal-agent problems ; linear incentive schemes ; intertemporal incentive provision ; Brownian motion;

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
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J33 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Compensation Packages; Payment Methods

References listed on IDEAS
Please 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.:

  1. 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.
  2. Mirrlees, J A, 1999. "The Theory of Moral Hazard and Unobservable Behaviour: Part I," Review of Economic Studies, Blackwell Publishing, vol. 66(1), pages 3-21, January. [Downloadable!] (restricted)
  3. Müller, Holger M., 1997. "Randomization in Dynamic Principal-Agent Problems," Sonderforschungsbereich 504 Publications 97-37, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
  4. Bengt Holmstrom & Paul R. Milgrom, 1985. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Cowles Foundation Discussion Papers 742, Cowles Foundation, Yale University. [Downloadable!]
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  5. 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. [Downloadable!] (restricted)
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  6. Grossman, Sanford J & Hart, Oliver D, 1983. "An Analysis of the Principal-Agent Problem," Econometrica, Econometric Society, vol. 51(1), pages 7-45, January. [Downloadable!] (restricted)
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  7. Hellwig, Martin F., 1996. "Sequential decisions under uncertainty and the maximum theorem," Journal of Mathematical Economics, Elsevier, vol. 25(4), pages 443-464. [Downloadable!] (restricted)
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Cited by:
(explanations, Please 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.)

  1. Ernst Fehr & Klaus M. Schmidt, . "Fairness and Incentives in a Multi-Task Principal-Agent Model," IEW - Working Papers iewwp191, Institute for Empirical Research in Economics - IEW. [Downloadable!]
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  2. Englmaier, Florian & Wambach, Achim, 2002. "Contracts and Inequity Aversion," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
  3. 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. [Downloadable!]
  4. 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. [Downloadable!]
    Other versions:
  5. 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. [Downloadable!]
    Other versions:
  6. Drew Fudenberg & David K Levine, 2007. "Repeated Games with Frequent Signals," Levine's Working Paper Archive 814577000000000009, David K. Levine. [Downloadable!]
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