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Randomization in Dynamic Principal-Agent Problems

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Author Info
Müller, Holger M. () (Department of Economics, University of Mannheim)
Abstract

In a seminal paper, Holmström and Milgrom (1987) examine a principal-agent problem in which an agent controls the drift of a Brownian motion. Given that the agent can revise his control continuously, they show that the optimal sharing rule is linear in aggregated output. In this paper, we examine the case where control revisions take place in arbitrarily small discrete time intervals. We show that the first-best outcome can be approached arbitrarily closely by a random spot check in conjunction with a step function. The central message of this paper is therefore that in agency problems of the sort studied by Holmström and Milgrom, linear sharing rules may not always be optimal. Random spot checks are widely used in practice and play an important role in the area of quality control.

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Paper provided by Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim in its series Sonderforschungsbereich 504 Publications with number 97-37.

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Length: 23 pages
Date of creation: 01 Nov 1997
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Handle: RePEc:xrs:sfbmaa:97-37

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  1. 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. [Downloadable!]
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