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The First-Best Sharing Rule in the Continuous-Time Principal-Agent Problem with Exponential Utility

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  • Müller, Holger M.

    (Department of Economics, University of Mannheim)

Abstract

The continuous-time principal-agent model with exponential utility developed by Holmström and Milgrom (1987)admits a simple closed-form solution: The second-best sharing rule is a linear function of aggregated output. Here, we show that the first-best sharing rule is also linear in aggregated output. The result follows immediately from the separability of the problem and the fact that principal and agent both have CARA utility.

Suggested Citation

  • Müller, Holger M., 1997. "The First-Best Sharing Rule in the Continuous-Time Principal-Agent Problem with Exponential Utility," Sonderforschungsbereich 504 Publications 97-38, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  • Handle: RePEc:xrs:sfbmaa:97-38
    Note: Financial support from the Deutsche Forschungsgemeinschaft, SFB 504, at the University of Mannheim, is gratefully acknowledged.
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