# An Optimal Control Problem Arising in a Generalized Principal-Agent Model with Limited Liability

Abstract : The paper is devoted to the mathematical analysis of an optimal control problem arising in a generalized principal-agent model with limited liability constraint. We present the economic model and the mathematical formulation. Though the problem seems simple'', it presents many difficulties that are hard to overcome. After a formal resolution, we give an existence and uniqueness result for this problem.
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https://hal.archives-ouvertes.fr/hal-00022036
Contributor : Maïtine Bergounioux <>
Submitted on : Friday, March 31, 2006 - 12:03:40 PM
Last modification on : Tuesday, November 19, 2019 - 11:49:24 AM
Long-term archiving on: Saturday, April 3, 2010 - 10:10:09 PM

### Identifiers

• HAL Id : hal-00022036, version 1

### Citation

Maïtine Bergounioux, Sandrine Ollier. An Optimal Control Problem Arising in a Generalized Principal-Agent Model with Limited Liability. 2004. ⟨hal-00022036⟩

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