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Décamps, Jean-Paul
and Villeneuve, Stéphane
(2018)
A two-dimensional control problem arising from dynamic contracting theory.
TSE Working Paper, n. 18-884, Toulouse
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Abstract
We study a corporate finance dynamic contracting model in which the firm's growth rate fluctuates and is impacted by the unobservable effort exercised by the manager. We show that the principal's problem takes the form of a two-dimensional Markovian control problem. We prove regularity properties of the value function that are instrumental in the construction of the optimal contract that implements full effort, which we derive explicitly. These regularity results appear in some recent economic studies but with heuristic proofs that do not clarify the importance of the regularity of the value function at the boundaries.
| Item Type: | Monograph (Working Paper) |
|---|---|
| Language: | English |
| Date: | January 2018 |
| Place of Publication: | Toulouse |
| Uncontrolled Keywords: | Principal-agent problem, two-dimensional control problem, regularity properties |
| JEL Classification: | G30 - General |
| Subjects: | B- ECONOMIE ET FINANCE |
| Divisions: | TSE-R (Toulouse), TSM Research (Toulouse) |
| Institution: | Université Toulouse 1 Capitole |
| Site: | UT1 |
| Date Deposited: | 24 Apr 2018 09:15 |
| Last Modified: | 02 Apr 2021 15:57 |
| OAI Identifier: | oai:tse-fr.eu:32397 |
| URI: | https://publications.ut-capitole.fr/id/eprint/25819 |
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