A Continuous-Time Version of the Principal-Agent
Yuliy Sannikov ()
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Yuliy Sannikov: Department of Economics University of California, Berkeley
No 188, Computing in Economics and Finance 2005 from Society for Computational Economics
Abstract:
This paper describes a new continuous-time principal-agent model, in which the output is a diffusion process with drift determined by the agent’s unobserved effort. The risk-averse agent receives consumption continuously. An optimal contract, based on the agent’s continuation value as a state variable, is computed by a new method using a differential equation. During employment the output path stochastically drives the agent’s continuation value until it hits a low retirement point or a high retirement point. Unlike in related discrete-time models, one can use calculus to derive comparative statics and evaluate inefficiency
Keywords: Principal-agent model; hidden action; optimal contract; Brownian motion (search for similar items in EconPapers)
JEL-codes: C63 D82 E2 (search for similar items in EconPapers)
Date: 2005-11-11
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