The mathematics behind a continuous time : principal - agent model

The theory of incentives has been one of the major developments in the economic literature in the last forty years. This branch of economics analyzes agency problems that arises when two individuals engage in a risk sharing situation under conditions in which their private knowledge affect the outco...

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Autores:
Franco Tabares, Santiago
Tipo de recurso:
Trabajo de grado de pregrado
Fecha de publicación:
2017
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/61548
Acceso en línea:
http://hdl.handle.net/1992/61548
Palabra clave:
Cálculo de variaciones
Optimización matemática
Teoría del control
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/4.0/
Description
Summary:The theory of incentives has been one of the major developments in the economic literature in the last forty years. This branch of economics analyzes agency problems that arises when two individuals engage in a risk sharing situation under conditions in which their private knowledge affect the outcome. This paper studies the recent development of new methods for analyzing continuous time dynamic models using stochastic calculus. In particular, I analyze the Sannikov (2008) continuous time principal-agent model, in which the output is a diffusion process with drift determined by the agent's unobserved effort. I describe the mathematical framework behind the model, I characterize the optimal contract and provide new insights that the discrete version of the model could not.--Tomado del Formato de Documento de Grado.