Discrete-Time Approximations of the Holmström-Milgrom Brownian-Motion Model of Intertemporal Incentive Provision

This paper studies the relation between discrete-time and continuous-time principal-agent models. We derive the continuous-time model as a limit of discrete-time models with ever shorter periods and show that optimal incentive schemes in the discrete-time models approximate the optimal incentive scheme in the continuous model, which is linear in accounts. Under the additional assumption that the principal observes only cumulative total profits at the end and the agent can destroy profits unnoticed, an incentive scheme that is linear in total profits is shown to be approximately optimal in the discrete-time model when the length of the period is small.

MoreLess

Year of publication:	2001-11-29
Authors:	Hellwig, Martin ; Schmidt, Klaus M.
Institutions:	Sonderforschungsbereich 504 "Rationalitätskonzepte, Entscheidungsverhalten und ökonomische Modellierung", Abteilung für Volkswirtschaftslehre ; Sonderforschungsbereich 504, University of Mannheim

Check Google Scholar |

More access options

In German libraries (KVK)

I need help

More details

Series:	Sonderforschungsbereich 504 Publications.
Type of publication:	Book / Working Paper
Notes:	For helpful comments and discussions we are grateful to Darell Duffie, Oliver Hart, Florian Herold, Bengt Holmström, Nobuhiro Kiyotaki, Paul Milgrom, John Moore, Holger Müller, Sven Rady, Jae Sung, three anonymous referees and the editor, Drew Fudenberg. The first author gratefully acknowledges research support from the Schweizerischer Nationalfonds, the Deutsche Forschungsgemeinschaft, and the Taussig Chair at Harvard University. The second author is grateful for research support from the Deutsche Forschungsgemeinschaft through grants SCHM1196/2-1 and /4-1 and for the hospitality enjoyed at the economics department of Stanford University.Financial support from the Deutsche Forschungsgemeinschaft, SFB 504, at the University of Mannheim, is gratefully acknowledged. The text is part of a series sfbmaa Number 01-52 85 pages
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005592850