Skip to main content Accessibility help
×
Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-25T08:01:02.714Z Has data issue: false hasContentIssue false

6 - Control of a linear regression process with unknown parameters

Published online by Cambridge University Press:  03 May 2010

William A. Barnett
Affiliation:
University of Texas, Austin
Halbert White
Affiliation:
University of California, San Diego
Get access

Summary

Introduction

Applications of forms of control theory to economic policy making have been studied by Theil (1958), Chow (1975, 1981), and Prescott (1972). Many of the applications are approximations to the optimal policy – suggestions of how to improve existing practice using quantitative methods rather than development of fully optimal policies. Chow (1975) obtains the fully optimal feedback control policy for linear systems with known coefficients for a quadratic loss function and a finite time horizon. Chow (1981) argues that the use of control technique for the evaluation of economic policies is possible and essential under rational expectations. The use of optimal control for microeconomic planning is fully established. An early analysis with many practical suggestions is Theil (1958). Optimal control theory has also been useful in economic theory, in analyzing the growth of economies as well as the behavior over time of economic agents.

The problem of control of a stochastic economic system with unknown parameters is far less well studied. Zellner (1971, Chapter 11) studied the two–period control problem for a normal regression process with a conjugate prior and quadratic loss function.

Type
Chapter
Information
Dynamic Econometric Modeling
Proceedings of the Third International Symposium in Economic Theory and Econometrics
, pp. 105 - 120
Publisher: Cambridge University Press
Print publication year: 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×