Disequilibrium Growth Theory: An Application of the Filippov Solution to Economics

Disequilibrium Growth Theory: An Application of the Filippov Solution to Economics
ISBN-10
1856282503
ISBN-13
9781856282505
Pages
159
Language
English
Published
1993
Publisher
Avebury
Authors
Charles van Marrewijk, Jos Verbeek

Description

Static disequilibrium economic theory fails to analyse the dynamic effects of market disequilibrium, whereas standard growth theory always assumes markets to be in equilibrium. Both shortcomings can be overcome by disequilibrium growth theory. A problem arises, however, because different short term disequilibrium regimes give rise to differential equations. The dynamic analysis, therefore, has to take into consideration the possibility of regime switching. Various solutions have been put forward for this problem, but they generally do not give unique solutions. The method developed by Filippov gives a unique solution that coincides with the classical solution to differential equations in the interior of the regimes. This approach has been used in several papers in the past decade. This book seeks to fill the gap in the literature on what has been achieved so far.