A modification of Kaldor-Kalecki model and its analysis

被引:0
作者
Kodera, Jan [1 ]
Radova, Jarmila
Quang Van Tran [1 ]
机构
[1] Univ Econ, Dept Stat & Probabil, Prague 3, Czech Republic
来源
PROCEEDINGS OF 30TH INTERNATIONAL CONFERENCE MATHEMATICAL METHODS IN ECONOMICS, PTS I AND II | 2012年
关键词
Kaldor-Kalecki model; system of non-linear differential equations; investment cycle; limit cycle; complex dynamics; EXISTENCE;
D O I
暂无
中图分类号
F [经济];
学科分类号
02 ;
摘要
This paper studies the investment cycle as an endogenous phenomenon using a modification of so called Kaldor-Kalecki's model as a tool of research. Our aim is to show that the (Kaldor-Kalecki) model which contains such features as non-linearity in the investment function, a delay between an investment decision and its delivery, has an ability to produce more complex behaviour of its variables, i.e. periodical or non-periodical oscillations. As the model is a system of two differential equations with delay which the common solvers are not able to reliably deal with so far, a special solver is developed by authors for this case and will be presented in the article.
引用
收藏
页码:420 / +
页数:2
相关论文
共 15 条
[1]  
[Anonymous], 1956, MATH EC
[2]  
[Anonymous], 2003, Numerical Methods for Delay Differential Equations
[3]  
[Anonymous], 1998, ELEMENTS APPL BIFURC, DOI DOI 10.1007/B98848
[4]   EXISTENCE AND PERSISTENCE OF CYCLES IN A NON-LINEAR MODEL - KALDORS 1940 MODEL RE-EXAMINED [J].
CHANG, WW ;
SMYTH, DJ .
REVIEW OF ECONOMIC STUDIES, 1971, 38 (113) :37-44
[5]  
Gabisch G., 1989, BUSINESS CYCLE THEOR, V2nd
[6]  
Guckenheimer J., 2013, Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
[7]  
Ismail F., ACTA MATH VIETNAMICA, V33, P95
[8]   Global Existence of Periodic Solutions in a Delayed Kaldor-Kalecki Model [J].
Kaddar, A. ;
Alaoui, H. Talibi .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2009, 14 (04) :463-472
[9]   A MODEL OF THE TRADE CYCLE [J].
Kaldor, N. .
ECONOMIC JOURNAL, 1940, 50 (197) :78-92
[10]   A MACRODYNAMIC THEORY OF BUSINESS CYCLES [J].
Kalecki, M. .
ECONOMETRICA, 1935, 3 (03) :327-344