<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>In the theory of economics most models describing economic growth make use of differential equations. The examples are Solow's and Haavelmo's models. However, when they are used by econometricians many questions arise. Firstly, economic data are presented in discrete form, which implies the use of difference equations. Secondly, the mode transition from continuous form to the discrete one in order to estimate its parameters is still controversial. It has been observed for some time that standard (classical) discretization methods of differential equations often produce difference equations that do not share their dynamics (for example produce chaotic behavior).</p><p>The essence of above-mentioned problems and proposal of solving them will be presented on the basis of Haavelmo model.</p></abstract>

In the theory of economics most models describing economic growth make use of differential equations. The examples are Solow's and Haavelmo's models. However, when they are used by econometricians many questions arise. Firstly, economic data are presented in discrete form, which implies the use of difference equations. Secondly, the mode transition from continuous form to the discrete one in order to estimate its parameters is still controversial. It has been observed for some time that standard (classical) discretization methods of differential equations often produce difference equations that do not share their dynamics (for example produce chaotic behavior).The essence of above-mentioned problems and proposal of solving them will be presented on the basis of Haavelmo model.

Non-Standard Method of Discretization on the Example of Haavelmo Growth Cycle Model

Department of Econometrics and Statistics, Faculty of Economics and Management, University of Szczecin, Mickiewicza 64, 71-101 Szczecin

Folia Oeconomica Stetinensia

In the theory of economics most models describing economic growth make use of differential equations. The examples are Solow's and Haavelmo's models. However,...

Non-Standard Method of Discretization on the Example of Haavelmo Growth Cycle Model

Online veröffentlicht: 09. März 2009

Seitenbereich: 45 - 55

DOI: https://doi.org/10.2478/v10031-008-0009-8

Schlüsselwörter
Computer simulation, Haavelmo Growth Cycle model, Kahan's discretization method

This content is open access.

Non-Standard Method of Discretization on the Example of Haavelmo Growth Cycle Model

Online veröffentlicht: 09. März 2009

Seitenbereich: 45 - 55

DOI: https://doi.org/10.2478/v10031-008-0009-8

SchlüsselwörterComputer simulation, Haavelmo Growth Cycle model, Kahan's discretization method

This content is open access.

Schlüsselwörter
Computer simulation, Haavelmo Growth Cycle model, Kahan's discretization method