Efficient calculation of all steady states in large-scale overlapping generations models | ||
| Journal of Mathematics and Modeling in Finance | ||
| دوره 3، شماره 1، آذر 2023، صفحه 15-48 اصل مقاله (383.89 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22054/jmmf.2023.71545.1083 | ||
| نویسندگان | ||
| Monireh Riahi1؛ Felix Kuebler2؛ Abdolali Basiri* 1؛ Sajjad Rahmany3 | ||
| 1Department of Mathematics and Computer Sciences, Damghan University, Damghan, Iran | ||
| 2The University of Zurich and Swiss Finance Institute | ||
| 3Department of mathematics and computer sciences, Damghan University, Damghan, Iran | ||
| چکیده | ||
| In this paper, we address the problem of analyzing and computing all steady states of an overlapping generation (OLG) model with production and many generations. The characterization of steady states coincides with a geometrical representation of the algebraic variety of a polynomial ideal, and, in principle, one can apply computational algebraic geometry methods to solve the problem. However, it is infeasible for standard methods to solve problems with a large number of variables and parameters. Instead, we use the specific structure of the economic problem to develop a new algorithm that does not employ the usual steps for the computation of Grobner basis such as the computation of successive S-polynomial and expensive division. | ||
| کلیدواژهها | ||
| OLG Model؛ Equilibria؛ Grobner Bases | ||
| مراجع | ||
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