Efficient calculation of all steady states in large-scale overlapping generations models
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Allameh Tabataba'i University Press
2023-09-01
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| Series: | Mathematics and Modeling in Finance |
| Subjects: | |
| Online Access: | https://jmmf.atu.ac.ir/article_15440_95e83180016977636204a43b84d55dcf.pdf |
| _version_ | 1797386745972523008 |
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| author | Monireh Riahi Felix Kuebler Abdolali Basiri Sajjad Rahmany |
| author_facet | Monireh Riahi Felix Kuebler Abdolali Basiri Sajjad Rahmany |
| author_sort | Monireh Riahi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T22:14:47Z |
| format | Article |
| id | doaj.art-f472c25e9c0546deac1c6b217ee7ae13 |
| institution | Directory Open Access Journal |
| issn | 2783-0578 2783-056X |
| language | English |
| last_indexed | 2024-03-08T22:14:47Z |
| publishDate | 2023-09-01 |
| publisher | Allameh Tabataba'i University Press |
| record_format | Article |
| series | Mathematics and Modeling in Finance |
| spelling | doaj.art-f472c25e9c0546deac1c6b217ee7ae132023-12-19T05:16:31ZengAllameh Tabataba'i University PressMathematics and Modeling in Finance2783-05782783-056X2023-09-0131154810.22054/jmmf.2023.71545.108315440Efficient calculation of all steady states in large-scale overlapping generations modelsMonireh Riahi0Felix Kuebler1Abdolali Basiri2Sajjad Rahmany3Department of Mathematics and Computer Sciences, Damghan University, Damghan, IranThe University of Zurich and Swiss Finance InstituteDepartment of Mathematics and Computer Sciences, Damghan University, Damghan, IranDepartment of mathematics and computer sciences, Damghan University, Damghan, IranIn 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.https://jmmf.atu.ac.ir/article_15440_95e83180016977636204a43b84d55dcf.pdfolg modelequilibriagrobner bases |
| spellingShingle | Monireh Riahi Felix Kuebler Abdolali Basiri Sajjad Rahmany Efficient calculation of all steady states in large-scale overlapping generations models Mathematics and Modeling in Finance olg model equilibria grobner bases |
| title | Efficient calculation of all steady states in large-scale overlapping generations models |
| title_full | Efficient calculation of all steady states in large-scale overlapping generations models |
| title_fullStr | Efficient calculation of all steady states in large-scale overlapping generations models |
| title_full_unstemmed | Efficient calculation of all steady states in large-scale overlapping generations models |
| title_short | Efficient calculation of all steady states in large-scale overlapping generations models |
| title_sort | efficient calculation of all steady states in large scale overlapping generations models |
| topic | olg model equilibria grobner bases |
| url | https://jmmf.atu.ac.ir/article_15440_95e83180016977636204a43b84d55dcf.pdf |
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