Economic dynamics, uncertainty and fuzzy differential equations
In the economic analysis is used the term dynamics to refer to an analysis whose objective is to trace and study the time trajectories of the variables, as well as determine if these will tend to converge to certain equilibrium values after a while. The introduction of time explicitly in the formul...
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| Formato: | Artículo publishedVersion |
| Lenguaje: | Español |
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Instituto Interdisciplinario de Economía Política (IIEP UBA-CONICET)
2023
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| Acceso en línea: | https://ojs.economicas.uba.ar/DT-IIEP/article/view/2803 https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=dociiep&d=2803_oai |
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I28-R145-2803_oai2025-02-11 Lazzari, Luisa Parma, Andrea 2023-10-09 In the economic analysis is used the term dynamics to refer to an analysis whose objective is to trace and study the time trajectories of the variables, as well as determine if these will tend to converge to certain equilibrium values after a while. The introduction of time explicitly in the formulation of problems can be done as a continuous or discrete variable. Its use will depend on the context in which the situation to be studied is immersed. In this paper the case of continuous time and uncertain environment is considered, so second-order linear differential equations with fuzzy constant coefficients will be used to solve two classic problems of economic dynamics in situations of uncertainty. Vagueness will be represented by triangular fuzzy numbers. Fuzzy sets allow us to understand that everything is a matter of degree, which makes it easier to adjust to reality, to process, not only certain and random data, but also information based on perceptions, sensations and expectations. En el análisis económico se utiliza el término dinámica para referirse a un análisis cuyo objetivo es trazar y estudiar las trayectorias temporales de las variables, como así también determinar si estas tenderán a converger a ciertos valores de equilibrio luego de transcurrido un tiempo. La introducción del tiempo en forma explícita en la formulación de los problemas puede hacerse como una variable continua o discreta. Su empleo dependerá del contexto en el que esté inmersa la situación a estudiar. En este trabajo se considera el caso de tiempo continuo y ambiente incierto, por lo que se emplearán ecuaciones diferenciales lineales de segundo orden con coeficientes constantes borrosos para resolver dos problemas clásicos de la dinámica económica generalizados a situaciones de incertidumbre. La vaguedad estará representada mediante números borrosos triangulares. Los conjuntos borrosos permiten entender que todo es cuestión de grado, lo cual facilita ajustarse a la realidad, para procesar, no solo datos ciertos y aleatorios, sino también información basada en percepciones, sensaciones y expectativas. application/pdf https://ojs.economicas.uba.ar/DT-IIEP/article/view/2803 spa Instituto Interdisciplinario de Economía Política (IIEP UBA-CONICET) https://ojs.economicas.uba.ar/DT-IIEP/article/view/2803/3550 Documentos de trabajo del Instituto Interdisciplinario de Economía Política; Núm. 84 (2023): Dinámica económica, incertidumbre y ecuaciones diferenciales borrosas; 21 Working Papers series at Instituto Interdisciplinario de Economía Política; No. 84 (2023): economic dynamics, uncertainty and fuzzy differential equations; 21 2451-5728 modelos dinámicos ecuaciones diferenciales incertidumbre números borrosos dynamic models differential equations uncertainty fuzzy numbers Economic dynamics, uncertainty and fuzzy differential equations Dinámica económica, incertidumbre y ecuaciones diferenciales borrosa info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=dociiep&d=2803_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
| collection |
Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| language |
Español |
| orig_language_str_mv |
spa |
| topic |
modelos dinámicos ecuaciones diferenciales incertidumbre números borrosos dynamic models differential equations uncertainty fuzzy numbers |
| spellingShingle |
modelos dinámicos ecuaciones diferenciales incertidumbre números borrosos dynamic models differential equations uncertainty fuzzy numbers Lazzari, Luisa Parma, Andrea Economic dynamics, uncertainty and fuzzy differential equations |
| topic_facet |
modelos dinámicos ecuaciones diferenciales incertidumbre números borrosos dynamic models differential equations uncertainty fuzzy numbers |
| description |
In the economic analysis is used the term dynamics to refer to an analysis whose objective is to trace and study the time trajectories of the variables, as well as determine if these will tend to converge to certain equilibrium values after a while.
The introduction of time explicitly in the formulation of problems can be done as a continuous or discrete variable. Its use will depend on the context in which the situation to be studied is immersed.
In this paper the case of continuous time and uncertain environment is considered, so second-order linear differential equations with fuzzy constant coefficients will be used to solve two classic problems of economic dynamics in situations of uncertainty. Vagueness will be represented by triangular fuzzy numbers.
Fuzzy sets allow us to understand that everything is a matter of degree, which makes it easier to adjust to reality, to process, not only certain and random data, but also information based on perceptions, sensations and expectations. |
| format |
Artículo publishedVersion |
| author |
Lazzari, Luisa Parma, Andrea |
| author_facet |
Lazzari, Luisa Parma, Andrea |
| author_sort |
Lazzari, Luisa |
| title |
Economic dynamics, uncertainty and fuzzy differential equations |
| title_short |
Economic dynamics, uncertainty and fuzzy differential equations |
| title_full |
Economic dynamics, uncertainty and fuzzy differential equations |
| title_fullStr |
Economic dynamics, uncertainty and fuzzy differential equations |
| title_full_unstemmed |
Economic dynamics, uncertainty and fuzzy differential equations |
| title_sort |
economic dynamics, uncertainty and fuzzy differential equations |
| publisher |
Instituto Interdisciplinario de Economía Política (IIEP UBA-CONICET) |
| publishDate |
2023 |
| url |
https://ojs.economicas.uba.ar/DT-IIEP/article/view/2803 https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=dociiep&d=2803_oai |
| work_keys_str_mv |
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1825551344461676544 |