Titulo:

Reinforcement learning for finance: A review
.

Sumario:

Este artículo ofrece una revisión exhaustiva de la aplicación del aprendizaje por refuerzo (AR) en el dominio de las finanzas, y arroja una luz sobre el innovador progreso alcanzado y los desafíos que se avecinan. Exploramos cómo el AR, un subcampo del aprendizaje automático, ha sido instrumental para resolver problemas financieros complejos al permitir procesos de toma de decisiones que optimizan las recompensas a largo plazo. El AR es una poderosa técnica de aprendizaje automático que se puede utilizar para entrenar a agentes a fin de tomar decisiones en entornos complejos. En finanzas, el AR se ha utilizado para resolver una variedad de problemas, incluyendo la ejecución óptima, la optimización de carteras, la valoración y cobertura de o... Ver más

Guardado en:

1794-1113

2346-2140

2023-11-30

7

24

Diego Ismael León Nieto - 2023

Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial-CompartirIgual 4.0.

info:eu-repo/semantics/openAccess

http://purl.org/coar/access_right/c_abf2

id metarevistapublica_uexternado_revistaodeon_39_article_9072
record_format ojs
spelling Reinforcement learning for finance: A review
Reinforcement learning for finance: A review
Este artículo ofrece una revisión exhaustiva de la aplicación del aprendizaje por refuerzo (AR) en el dominio de las finanzas, y arroja una luz sobre el innovador progreso alcanzado y los desafíos que se avecinan. Exploramos cómo el AR, un subcampo del aprendizaje automático, ha sido instrumental para resolver problemas financieros complejos al permitir procesos de toma de decisiones que optimizan las recompensas a largo plazo. El AR es una poderosa técnica de aprendizaje automático que se puede utilizar para entrenar a agentes a fin de tomar decisiones en entornos complejos. En finanzas, el AR se ha utilizado para resolver una variedad de problemas, incluyendo la ejecución óptima, la optimización de carteras, la valoración y cobertura de opciones, la creación de mercados, el enrutamiento inteligente de órdenes y el robo-asesoramiento. En este artículo revisamos los desarrollos recientes en AR para finanzas. Comenzamos proporcionando una introducción al AR y a los procesos de decisión de Markov (MDP), que es el marco matemático para el AR. Luego discutimos los diversos algoritmos de AR que se han utilizado en finanzas, con un enfoque en métodos basados en valor y políticas. También discutimos el uso de redes neuronales en AR para finanzas. Finalmente, abordamos los resultados de estudios recientes que han utilizado AR para resolver problemas financieros. Concluimos discutiendo los desafíos y las oportunidades para futuras investigaciones en AR para finanzas.
This paper provides a comprehensive review of the application of Reinforcement Learning (RL) in the domain of finance, shedding light on the groundbreaking progress achieved and the challenges that lie ahead. We explore how RL, a subfield of machine learning, has been instrumental in solving complex financial problems by enabling decision-making processes that optimize long-term rewards. Reinforcement learning (RL) is a powerful machine learning technique that can be used to train agents to make decisions in complex environments. In finance, RL has been used to solve a variety of problems, including optimal execution, portfolio optimization, option pricing and hedging, market making, smart order routing, and robo-advising. In this paper, we review the recent developments in RL for finance. We begin by introducing RL and Markov decision processes (MDPs), which is the mathematical framework for RL. We then discuss the various RL algorithms that have been used in finance, with a focus on value-based and policy-based methods. We also discuss the use of neural networks in RL for finance. Finally, we discuss the results of recent studies that have used RL to solve financial problems. We conclude by discussing the challenges and opportunities for future research in RL for finance.
León Nieto, Diego Ismael
Reinforcement learning;
machine learning;
Markov decision process;
finance
aprendizaje por refuerzo;
aprendizaje automático;
procesos de decisión de Markov;
finanzas
24
Núm. 24 , Año 2023 : Enero-Junio
Artículo de revista
Journal article
2023-11-30T09:55:17Z
2023-11-30T09:55:17Z
2023-11-30
application/pdf
text/html
Universidad Externado de Colombia
ODEON
1794-1113
2346-2140
https://revistas.uexternado.edu.co/index.php/odeon/article/view/9072
10.18601/17941113.n24.02
https://doi.org/10.18601/17941113.n24.02
spa
http://creativecommons.org/licenses/by-nc-sa/4.0
Diego Ismael León Nieto - 2023
Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial-CompartirIgual 4.0.
7
24
Andreae, J. H. (1963). STELLA: A scheme for a learning machine. IFAC Proceedings Volumes, 1(2), 497-502. https://doi.org/10.1016/S1474-6670(17)69682-4
Bengio, Y., Courville, A., & Vincent, P. (2013). Representation learning: A review and new perspectives. IEEE Transactions on Pattern Analysis and Machine intelligence, 35(8), 1798-1828. https://doi.org/10.1109/TPAMI.2013.50
Buehler, H., Gonon, L., Teichmann, J., & Wood, B. (2019). Deep hedging. Quantitative Finance, 19(8), 1271-1291. https://doi.org/10.1080/14697688.2019.1571683
Camerer, C. F. (2003). Behavioural studies of strategic thinking in games. Trends in Cognitive Sciences, 7(5), 225-231. https://doi.org/10.1016/S1364-6613(03)00094-9
Cannelli, L., Nuti, G., Sala, M., & Szehr, O. (2020). Hedging using reinforcement learning: Contextual K-armed bandit versus Q-learning. Working paper, arXiv: 2007.01623.
Cao, J., Chen, J., Hull, J., & Poulos, Z. (2021). Deep hedging of derivatives using reinforcement learning. The Journal of Financial Data Science, 3(1), 10–27. https://doi.org/10.3905/jfds.2020.1.052
Duan, Y., Schulman, J., Chen, X., Bartlett, P. L., Sutskever, I., & Abbeel, P. (2016). RL2: Fast reinforcement learning via slow reinforcement learning. Working paper, arXiv:1611.02779.
Errecalde, M. L., Muchut, A., Aguirre, G., & Montoya, C. I. (2000). Aprendizaje por Refuerzo aplicado a la resolución de problemas no triviales. In II Workshop de Investigadores en Ciencias de la Computación.
Ferrucci, D., Brown, E., Chu-Carroll, J., Fan, J., Gondek, D., Kalyanpur, A. A., … & Welty, C. (2010). Building Watson: An Overview of the DeepQA Project. AI Magazine, 31(3), 59-79. https://doi.org/10.1609/aimag.v31i3.2303
Foerster, J., Assael, I. A., De Freitas, N., & Whiteson, S. (2016). Learning to communicate with deep multi-agent reinforcement learning. Advances in Neural Information processing systems, 29, 1-9.
Gosavi, A. (2009). Reinforcement learning: A tutorial survey and recent advances. INFORMS Journal on Computing, 21(2), 178-192. https://doi.org/10.1287/ijoc.1080.0305
Hambly, B., Xu, R., & Yang, H. (2021). Recent advances in reinforcement learning in finance. arXiv preprint arXiv:2112.04553. https://arxiv.org/abs/2112.04553
Halperin, I. (2019). The QLBS Q-learner goes NuQlear: Fitted Q iteration, inverse RL, and option portfolios. Quantitative Finance, 19(9), 1543–1553. https://doi.org/10.1080/14697688.2019.1622302
Halperin, I. (2020). QLBS: Q-learner in the Black-Scholes-Merton world. The Journal of Derivatives, 28(1), 99-122. https://doi.org/10.3905/jod.2020.1.108
Hu, Y. J., & Lin, S. J. (2019). Deep reinforcement learning for optimizing finance portfolio management. In 2019 Amity International Conference on Artificial Intelligence (AICAI) (pp. 14-20). IEEE. https://doi.org/10.1109/AICAI.2019.8701368
Kaelbling, L. P. (1993). Learning in embedded systems. MIT Press.
Kaelbling, L. P., Littman, M. L., & Moore, A. W. (1996). Reinforcement learning: A survey. Journal of Artificial Intelligence Research, 4, 237-285. https://doi.org/10.1613/jair.301
Kapoor, A., Gulli, A., Pal, S., & Chollet, F. (2022). Deep Learning with Tensor Flow and Keras: Build and deploy supervised, unsupervised, deep, and reinforcement learning models. Packt Publishing Ltd.
Kohl, N., & Stone, P. (2004, April). Policy gradient reinforcement learning for fast quadrupedal locomotion. In IEEE International Conference on Robotics and Automation, 2004. https://doi.org/10.1109/ROBOT.2004.1307456
LeCun, Y., Bengio, Y., & Hinton, G. (2015). Deep Learning. Nature, 521(7553), 436- 444. https://doi.org/10.1038/nature14539
Li, Y., Szepesvari, C., & Schuurmans, D. (2009). Learning exercise policies for American options. In Artificial intelligence and statistics (pp. 352–359). PMLR. https://proceedings.mlr.press/v5/li09d.html
Michie, D. & Chambers, R. A. (1968). BOXES: An experiment in adaptive control. In E. Dale & D. Michie (eds.), Machine Intelligence. Oliver and Boyd.
Millea, A., & Edalat, A. (2022). Using deep reinforcement learning with hierarchical risk parity for portfolio optimization. International Journal of Financial Studies, 11(1), 10. https://doi.org/10.3390/ijfs11010010
Minsky, M. L. (1954). Theory of neural-analog reinforcement systems and its application to the brain-model problem. Princeton University.
Nath, S., Liu, V., Chan, A., Li, X., White, A., & White, M. (2020). Training recurrent neural networks online by learning explicit state variables. In International conference on learning representations.
Silver, D., Huang, A., Maddison, C. J., Guez, A., Sifre, L., Van Den Driessche, G., & Hassabis, D. (2016). Mastering the game of Go with deep neural networks and tree search. Nature, 529(7587), 484-489. https://doi.org/10.1038/nature16961
Schlegel, M., Chung, W., Graves, D., Qian, J., & White, M. (2019). Importance resampling for off-policy prediction. Advances in Neural Information Processing Systems, 32.
Sun, Q., & Si, Y. W. (2022). Supervised actor-critic reinforcement learning with action feedback for algorithmic trading. Applied Intelligence, 53, 16875-16892. https://doi.org/10.1007/s10489-022-04322-5
Sutton, R. S. (1990). Integrated architectures for learning, planning, and reacting based on approximating dynamic programming. In Machine learning proceedings 1990 (pp. 216-224). https://doi.org/10.1016/B978-1-55860-141-3.50030-4
Sutton, R. S. (1991). Dyna, an integrated architecture for learning, planning, and reacting. ACM Sigart Bulletin, 2(4), 160-163. https://doi.org/10.1145/122344.122377
Sutton, R. S., & Barto, A. G. (2018). Reinforcement Learning: An introduction. MIT Press.
Tesauro, G. (1995). Temporal difference learning and TD-Gammon. Communications of the ACM, 38(3), 58-68. https://doi.org/10.1145/203330.203343
Théate, T., & Ernst, D. (2021). An application of deep reinforcement learning to algorithmic trading. Expert Systems with Applications, 173, 114632. https://doi.org/10.1016/j.eswa.2021.114632
Thrun, S. B., & Möller, K. (1991). Active exploration in dynamic environments. Advances in neural information processing systems, 4. https://proceedings.neurips.cc/paper/1991/hash/e5f6ad6ce374177eef023bf5d0c018b 6-Abstract.html
Taylor, M. E., & Stone, P. (2009). Transfer learning for reinforcement learning domains: A survey. Journal of Machine Learning Research, 10(7), 1635-1685. https://doi.org/10.5555/1577069.1755839
Thorndike, E. L. (1911). Animal intelligence: Experimental studies. Transaction Publishers.
Torres Cortés, L. J., Velázquez Vadillo, F., & Turner Barragán, E. H. (2017). El principio de optimalidad de Bellman aplicado a la estructura financiera corporativa. Caso Mexicano. Análisis Económico, 32(81), 151-181.
Ziebart, B. D., Maas, A. L., Bagnell, J. A., & Dey, A. K. (2008). Maximum entropy inverse reinforcement learning. In Proceedings of the Twenty-Third AAAI Conference on Artificial Intelligence 2008.
https://revistas.uexternado.edu.co/index.php/odeon/article/download/9072/16479
https://revistas.uexternado.edu.co/index.php/odeon/article/download/9072/16480
info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
http://purl.org/redcol/resource_type/ARTREF
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/version/c_970fb48d4fbd8a85
info:eu-repo/semantics/openAccess
http://purl.org/coar/access_right/c_abf2
Text
Publication
institution UNIVERSIDAD EXTERNADO DE COLOMBIA
thumbnail https://nuevo.metarevistas.org/UNIVERSIDADEXTERNADODECOLOMBIA/logo.png
country_str Colombia
collection Revista ODEON
title Reinforcement learning for finance: A review
spellingShingle Reinforcement learning for finance: A review
León Nieto, Diego Ismael
Reinforcement learning;
machine learning;
Markov decision process;
finance
aprendizaje por refuerzo;
aprendizaje automático;
procesos de decisión de Markov;
finanzas
title_short Reinforcement learning for finance: A review
title_full Reinforcement learning for finance: A review
title_fullStr Reinforcement learning for finance: A review
title_full_unstemmed Reinforcement learning for finance: A review
title_sort reinforcement learning for finance: a review
title_eng Reinforcement learning for finance: A review
description Este artículo ofrece una revisión exhaustiva de la aplicación del aprendizaje por refuerzo (AR) en el dominio de las finanzas, y arroja una luz sobre el innovador progreso alcanzado y los desafíos que se avecinan. Exploramos cómo el AR, un subcampo del aprendizaje automático, ha sido instrumental para resolver problemas financieros complejos al permitir procesos de toma de decisiones que optimizan las recompensas a largo plazo. El AR es una poderosa técnica de aprendizaje automático que se puede utilizar para entrenar a agentes a fin de tomar decisiones en entornos complejos. En finanzas, el AR se ha utilizado para resolver una variedad de problemas, incluyendo la ejecución óptima, la optimización de carteras, la valoración y cobertura de opciones, la creación de mercados, el enrutamiento inteligente de órdenes y el robo-asesoramiento. En este artículo revisamos los desarrollos recientes en AR para finanzas. Comenzamos proporcionando una introducción al AR y a los procesos de decisión de Markov (MDP), que es el marco matemático para el AR. Luego discutimos los diversos algoritmos de AR que se han utilizado en finanzas, con un enfoque en métodos basados en valor y políticas. También discutimos el uso de redes neuronales en AR para finanzas. Finalmente, abordamos los resultados de estudios recientes que han utilizado AR para resolver problemas financieros. Concluimos discutiendo los desafíos y las oportunidades para futuras investigaciones en AR para finanzas.
description_eng This paper provides a comprehensive review of the application of Reinforcement Learning (RL) in the domain of finance, shedding light on the groundbreaking progress achieved and the challenges that lie ahead. We explore how RL, a subfield of machine learning, has been instrumental in solving complex financial problems by enabling decision-making processes that optimize long-term rewards. Reinforcement learning (RL) is a powerful machine learning technique that can be used to train agents to make decisions in complex environments. In finance, RL has been used to solve a variety of problems, including optimal execution, portfolio optimization, option pricing and hedging, market making, smart order routing, and robo-advising. In this paper, we review the recent developments in RL for finance. We begin by introducing RL and Markov decision processes (MDPs), which is the mathematical framework for RL. We then discuss the various RL algorithms that have been used in finance, with a focus on value-based and policy-based methods. We also discuss the use of neural networks in RL for finance. Finally, we discuss the results of recent studies that have used RL to solve financial problems. We conclude by discussing the challenges and opportunities for future research in RL for finance.
author León Nieto, Diego Ismael
author_facet León Nieto, Diego Ismael
topic Reinforcement learning;
machine learning;
Markov decision process;
finance
aprendizaje por refuerzo;
aprendizaje automático;
procesos de decisión de Markov;
finanzas
topic_facet Reinforcement learning;
machine learning;
Markov decision process;
finance
aprendizaje por refuerzo;
aprendizaje automático;
procesos de decisión de Markov;
finanzas
topicspa_str_mv aprendizaje por refuerzo;
aprendizaje automático;
procesos de decisión de Markov;
finanzas
citationissue 24
citationedition Núm. 24 , Año 2023 : Enero-Junio
publisher Universidad Externado de Colombia
ispartofjournal ODEON
source https://revistas.uexternado.edu.co/index.php/odeon/article/view/9072
language spa
format Article
rights http://creativecommons.org/licenses/by-nc-sa/4.0
Diego Ismael León Nieto - 2023
Esta obra está bajo una licencia internacional Creative Commons Atribución-NoComercial-CompartirIgual 4.0.
info:eu-repo/semantics/openAccess
http://purl.org/coar/access_right/c_abf2
references Andreae, J. H. (1963). STELLA: A scheme for a learning machine. IFAC Proceedings Volumes, 1(2), 497-502. https://doi.org/10.1016/S1474-6670(17)69682-4
Bengio, Y., Courville, A., & Vincent, P. (2013). Representation learning: A review and new perspectives. IEEE Transactions on Pattern Analysis and Machine intelligence, 35(8), 1798-1828. https://doi.org/10.1109/TPAMI.2013.50
Buehler, H., Gonon, L., Teichmann, J., & Wood, B. (2019). Deep hedging. Quantitative Finance, 19(8), 1271-1291. https://doi.org/10.1080/14697688.2019.1571683
Camerer, C. F. (2003). Behavioural studies of strategic thinking in games. Trends in Cognitive Sciences, 7(5), 225-231. https://doi.org/10.1016/S1364-6613(03)00094-9
Cannelli, L., Nuti, G., Sala, M., & Szehr, O. (2020). Hedging using reinforcement learning: Contextual K-armed bandit versus Q-learning. Working paper, arXiv: 2007.01623.
Cao, J., Chen, J., Hull, J., & Poulos, Z. (2021). Deep hedging of derivatives using reinforcement learning. The Journal of Financial Data Science, 3(1), 10–27. https://doi.org/10.3905/jfds.2020.1.052
Duan, Y., Schulman, J., Chen, X., Bartlett, P. L., Sutskever, I., & Abbeel, P. (2016). RL2: Fast reinforcement learning via slow reinforcement learning. Working paper, arXiv:1611.02779.
Errecalde, M. L., Muchut, A., Aguirre, G., & Montoya, C. I. (2000). Aprendizaje por Refuerzo aplicado a la resolución de problemas no triviales. In II Workshop de Investigadores en Ciencias de la Computación.
Ferrucci, D., Brown, E., Chu-Carroll, J., Fan, J., Gondek, D., Kalyanpur, A. A., … & Welty, C. (2010). Building Watson: An Overview of the DeepQA Project. AI Magazine, 31(3), 59-79. https://doi.org/10.1609/aimag.v31i3.2303
Foerster, J., Assael, I. A., De Freitas, N., & Whiteson, S. (2016). Learning to communicate with deep multi-agent reinforcement learning. Advances in Neural Information processing systems, 29, 1-9.
Gosavi, A. (2009). Reinforcement learning: A tutorial survey and recent advances. INFORMS Journal on Computing, 21(2), 178-192. https://doi.org/10.1287/ijoc.1080.0305
Hambly, B., Xu, R., & Yang, H. (2021). Recent advances in reinforcement learning in finance. arXiv preprint arXiv:2112.04553. https://arxiv.org/abs/2112.04553
Halperin, I. (2019). The QLBS Q-learner goes NuQlear: Fitted Q iteration, inverse RL, and option portfolios. Quantitative Finance, 19(9), 1543–1553. https://doi.org/10.1080/14697688.2019.1622302
Halperin, I. (2020). QLBS: Q-learner in the Black-Scholes-Merton world. The Journal of Derivatives, 28(1), 99-122. https://doi.org/10.3905/jod.2020.1.108
Hu, Y. J., & Lin, S. J. (2019). Deep reinforcement learning for optimizing finance portfolio management. In 2019 Amity International Conference on Artificial Intelligence (AICAI) (pp. 14-20). IEEE. https://doi.org/10.1109/AICAI.2019.8701368
Kaelbling, L. P. (1993). Learning in embedded systems. MIT Press.
Kaelbling, L. P., Littman, M. L., & Moore, A. W. (1996). Reinforcement learning: A survey. Journal of Artificial Intelligence Research, 4, 237-285. https://doi.org/10.1613/jair.301
Kapoor, A., Gulli, A., Pal, S., & Chollet, F. (2022). Deep Learning with Tensor Flow and Keras: Build and deploy supervised, unsupervised, deep, and reinforcement learning models. Packt Publishing Ltd.
Kohl, N., & Stone, P. (2004, April). Policy gradient reinforcement learning for fast quadrupedal locomotion. In IEEE International Conference on Robotics and Automation, 2004. https://doi.org/10.1109/ROBOT.2004.1307456
LeCun, Y., Bengio, Y., & Hinton, G. (2015). Deep Learning. Nature, 521(7553), 436- 444. https://doi.org/10.1038/nature14539
Li, Y., Szepesvari, C., & Schuurmans, D. (2009). Learning exercise policies for American options. In Artificial intelligence and statistics (pp. 352–359). PMLR. https://proceedings.mlr.press/v5/li09d.html
Michie, D. & Chambers, R. A. (1968). BOXES: An experiment in adaptive control. In E. Dale & D. Michie (eds.), Machine Intelligence. Oliver and Boyd.
Millea, A., & Edalat, A. (2022). Using deep reinforcement learning with hierarchical risk parity for portfolio optimization. International Journal of Financial Studies, 11(1), 10. https://doi.org/10.3390/ijfs11010010
Minsky, M. L. (1954). Theory of neural-analog reinforcement systems and its application to the brain-model problem. Princeton University.
Nath, S., Liu, V., Chan, A., Li, X., White, A., & White, M. (2020). Training recurrent neural networks online by learning explicit state variables. In International conference on learning representations.
Silver, D., Huang, A., Maddison, C. J., Guez, A., Sifre, L., Van Den Driessche, G., & Hassabis, D. (2016). Mastering the game of Go with deep neural networks and tree search. Nature, 529(7587), 484-489. https://doi.org/10.1038/nature16961
Schlegel, M., Chung, W., Graves, D., Qian, J., & White, M. (2019). Importance resampling for off-policy prediction. Advances in Neural Information Processing Systems, 32.
Sun, Q., & Si, Y. W. (2022). Supervised actor-critic reinforcement learning with action feedback for algorithmic trading. Applied Intelligence, 53, 16875-16892. https://doi.org/10.1007/s10489-022-04322-5
Sutton, R. S. (1990). Integrated architectures for learning, planning, and reacting based on approximating dynamic programming. In Machine learning proceedings 1990 (pp. 216-224). https://doi.org/10.1016/B978-1-55860-141-3.50030-4
Sutton, R. S. (1991). Dyna, an integrated architecture for learning, planning, and reacting. ACM Sigart Bulletin, 2(4), 160-163. https://doi.org/10.1145/122344.122377
Sutton, R. S., & Barto, A. G. (2018). Reinforcement Learning: An introduction. MIT Press.
Tesauro, G. (1995). Temporal difference learning and TD-Gammon. Communications of the ACM, 38(3), 58-68. https://doi.org/10.1145/203330.203343
Théate, T., & Ernst, D. (2021). An application of deep reinforcement learning to algorithmic trading. Expert Systems with Applications, 173, 114632. https://doi.org/10.1016/j.eswa.2021.114632
Thrun, S. B., & Möller, K. (1991). Active exploration in dynamic environments. Advances in neural information processing systems, 4. https://proceedings.neurips.cc/paper/1991/hash/e5f6ad6ce374177eef023bf5d0c018b 6-Abstract.html
Taylor, M. E., & Stone, P. (2009). Transfer learning for reinforcement learning domains: A survey. Journal of Machine Learning Research, 10(7), 1635-1685. https://doi.org/10.5555/1577069.1755839
Thorndike, E. L. (1911). Animal intelligence: Experimental studies. Transaction Publishers.
Torres Cortés, L. J., Velázquez Vadillo, F., & Turner Barragán, E. H. (2017). El principio de optimalidad de Bellman aplicado a la estructura financiera corporativa. Caso Mexicano. Análisis Económico, 32(81), 151-181.
Ziebart, B. D., Maas, A. L., Bagnell, J. A., & Dey, A. K. (2008). Maximum entropy inverse reinforcement learning. In Proceedings of the Twenty-Third AAAI Conference on Artificial Intelligence 2008.
type_driver info:eu-repo/semantics/article
type_coar http://purl.org/coar/resource_type/c_6501
type_version info:eu-repo/semantics/publishedVersion
type_coarversion http://purl.org/coar/version/c_970fb48d4fbd8a85
type_content Text
publishDate 2023-11-30
date_accessioned 2023-11-30T09:55:17Z
date_available 2023-11-30T09:55:17Z
url https://revistas.uexternado.edu.co/index.php/odeon/article/view/9072
url_doi https://doi.org/10.18601/17941113.n24.02
issn 1794-1113
eissn 2346-2140
doi 10.18601/17941113.n24.02
citationstartpage 7
citationendpage 24
url2_str_mv https://revistas.uexternado.edu.co/index.php/odeon/article/download/9072/16479
url3_str_mv https://revistas.uexternado.edu.co/index.php/odeon/article/download/9072/16480
_version_ 1811199267315908608