Cellular Automata in the Economy: Application to the Behavior Theory of the Consumers

Martin Pomares Calero

doi:doi:10.11648/j.eco.20221101.16

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Cellular Automata in the Economy: Application to the Behavior Theory of the Consumers

Martin Pomares Calero

Published in Economics (Volume 11, Issue 1)

Received: 20 January 2022 Accepted: 16 February 2022 Published: 25 February 2022

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Abstract

The application of cellular automata is a technique of modelling complex systems with broad uses into the economy, especially into the approach of game theory. In this research the author pretends to use a model of cellular automata related to a probabilistic model to estimate the entropy in an economical system with the objective of analyze satisfaction or non-satisfaction in the behavior of consumers, and understand how cellular automata allow visualize the dynamical of consumption. The method used in this research was based in the idea to describe the dynamics of consumption considering a cellular automata 2D which represents prices versus goods, and the dynamics of it shows how consumption behaves. For that purpose a Schelling´s model was used including a model of interchange game and Gibbs distribution to understand the trends of entropy of the economic system. There were analyzed four possibilities in the evolution of the system regarding previously the entropy into the evolution of the system. The results reflect preliminary data to regard improvements in the model as a preliminary model in order to consider it as an application of the Econophysics to studies of theory of consume through the utilization of cellular automata class four.

Published in	Economics (Volume 11, Issue 1)
DOI	10.11648/j.eco.20221101.16
Page(s)	43-48
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2022. Published by Science Publishing Group

Keywords

Cellular Automata, Rent, Entropy, Satisfaction, Non-Satisfaction

References

[1]	Pérez López, Andrés (2012). Autómatas Celulares. Development of a SuerCollider3 Class.
[2]	Stephen Wolfram (1984) Cellular automata as models of complexity. Nature volumen 311, pages 419–424.
[3]	Wentian Li and and Norman Packard (1990). The Structure of the Elementary Cellular Automata Rule Space. Complex Systems, 4, 281-297.
[4]	Andrew Wuensche (1998) Classifying cellular automata automatically; finding gliders, filltering, and relating space-time patterns, attractor basins, and the z parameter. Complexity, 4: 47-66.
[5]	C. G. Langton (1986) “Studying artificial life with cellular automata,” Physica D: Nonlinear Phenomena, vol. 22, no. 1–3, pp. 120–149.
[6]	Cliff Hooker, (2011). Handbook of the of Science Philosophy. Volume 10. ELSEVIER.
[7]	Heiko Hamann et al. (2011) Thermodynamics of Emergence: Langton’s Ant Meets Boltzmann. IEEE Symposium on Artificial Life, Paris, France.
[8]	Reyes Gómez, David Alejandro (2011) Descripción y Aplicaciones de los Autómatas Celulares. Departamento de Aplicación de Microcomputadoras. Universidad Autónoma de Puebla (UNAM). México.
[9]	Meagher. K. & Rogers, M. (1997) Networks, Spillovers and Models of Economic Growth.
[10]	Benito, J. M. And Hernandez, P. (2007) Modelling Segregation through Cellular Automata: A Theoretical Answer. Instituo Valenciano de Investigaciones Económicas, S. A.
[11]	Heymann, D., Perazzo, R. y Zimmermann, M. G. (2011) Modelos económicos de múltiples agentes. Una aproximación de la economía desde los sistemas complejos. WORK IN PROGRESS.
[12]	Dragalescu, A. and Yakovenko, V. (2000) Statistical mechanics of money, Eur. Phys. J. B 17, 723{729.
[13]	Dragalescu, A. A. (2003) Applications of physics to economics and finance: Money, income, wealth, and the stock market. e-print arXiv:cond-mat/0307341v2.
[14]	Venkatachalam, Ragupathy and Kumar, Sunil Mitra. 2021. Economic Structures and Dynamics: A Morphogenetic View. Structural Change and Economic Dynamics, ISSN 0954-349X [Article] (In Press).
[15]	Dagmar Haase and Nina Schwarz (2009). Simulation Models on Human–Nature Interactions in Urban Landscapes: A Review Including Spatial Economics, System Dynamics, Cellular Automata and Agent-based Approaches. Living Reviews in Landscape Research ISSN 1863-7329.
[16]	Maria Plotnikova and Chokri Dridi (2010) A CELLULAR AUTOMATA SIMULATION OF THE 1990s RUSSIAN HOUSING PRIVATIZATION DECISION.
[17]	Arne Eide (2012) A bioeconomic MPA study based on cellular automata population growth and Distribution. Fisheries Research 113: 118–132.

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Martin Pomares Calero. (2022). Cellular Automata in the Economy: Application to the Behavior Theory of the Consumers. Economics, 11(1), 43-48. https://doi.org/10.11648/j.eco.20221101.16

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Martin Pomares Calero. Cellular Automata in the Economy: Application to the Behavior Theory of the Consumers. Economics. 2022, 11(1), 43-48. doi: 10.11648/j.eco.20221101.16

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AMA Style

Martin Pomares Calero. Cellular Automata in the Economy: Application to the Behavior Theory of the Consumers. Economics. 2022;11(1):43-48. doi: 10.11648/j.eco.20221101.16

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@article{10.11648/j.eco.20221101.16,
  author = {Martin Pomares Calero},
  title = {Cellular Automata in the Economy: Application to the Behavior Theory of the Consumers},
  journal = {Economics},
  volume = {11},
  number = {1},
  pages = {43-48},
  doi = {10.11648/j.eco.20221101.16},
  url = {https://doi.org/10.11648/j.eco.20221101.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.eco.20221101.16},
  abstract = {The application of cellular automata is a technique of modelling complex systems with broad uses into the economy, especially into the approach of game theory. In this research the author pretends to use a model of cellular automata related to a probabilistic model to estimate the entropy in an economical system with the objective of analyze satisfaction or non-satisfaction in the behavior of consumers, and understand how cellular automata allow visualize the dynamical of consumption. The method used in this research was based in the idea to describe the dynamics of consumption considering a cellular automata 2D which represents prices versus goods, and the dynamics of it shows how consumption behaves. For that purpose a Schelling´s model was used including a model of interchange game and Gibbs distribution to understand the trends of entropy of the economic system. There were analyzed four possibilities in the evolution of the system regarding previously the entropy into the evolution of the system. The results reflect preliminary data to regard improvements in the model as a preliminary model in order to consider it as an application of the Econophysics to studies of theory of consume through the utilization of cellular automata class four.},
 year = {2022}
}

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TY  - JOUR
T1  - Cellular Automata in the Economy: Application to the Behavior Theory of the Consumers
AU  - Martin Pomares Calero
Y1  - 2022/02/25
PY  - 2022
N1  - https://doi.org/10.11648/j.eco.20221101.16
DO  - 10.11648/j.eco.20221101.16
T2  - Economics
JF  - Economics
JO  - Economics
SP  - 43
EP  - 48
PB  - Science Publishing Group
SN  - 2376-6603
UR  - https://doi.org/10.11648/j.eco.20221101.16
AB  - The application of cellular automata is a technique of modelling complex systems with broad uses into the economy, especially into the approach of game theory. In this research the author pretends to use a model of cellular automata related to a probabilistic model to estimate the entropy in an economical system with the objective of analyze satisfaction or non-satisfaction in the behavior of consumers, and understand how cellular automata allow visualize the dynamical of consumption. The method used in this research was based in the idea to describe the dynamics of consumption considering a cellular automata 2D which represents prices versus goods, and the dynamics of it shows how consumption behaves. For that purpose a Schelling´s model was used including a model of interchange game and Gibbs distribution to understand the trends of entropy of the economic system. There were analyzed four possibilities in the evolution of the system regarding previously the entropy into the evolution of the system. The results reflect preliminary data to regard improvements in the model as a preliminary model in order to consider it as an application of the Econophysics to studies of theory of consume through the utilization of cellular automata class four.
VL  - 11
IS  - 1
ER  -

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Author Information

Martin Pomares Calero

Physics Department, Science and Engineering Faculty, National Autonomous University of Nicaragua (UNAN), Managua, Nicaragua

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APA Style

Martin Pomares Calero. (2022). Cellular Automata in the Economy: Application to the Behavior Theory of the Consumers. Economics, 11(1), 43-48. https://doi.org/10.11648/j.eco.20221101.16

Copy | Download

ACS Style

Martin Pomares Calero. Cellular Automata in the Economy: Application to the Behavior Theory of the Consumers. Economics. 2022, 11(1), 43-48. doi: 10.11648/j.eco.20221101.16

Copy | Download

AMA Style

Martin Pomares Calero. Cellular Automata in the Economy: Application to the Behavior Theory of the Consumers. Economics. 2022;11(1):43-48. doi: 10.11648/j.eco.20221101.16

Copy | Download

@article{10.11648/j.eco.20221101.16,
  author = {Martin Pomares Calero},
  title = {Cellular Automata in the Economy: Application to the Behavior Theory of the Consumers},
  journal = {Economics},
  volume = {11},
  number = {1},
  pages = {43-48},
  doi = {10.11648/j.eco.20221101.16},
  url = {https://doi.org/10.11648/j.eco.20221101.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.eco.20221101.16},
  abstract = {The application of cellular automata is a technique of modelling complex systems with broad uses into the economy, especially into the approach of game theory. In this research the author pretends to use a model of cellular automata related to a probabilistic model to estimate the entropy in an economical system with the objective of analyze satisfaction or non-satisfaction in the behavior of consumers, and understand how cellular automata allow visualize the dynamical of consumption. The method used in this research was based in the idea to describe the dynamics of consumption considering a cellular automata 2D which represents prices versus goods, and the dynamics of it shows how consumption behaves. For that purpose a Schelling´s model was used including a model of interchange game and Gibbs distribution to understand the trends of entropy of the economic system. There were analyzed four possibilities in the evolution of the system regarding previously the entropy into the evolution of the system. The results reflect preliminary data to regard improvements in the model as a preliminary model in order to consider it as an application of the Econophysics to studies of theory of consume through the utilization of cellular automata class four.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - Cellular Automata in the Economy: Application to the Behavior Theory of the Consumers
AU  - Martin Pomares Calero
Y1  - 2022/02/25
PY  - 2022
N1  - https://doi.org/10.11648/j.eco.20221101.16
DO  - 10.11648/j.eco.20221101.16
T2  - Economics
JF  - Economics
JO  - Economics
SP  - 43
EP  - 48
PB  - Science Publishing Group
SN  - 2376-6603
UR  - https://doi.org/10.11648/j.eco.20221101.16
AB  - The application of cellular automata is a technique of modelling complex systems with broad uses into the economy, especially into the approach of game theory. In this research the author pretends to use a model of cellular automata related to a probabilistic model to estimate the entropy in an economical system with the objective of analyze satisfaction or non-satisfaction in the behavior of consumers, and understand how cellular automata allow visualize the dynamical of consumption. The method used in this research was based in the idea to describe the dynamics of consumption considering a cellular automata 2D which represents prices versus goods, and the dynamics of it shows how consumption behaves. For that purpose a Schelling´s model was used including a model of interchange game and Gibbs distribution to understand the trends of entropy of the economic system. There were analyzed four possibilities in the evolution of the system regarding previously the entropy into the evolution of the system. The results reflect preliminary data to regard improvements in the model as a preliminary model in order to consider it as an application of the Econophysics to studies of theory of consume through the utilization of cellular automata class four.
VL  - 11
IS  - 1
ER  -

Copy | Download