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Identification of the Household Behavior Modeling Based on Modified Ramsey Model

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Abstract

Based on a modified Ramsey model we present the consumer behavior of the households. The impact of the large amount of the households allows us to consider their behavior in terms of the density function distribution. This leads to a Kolmogorov–Fokker–Planck equation, evolving forward in time that describes the evolution of the households density function. We introduce the identification approach to reproduce the statistic density data based on the Russian Federation Household Budget Survey.

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ACKNOWLEDGMENTS

The author would like to express his sincere gratitude to scientific leader, academician of the Russian Academy of Sciences, Doctor of Physical and Mathematical sciences, A.A. Shananin for the guidance and help with Ramsey-type models and the study of the group behavior agents.

Funding

The work has been supported by RSF (grant no. 23-21-00281).

Author information

Authors and Affiliations

  1. Federal Research Center ‘‘Computer Science and Control’’ of Russian Academy of Sciences, 119333, Moscow, Russia

    N. V. Trusov

  2. Moscow Center of Fundamental and Applied Mathematics, 119991, Moscow, Russia

    N. V. Trusov

Authors
  1. N. V. Trusov
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Corresponding author

Correspondence to N. V. Trusov.

Additional information

(Submitted by A. A. Shananin)

Appendices

Appendix A

MODEL PARAMETERS

Table 1 The table represents the parameters of low income and high income households
Full size table

Appendix B

DEVIATION OF THE KOLMOGOROV–FOKKER–PLANCK EQUATION

Table 2 The table represents the average deviation of the solution of the Kolmogorov–Fokker–Planck equation comparing to the statistical data
Full size table

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Trusov, N.V. Identification of the Household Behavior Modeling Based on Modified Ramsey Model. Lobachevskii J Math 44, 455–469 (2023). https://doi.org/10.1134/S1995080223010420

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  • DOI: https://doi.org/10.1134/S1995080223010420

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