September  2021, 17(5): 2573-2578. doi: 10.3934/jimo.2020083

Application of survival theory in taxation

1. 

Ulaanbaatar State University, Ulaanbaatar, Mongolia

2. 

National University of Mongolia, Ulaanbaatar, Mongolia

* Corresponding author: Enkhbat Rentsen

Received  September 2019 Revised  January 2020 Published  September 2021 Early access  April 2020

Fund Project: The second author is supported by NUM grant P2019-3751

The paper deals with the application of the survival theory in economic systems. Theory and methodology of survival is used to evaluate fiscal policy. The survival of the system reduces to a problem of maximizing a radius of a cube inscribed into a polyhedral set so-called the target-oriented purpose [1-5]. We show that the survival theory can be applied to the government fiscal policy optimizing a taxation system. Numerical simulations were conducted using Mongolian statistical data for 2015.

Citation: Badam Ulemj, Enkhbat Rentsen, Batchimeg Tsendpurev. Application of survival theory in taxation. Journal of Industrial and Management Optimization, 2021, 17 (5) : 2573-2578. doi: 10.3934/jimo.2020083
References:
[1]

L. T. Aščepkov, On the construction of the maximum cube inscribed in a given domain, Zh. Vychisl. Mat. i Mat. Fiz., 20 (1980), 510-513. 

[2]

L. T. Aščepkov and U. Badam, Models and methods of survival theory for controlled system, Vladivostok DalNauka, (2006).

[3]

U. Badam, A simple model of improving survival in economical systems, in Optimization and Optimal Control, Ser. Comput. Oper. Res., 1, World Sci. Publ., River Edge, NJ, 2003,287–295.

[4]

U. Badam, Necessary optimality conditions in survival problems, Izv. Vyssh. Uchebn. Zaved. Mat., 2002 (2002), 18-22. 

[5]

U. Badam, Models and problems of survival theory for linear discrete system, Intellect Control, (2002), 35–50.

[6]

R. Enkhbat, Global optimization approach to Malfatti's problem, J. Global Optim., 65 (2016), 33-39.  doi: 10.1007/s10898-015-0372-6.

[7]

R. EnkhbatM. V. Barkova and A. S. Strekalovsky, Solving Malfatti's high dimensional problem by global optimization, Numer. Algebra Control Optim., 6 (2016), 153-160.  doi: 10.3934/naco.2016005.

[8] L. Ljungvist and T. J. Sargent, Recursive Macroeconomic Theory, The MIT Press, 2000. 
[9]

C. Malfatti, Memoria Sopra una Problema Stereotomico, Memoria di Matematica e di Fisica della Societa italiana della Scienze, 10 (1803), 235-244. 

show all references

References:
[1]

L. T. Aščepkov, On the construction of the maximum cube inscribed in a given domain, Zh. Vychisl. Mat. i Mat. Fiz., 20 (1980), 510-513. 

[2]

L. T. Aščepkov and U. Badam, Models and methods of survival theory for controlled system, Vladivostok DalNauka, (2006).

[3]

U. Badam, A simple model of improving survival in economical systems, in Optimization and Optimal Control, Ser. Comput. Oper. Res., 1, World Sci. Publ., River Edge, NJ, 2003,287–295.

[4]

U. Badam, Necessary optimality conditions in survival problems, Izv. Vyssh. Uchebn. Zaved. Mat., 2002 (2002), 18-22. 

[5]

U. Badam, Models and problems of survival theory for linear discrete system, Intellect Control, (2002), 35–50.

[6]

R. Enkhbat, Global optimization approach to Malfatti's problem, J. Global Optim., 65 (2016), 33-39.  doi: 10.1007/s10898-015-0372-6.

[7]

R. EnkhbatM. V. Barkova and A. S. Strekalovsky, Solving Malfatti's high dimensional problem by global optimization, Numer. Algebra Control Optim., 6 (2016), 153-160.  doi: 10.3934/naco.2016005.

[8] L. Ljungvist and T. J. Sargent, Recursive Macroeconomic Theory, The MIT Press, 2000. 
[9]

C. Malfatti, Memoria Sopra una Problema Stereotomico, Memoria di Matematica e di Fisica della Societa italiana della Scienze, 10 (1803), 235-244. 

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