Economic Models with Discrete Time. State of Equilibrium (original) (raw)
On the structure and the qualitative behavior of an economic model
Advances in Difference Equations, 2013
In this paper, we build an economic model of a non-linear system of difference equations and present a qualitative study for the obtained model, where a mathematical model of a bounded rationality multiple game with an exponential demand function will be introduced, and then we obtain the equilibrium points of the model and classify if they are locally stable or not. Also, we investigate the boundedness and global convergence of solutions for the obtained system.
Brazilian Journal of Development, 2021
Objectives are detection indicators: intermittent production + relevance across systems; modeling and dynamics between economic values in a production system [agricultural + livestock + wood]. The penalty is aimed at reducing the small effects to zero, while maintaining the real effects. Comparing the economic part and production the amount of animal production and the multi-nominal distribution as the matrix is divided by the concentration of efficiency and performance, ie the best and they offer additional advantages such as readily available safe estimates, estimating the flexible and parametric penalty in terms that will be considered. Selection was calculated as the superaccumulated sum of production to the break-even point-using selection mechanism for an equilibrium economic system. The results were for ILPF, agricultural and cattle showing that there was a statistical difference between the ILPF system among the others, obtaining an accumulation for gross margin with land and offering a supernormal profit in the other systems present.
Business and Economic Horizons
A discrete dynamic model (DDM) is used to describe the pace of the world GDP annual change rate. The Mandelbrot set of DDM was constructed for different time intervals to assess the ability of the world economic system to maintain a steady pace of development. The article shows that the world economic system is in a fundamentally non-equilibrium state. The Mandelbrot set was proposed to use as a generalized image ("pictogram") of the world economy's ability to maintain sustained development rates.
Stabilization of company’s income modeled by a system of discrete stochastic equations
Advances in Difference Equations, 2014
The paper deals with a system of difference equations where the coefficients depend on Markov chains. The functional equations for a particular density and the moment equations for the system are derived and used in the investigation of mode stability of company’s income. An application of the results is illustrated by two models.
Mathematical models in economics
Methods and Modelling
The purpose of this chapter is to introduce the theme, Mathematical Models in Economics and explain the arrangement of the topic chapters of the theme. The topic chapters are classified according to economic issues. Since the literature on the theme is vast, this chapter is concentrated on modern versions of some classical economic theories, taking account of balancing between significance of economic issues and mathematical techniques.
Steady state properties of multi‐state economic models
Canadian Journal of Economics, 2017
A simple method to derive optimal steady states of multi-state dynamic economic systems with minimal assumptions on the underlying processes is developed. This is accomplished by an n-dimensional function defined over the n-dimensional state space in terms of the model's primitives. The location and stability properties of optimal steady state candidates are characterized by the roots and derivatives of this function. A resource management example illustrates the simplicity and applicability of the method. Résumé. Les propriétés des modèles économiques multi-états en régime permanent. On développe une méthode simple pour dériver un régime permanent optimal de systèmes économiques dynamiques multi-états à l'aide d'un minimum de postulats. Cela est accompli en définissant une fonction à n-dimensions sur un espace n-dimensionnel en termes des fondements primitifs du modèle. Les propriétés de localisation et de stabilité des candidats au r ôle de régime permanent sont caractérisées par les racines et les dérivées de cette fonction. Un exemple de gestion des ressources illustre la simplicité et l'applicabilité de la méthode.
Numerical method for computing equilibria in economic system models with labor force
AIP Conference Proceedings, 2019
There are number of researches on mathematic and economic employments as well as on the management methods of economic systems and processes. This article is devoted to the management methods of the economic system known as the labour market, the labour market attributes that should be followed for some labour resource management are defined.
Economic Growth' constructed model to study the process of equilibrium um
MEADE MODEL OF 3. Complete Laissez-faire is assumed to prevail in the economy L.e. the economy is working under the conditions of constant returns to seale, 4. The economy is producing in consumption goods and capital goods. The consumption goods satisty all the human needs of consumption and the capital goods are used to produce capital goods. two types of commodities- 5. Machnes are the only form in which the capital is assumed. 6. The factors of production, land and labour are assumed to be in a state of full employment. 7. The money price of consumption goods is considered to be constant. 8. There are no State or Governmental economic activities involving taxation or state expenditure. 9. The production function can be substituted for one another. In a state of technical knowledge, it is possible to produce the consumption goods or capital goods by a more labour intensive method or a more land intensive method or by a more machinery ntensive method, depending upon the availability of cheap labour.
Mathematical Modelling in Economics
1993
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