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.

Mathematical modeling dynamics and economic for different systems / Dinâmica de modelagem matemática e econômica para sistemas diferentes

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.

Application of discrete dynamic model for the assessment of stability of the world economy development

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.

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.

Mathematical Modelling in Economics

1993

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New Insight of Discrete-Time Food Chain Interaction Model

The discrete-time food chain interaction model is proposed. Steady state implies all possible equilibrium points. Stability conditions of arising equilibrium points are analyzed with numerical examples. Further, the dynamical behavior of the coexistence equilibrium point is obtained.

6 on the Equilibrium in a Discrete-Time Lucas Model

2014

In this paper I study a discrete-time version of the Lucas model with the endogenous leisure but without physical capital. Under standard conditions I prove that the optimal human capital sequence is increasing. If the instantaneous utility function and the production function are Cobb-Douglas, I prove that the human capital sequence grow at a constant rate. I finish by studying the existence and the unicity of the equilibrium in the sense of Lucas or Romer.