A Mathematical Model for the Dynamics of Income Distribution in the Presence of Production

IF 1.7 4区 工程技术 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Complexity Pub Date : 2024-03-21 DOI:10.1155/2024/3190620
Maria Letizia Bertotti
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Abstract

In this paper, a mathematical model is formulated, suitable to explain the evolution of income distribution over a population in the presence of production. The model is conceived from the perspective of complexity. Indeed, the income distribution emerges as the result of a myriad of economic exchanges taking place between individuals. In fact, the aim of the paper is to provide a framework and mathematical tools for the construction and the investigation of models having an exploratory character. The framework is expressed in the form of a system of nonlinear ordinary differential equations, as many as the income classes are, involving transition probabilities. Numerical solutions of these systems are constructed under different assumptions on the law of production and in the presence of different fiscal systems, which provides an example of the versatility of the method.

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有生产的收入分配动态数学模型
本文提出了一个数学模型,适用于解释在有生产的情况下人口收入分配的演变。该模型从复杂性的角度进行构思。事实上,收入分配是个人之间无数经济交换的结果。事实上,本文的目的是为构建和研究具有探索性质的模型提供一个框架和数学工具。该框架以非线性常微分方程系统的形式表达,收入等级越多,涉及的过渡概率就越大。这些系统的数值解是在不同的生产规律假设和不同的财政制度下构建的,这为该方法的多功能性提供了一个范例。
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来源期刊
Complexity
Complexity 综合性期刊-数学跨学科应用
CiteScore
5.80
自引率
4.30%
发文量
595
审稿时长
>12 weeks
期刊介绍: Complexity is a cross-disciplinary journal focusing on the rapidly expanding science of complex adaptive systems. The purpose of the journal is to advance the science of complexity. Articles may deal with such methodological themes as chaos, genetic algorithms, cellular automata, neural networks, and evolutionary game theory. Papers treating applications in any area of natural science or human endeavor are welcome, and especially encouraged are papers integrating conceptual themes and applications that cross traditional disciplinary boundaries. Complexity is not meant to serve as a forum for speculation and vague analogies between words like “chaos,” “self-organization,” and “emergence” that are often used in completely different ways in science and in daily life.
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