Modelo espaço-temporal para a dinâmica da distribuição de renda

Abstract

The way as resources are distributed in a society or in a market plays a fundamental role for economic agents, historically the earliest investigations of this theme emerged in the late eighteenth century. One of the main objectives of country income distribution investigation is to determine the social inequalities implied in a given economic model and the direct and indirect e ects of inequality on the society. Usually the inequality in resources distribution P(m) is quanti ed by the Gini index, this parameter in the range 0 0 ≤ G ≤ 1 assumes G = 0 for isonomic distribution and G = 1 for maximum the concentration. In this we present a generalization of the Heterogeneous Adaptive model, in order to incorporate two main ingredients. The rst consists the spatial structure that describes the dynamics between the agents, establishing local interaction dynamics and the second the spatial distribution of mobility µ that determines the adaptability of the rate of agent consumption Ɯ. As a result, the space of parameters [G , Ɯ] produced by the model is compatible with that observed in real data, extracted from World Bank, and income has a decreasing radial behavior around the higher income agent as opposed to the behavior of the rate consumption also corresponds to the pattern observed empirically.