The complex interactions between human behaviors and social economic sciences is critically analyzed in this paper in view of possible applications of mathematical modeling as an attainable interdisciplinary approach to understand and simulate the aforementioned dynamics. The quest is developed along three steps: Firstly an overall analysis of social and economic sciences indicates the main requirements that a contribution of mathematical modeling should bring to these sciences; subsequently the focus moves to an overview of mathematical tools and to the selection of those which appear, according to the authors bias, appropriate to the modeling; finally, a survey of applications is presented looking ahead to research perspectives.

鉴于数学建模作为一种可理解的跨学科方法，可以用来理解和模拟上述动力学，本文对人类行为与社会经济科学之间的复杂相互作用进行了批判性分析。这项研究分三个步骤进行：首先，对社会科学和经济科学进行全面分析，指出数学建模应为这些科学带来的主要要求；随后，根据作者的偏见，重点转移到数学工具的概述和出现的工具的选择上；最后，对应用程序进行了调查，展望了研究前景。