労働市場の情報統計力学：実データに基づくシミュレータ構築による構成論的アプローチ

本研究通过统计力学的方法，结合经济物理学对劳动力市场进行了理论研究，并以机器学习中的无监督学习或自组织为启发，试图对求职“非智力”劳动者在连续求职过程中的集体行为绘制一条“学习曲线”。我们讨论的收敛速度的误差测量，我们考虑的情况下，学生不使用任何信息的结果，在以前的过程中的求职。我们的方法使我们能够检查宏观量的条件的存在，说，“阶段性失业率”成为“规模不变”的意义上，它不依赖于求职阶段。从宏观上看，这一问题可以看作是一个人力资源配置问题，本文给出了一个数学模型来研究学生人力资源配置问题。基本模型由Potts自旋玻璃描述。在该模型中，每一个波茨旋转代表一个学生的行动，它需要一个离散变量对应于他/她申请的公司。我们构建的能量包括对学生行为的不同影响。学生之间的相关性（相邻矩阵）通过成对的自旋-自旋相互作用来考虑。我们进行了计算机模拟，以检查该模型的效率。我们还表明，一些手性表示的波茨自旋使我们能够获得一些分析见解，我们的劳动力市场。

This study provides theoretical studies on labor markets incorporating econophysics through statistical mechanical approaches.Inspired by the unsupervised learning or self-organization in the machine learning context, we attempt to draw a ‘learning curve’ for the collective behavior of job-seeking ‘non-intelligent’ labors in successive job-hunting processes. We discuss the speed of convergence for the error-measurement, where we consider a scenario in which the students do not use any information about the result of job-hunting in a previous process. Our approach enables us to examine the existence of the condition on which macroscopic quantity, say, ‘stage-wise unemployment rate’ becomes ‘scale-invariant’ in the sense that it does not depend on the job-hunting stage. From the macroscopic view point, the problem could be regarded as a human resource allocation.We provide a mathematical model to investigate the human resource allocation problem for students. The basic model is described by the Potts spin glass. In the model, each Potts spin represents the action of one student, and it takes a discrete variable corresponding to the company he/she applies for. We construct the energy to include the distinct effects on students’ behavior. The correlations (the adjacent matrix) between students are taken into account through the pairwise spin-spin interactions. We carry out computer simulations to examine the efficiency of the model. We also show that some chiral representation of the Potts spin enables us to obtain some analytical insights into our labor markets.