大学生の部活動とアルバイトへの優先度に関する経済学的考察 〜Leontief型効用関数〜

This paper analyzes how college students allocate their time between club activities and a part-time job under a Leontief utility function. We construct a model in which a student derives utility from disposable income and time spent on club activities, subject to a budget constraint that links earnings from a part-time job to the cost of club participation. In the basic model without family support, an increase in the hourly wage leads to greater time allocation to club activities, whereas higher participation costs reduce it. We then extend the model to incorporate financial support from the family. When such support is sufficiently small, the comparative static results remain similar to those in the basic model. However, when family support is sufficiently large, the optimal choice shifts to a corner solution, and changes in the wage rate no longer affect time allocation. These results reveal a notable difference from the previous Cobb‒Douglas framework and illustrate how the form of the utility function shapes studentsʼ time allocation behavior.