This paper accounts simply for the link between higher education and the productive economy through educated workers. We study a model of vertical successive monopolies where students/workers acquire qualification from a University then “sell” skilled labor to a monopoly which itself sells its final product to consumers, linking through quality the education sector to the labor and output markets. We determine the optimal share the State should keep in the University to compensate for the market imperfections, while taking into account the inefficiencies of public management. The resulting partially privatized University fixes the tuition fees so as to maximize a weighted sum of profits and social welfare. We derive the optimal public share under the hypothesis that the State may subsidize the tuition fees/University losses, then under the constraint that the University should make a nonnegative profit. We prove that in both cases, the State should keep a substantial share (higher under the first hypothesis) in the University, unless public management is too inefficient in which case the University's management should be completely private.

中文翻译：

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大学部分私有化是高等教育的解决方案吗？

本文仅通过受过教育的工人解释了高等教育与生产性经济之间的联系。我们研究了一个纵向连续垄断的模型，学生/工人从大学获得资格，然后将熟练劳动力“出售”给垄断企业，后者本身将最终产品出售给消费者，通过质量将教育部门与劳动力和产出市场联系起来。我们确定国家应该在大学中保留的最佳份额，以弥补市场的不完善，同时考虑到公共管理的低效率。由此产生的部分私有化的大学确定了学费，以使利润和社会福利的加权总和最大化。我们在国家可能补贴学费/大学损失的假设下推导出最优公共份额，然后在大学应该获得非负利润的约束下。我们证明，在这两种情况下，国家应该在大学中保持相当大的份额（在第一个假设下更高），除非公共管理效率太低，在这种情况下，大学的管理应该完全私有。