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arXiv 2008.07335econ.THmath.OC
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经济-流行病动力学非结构模型的检验结果

Verification Results for Age-Structured Models of Economic-Epidemics Dynamics

Giorgio Fabbri, Fausto Gozzi, Giovanni Zanco

摘要:

在本文中,我们提出了一个宏观动态的年龄结构设置的流行病/经济动态分析在连续的时间。由此产生的最优控制问题重新在无限维希尔伯特空间框架中,我们执行动态规划方法的基本步骤。我们的主要结果是一个验证定理,它允许猜测的反馈形式的最优策略。这将是一个出发点,讨论我们介绍的家庭模型的行为及其政策含义。

英文摘要:

In this paper we propose a macro-dynamic age-structured set-up for the analysis of epidemics/economic dynamics in continuous time. The resulting optimal control problem is reformulated in an infinite dimensional Hilbert space framework where we perform the basic steps of dynamic programming approach. Our main result is a verification theorem which allows to guess the feedback form of optimal strategies. This will be a departure point to discuss the behavior of the models of the family we introduce and their policy implications.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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