论文标题

验证经济学生存动态的年龄结构化模型的结果

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

论文作者

Fabbri, Giorgio, Gozzi, Fausto, Zanco, Giovanni

论文摘要

在本文中,我们提出了一种宏观动态的年龄结构化设置,以分析连续时间的流行病/经济动态。由此产生的最佳控制问题在无限的维度希尔伯特太空框架中进行了重新校正,在该框架中,我们执行动态编程方法的基本步骤。我们的主要结果是验证定理,允许猜测最佳策略的反馈形式。这将是讨论我们介绍的家庭模型及其政策含义的行为的出发点。

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.

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