摘要翻译:
在本文中,我们提出了一个宏观动态的年龄结构的设置,用于分析流行病/经济动态在连续时间。在无限维Hilbert空间框架中,我们将得到的最优控制问题重新表述,在此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,它允许猜测最优策略的反馈形式。这将是讨论我们所介绍的家庭模式的行为及其政策含义的出发点。
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英文标题:
《Verification Results for Age-Structured Models of Economic-Epidemics
Dynamics》
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作者:
Giorgio Fabbri, Fausto Gozzi, Giovanni Zanco
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最新提交年份:
2020
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分类信息:
一级分类:Economics 经济学
二级分类:Theoretical Economics 理论经济学
分类描述:Includes theoretical contributions to Contract Theory, Decision Theory, Game Theory, General Equilibrium, Growth, Learning and Evolution, Macroeconomics, Market and Mechanism Design, and Social Choice.
包括对契约理论、决策理论、博弈论、一般均衡、增长、学习与进化、宏观经济学、市场与机制设计、社会选择的理论贡献。
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一级分类:Mathematics 数学
二级分类:Optimization and Control 优化与控制
分类描述:Operations research, linear programming, control theory, systems theory, optimal control, game theory
运筹学,线性规划,控制论,系统论,最优控制,博弈论
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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.
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PDF链接:
https://arxiv.org/pdf/2008.07335