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

Author

Listed:
  • Giorgio Fabbri
  • Fausto Gozzi
  • Giovanni Zanco

Abstract

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.

Suggested Citation

  • Giorgio Fabbri & Fausto Gozzi & Giovanni Zanco, 2020. "Verification Results for Age-Structured Models of Economic-Epidemics Dynamics," Papers 2008.07335, arXiv.org.
  • Handle: RePEc:arx:papers:2008.07335
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    References listed on IDEAS

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    1. Dirk Krueger & Harald Uhlig & Taojun Xie, 2022. "Macroeconomic dynamics and reallocation in an epidemic: evaluating the ‘Swedish solution’," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 37(110), pages 341-398.
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    6. Raouf Boucekkine & Giorgio Fabbri & Salvatore Federico & Fausto Gozzi, 2019. "Growth and agglomeration in the heterogeneous space: a generalized AK approach," Journal of Economic Geography, Oxford University Press, vol. 19(6), pages 1287-1318.
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    11. Daron Acemoglu & Victor Chernozhukov & Iván Werning & Michael D. Whinston, 2021. "Optimal Targeted Lockdowns in a Multigroup SIR Model," American Economic Review: Insights, American Economic Association, vol. 3(4), pages 487-502, December.
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    Cited by:

    1. Augeraud-Véron, Emmanuelle & Fabbri, Giorgio & Schubert, Katheline, 2021. "Prevention and mitigation of epidemics: Biodiversity conservation and confinement policies," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    2. Raouf Boucekkine & Shankha Chakraborty & Aditya Goenka & Lin Liu, 2024. "A Brief Tour of Economic Epidemiology Modelling," LIDAM Discussion Papers IRES 2024002, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    3. Andy Dobson & Cristiano Ricci & Raouf Boucekkine & Giorgio Fabbri & Ted Loch-Temzelides & Mercedes Pascual, 2023. "Balancing economic and epidemiological interventions in the early stages of pathogen emergence," Post-Print hal-04150117, HAL.

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    More about this item

    JEL classification:

    • E60 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - General
    • I10 - Health, Education, and Welfare - - Health - - - General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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