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Lockdown Policy Rules with a Hospital Capacity Constraint

Author

Listed:
  • Hongtao Li

    (The University of Tokyo)

  • Taisuke Nakata

    (The University of Tokyo)

  • Hiroki Sakamoto

    (The University of Tokyo)

  • Hiroyuki Uneya

    (The University of Tokyo)

Abstract

We analyze how hospital capacity affects health and economic outcomes during a pandemic using a macro-SIR model featuring a lockdown policy rule. The rule instructs the government to implement a lockdown when the number of ICU patients exceeds a trigger threshold—motivated broadly by a hospital capacity constraint—and to lift the lockdown when it falls below a lifting threshold. When vaccines are not available, we find that the government can reduce both COVID-19 deaths and economic loss by raising the trigger threshold in some situations. When the vaccine rollout is expected to begin in the near future, we find that the government can reduce both COVID-19 deaths and economic loss by lowering the trigger threshold.

Suggested Citation

  • Hongtao Li & Taisuke Nakata & Hiroki Sakamoto & Hiroyuki Uneya, 2026. "Lockdown Policy Rules with a Hospital Capacity Constraint," CARF F-Series CARF-F-620, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    • Handle: RePEc:cfi:fseres:cf620
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    References listed on IDEAS

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    1. Glover, Andrew & Heathcote, Jonathan & Krueger, Dirk, 2022. "Optimal age-Based vaccination and economic mitigation policies for the second phase of the covid-19 pandemic," Journal of Economic Dynamics and Control, Elsevier, vol. 140(C).
    2. Hosono, Kaoru, 2021. "Epidemic and Economic Consequences of Voluntary and Request-based Lockdowns in Japan," Journal of the Japanese and International Economies, Elsevier, vol. 61(C).
    3. Daisuke Fujii & Taisuke Nakata, 2021. "COVID-19 and output in Japan," The Japanese Economic Review, Springer, vol. 72(4), pages 609-650, October.
    4. Aspri, Andrea & Beretta, Elena & Gandolfi, Alberto & Wasmer, Etienne, 2021. "Mortality containment vs. Economics Opening: Optimal policies in a SEIARD model," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    5. Natali Hritonenko & Yuri Yatsenko, 2024. "Analysis of optimal lockdown in integral economic–epidemic model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 235-259, February.
    6. Aditya Goenka & Lin Liu & Manh-Hung Nguyen, 2024. "Modelling optimal lockdowns with waning immunity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 197-234, February.
    7. Caulkins, Jonathan P. & Grass, Dieter & Feichtinger, Gustav & Hartl, Richard F. & Kort, Peter M. & Prskawetz, Alexia & Seidl, Andrea & Wrzaczek, Stefan, 2021. "The optimal lockdown intensity for COVID-19," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    8. Miclo, Laurent & Spiro, Daniel & Weibull, Jörgen, 2022. "Optimal epidemic suppression under an ICU constraint: An analytical solution," Journal of Mathematical Economics, Elsevier, vol. 101(C).
    9. Mitsuhiro Fukao & Etsuro Shioji, 2022. "Is There a Trade‐Off between COVID‐19 Control and Economic Activity? Implications from the Phillips Curve Debate," Asian Economic Policy Review, Japan Center for Economic Research, vol. 17(1), pages 66-85, January.
    10. Farboodi, Maryam & Jarosch, Gregor & Shimer, Robert, 2021. "Internal and external effects of social distancing in a pandemic," Journal of Economic Theory, Elsevier, vol. 196(C).
    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.
    12. Fernando Alvarez & David Argente & Francesco Lippi, 2021. "A Simple Planning Problem for COVID-19 Lock-down, Testing, and Tracing," American Economic Review: Insights, American Economic Association, vol. 3(3), pages 367-382, September.
    13. Pablo D. Fajgelbaum & Amit Khandelwal & Wookun Kim & Cristiano Mantovani & Edouard Schaal, 2021. "Optimal Lockdown in a Commuting Network," American Economic Review: Insights, American Economic Association, vol. 3(4), pages 503-522, December.
    14. Loertscher, Simon & Muir, Ellen V., 2021. "Road to recovery: Managing an epidemic," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    15. Garriga, Carlos & Manuelli, Rody & Sanghi, Siddhartha, 2022. "Optimal management of an epidemic: Lockdown, vaccine and value of life," Journal of Economic Dynamics and Control, Elsevier, vol. 140(C).
    16. Fabien Prieur & Weihua Ruan & Benteng Zou, 2024. "Optimal lockdown and vaccination policies to contain the spread of a mutating infectious disease," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 75-126, February.
    17. Yinon Bar-On & Tatiana Baron & Ofer Cornfeld & Eran Yashiv, 2023. "When to Lock, Not Whom: Managing Epidemics Using Time-Based Restrictions," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 51, pages 292-321, December.
    18. Haoxiang Yang & Özge Sürer & Daniel Duque & David P. Morton & Bismark Singh & Spencer J. Fox & Remy Pasco & Kelly Pierce & Paul Rathouz & Victoria Valencia & Zhanwei Du & Michael Pignone & Mark E. Esc, 2021. "Design of COVID-19 staged alert systems to ensure healthcare capacity with minimal closures," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    19. Ascari, Guido & Colciago, Andrea & Silvestrini, Riccardo, 2023. "Business dynamism, sectoral reallocation and productivity in a pandemic," European Economic Review, Elsevier, vol. 156(C).
    20. Callum Jones & Thomas Philippon & Venky Venkateswaran, 2021. "Optimal Mitigation Policies in a Pandemic: Social Distancing and Working from Home [A simple planning problem for covid-19 lockdown]," The Review of Financial Studies, Society for Financial Studies, vol. 34(11), pages 5188-5223.
    21. Morita, Hiroshi & Ono, Taiki, 2024. "COVID-19 uncertainty index in Japan: Newspaper-based measures and economic activities," International Review of Economics & Finance, Elsevier, vol. 93(PA), pages 390-403.
    22. Casares, Miguel & Gomme, Paul & Khan, Hashmat, 2025. "Private versus social responses to a pandemic," Journal of Economic Dynamics and Control, Elsevier, vol. 181(C).
    23. Robert S. Pindyck, 2020. "COVID-19 and the Welfare Effects of Reducing Contagion," NBER Working Papers 27121, National Bureau of Economic Research, Inc.
    24. Alessandro Calvia & Fausto Gozzi & Francesco Lippi & Giovanni Zanco, 2024. "A simple planning problem for COVID-19 lockdown: a dynamic programming approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 169-196, February.
    25. Fabio Della Rossa & Davide Salzano & Anna Di Meglio & Francesco De Lellis & Marco Coraggio & Carmela Calabrese & Agostino Guarino & Ricardo Cardona-Rivera & Pietro De Lellis & Davide Liuzza & Francesc, 2020. "A network model of Italy shows that intermittent regional strategies can alleviate the COVID-19 epidemic," Nature Communications, Nature, vol. 11(1), pages 1-9, December.
    26. So Kubota, 2021. "The macroeconomics of COVID-19 exit strategy: the case of Japan," The Japanese Economic Review, Springer, vol. 72(4), pages 651-682, October.
    27. Martin S Eichenbaum & Sergio Rebelo & Mathias Trabandt, 2021. "The Macroeconomics of Epidemics [Economic activity and the spread of viral diseases: Evidence from high frequency data]," The Review of Financial Studies, Society for Financial Studies, vol. 34(11), pages 5149-5187.
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