IDEAS home Printed from https://ideas.repec.org/p/tcr/wpaper/e221.html

Optimal Lockdown Policy with Virus Mutation

Author

Listed:
  • Quentin Batista
  • Masakazu Emoto
  • Naoki Maezono
  • Taisuke Nakata

Abstract

We examine the implications of virus mutation for optimal lockdown policy in an epi-macro model. We consider three ways of modelling mutation---one deterministic setup and two stochastic setups featuring a two-state and three-state Markov process. We find that the effects of mutation on optimal lockdown policy are asymmetric. In particular, a future reduction in the transmission rate increases lockdown intensity by more than a future rise in the transmission rate lowers it. As a corollary to this asymmetry, an increase in uncertainty about future mutation is non-neutral and reduces lockdown intensity under the optimal policy.

Suggested Citation

  • Quentin Batista & Masakazu Emoto & Naoki Maezono & Taisuke Nakata, 2026. "Optimal Lockdown Policy with Virus Mutation," Working Papers e221, Tokyo Center for Economic Research.
  • Handle: RePEc:tcr:wpaper:e221
    as

    Download full text from publisher

    File URL: https://www.tcer.or.jp/wp/pdf/e221.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. V. V. Chari & Rishabh Kirpalani & Christopher Phelan, 2021. "The Hammer and the Scalpel: On the Economics of Indiscriminate versus Targeted Isolation Policies during Pandemics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 42, pages 1-14, October.
    2. 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).
    3. Bandyopadhyay, Siddhartha & Chatterjee, Kalyan & Das, Kaustav & Roy, Jaideep, 2021. "Learning versus habit formation: Optimal timing of lockdown for disease containment," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    4. Federico, Salvatore & Ferrari, Giorgio, 2021. "Taming the spread of an epidemic by lockdown policies," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    5. Michael Barnett & Greg Buchak & Constantine Yannelis, 2023. "Epidemic responses under uncertainty," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 120(2), pages 2208111120-, January.
    6. Fu, Yuting & Jin, Hanqing & Xiang, Haitao & Wang, Ning, 2022. "Optimal lockdown policy for vaccination during COVID-19 pandemic," Finance Research Letters, Elsevier, vol. 45(C).
    7. Facundo Piguillem & Liyan Shi, 2022. "Optimal Covid-19 Quarantine and Testing Policies," The Economic Journal, Royal Economic Society, vol. 132(647), pages 2534-2562.
    8. 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).
    9. Christian Gollier, 2020. "Pandemic economics: optimal dynamic confinement under uncertainty and learning," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 45(2), pages 80-93, September.
    10. 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.
    11. 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).
    12. Daron Acemoglu & Victor Chernozhukov & Ivàn Werning & Michael D. Whinston, 2020. "A Multi-Risk SIR Model with Optimally Targeted Lockdown," CeMMAP working papers CWP14/20, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    13. 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.
    14. 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.
    15. Collard, Fabrice & Hellwig, Christian & Assenza, Tiziana & Kankanamge, Sumudu & Dupaigne, Martial & Werquin, Nicolas & Feve, Patrick, 2020. "The Hammer and the Dance: Equilibrium and Optimal Policy during a Pandemic Crisis," CEPR Discussion Papers 14731, C.E.P.R. Discussion Papers.
    16. Gonzalez-Eiras, Martín & Niepelt, Dirk, 2025. "A tractable model of epidemic control and equilibrium dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 178(C).
    17. Martin Bodenstein & Giancarlo Corsetti & Luca Guerrieri, 2022. "Social distancing and supply disruptions in a pandemic," Quantitative Economics, Econometric Society, vol. 13(2), pages 681-721, May.
    18. Timo Boppart & Karl Harmenberg & John Hassler & Per Krusell & Jonna Olsson, 2025. "Integrated epi‐econ assessment: Quantitative theory," Quantitative Economics, Econometric Society, vol. 16(1), pages 89-131, January.
    19. Glover, Andrew & Heathcote, Jonathan & Krueger, Dirk & Ríos-Rull, José-Víctor, 2023. "Health versus wealth: On the distributional effects of controlling a pandemic," Journal of Monetary Economics, Elsevier, vol. 140(C), pages 34-59.
    20. David Berger & Kyle Herkenhoff & Chengdai Huang & Simon Mongey, 2022. "Testing and Reopening in an SEIR Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 43, pages 1-21, January.
    21. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. V. V. Chari & Rishabh Kirpalani & Christopher Phelan, 2021. "The Hammer and the Scalpel: On the Economics of Indiscriminate versus Targeted Isolation Policies during Pandemics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 42, pages 1-14, October.
    2. Glover, Andrew & Heathcote, Jonathan & Krueger, Dirk & Ríos-Rull, José-Víctor, 2023. "Health versus wealth: On the distributional effects of controlling a pandemic," Journal of Monetary Economics, Elsevier, vol. 140(C), pages 34-59.
    3. Sewon Hur, 2023. "The Distributional Effects Of Covid‐19 And Optimal Mitigation Policies," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(1), pages 261-294, February.
    4. 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).
    5. Francesco Flaviano Russo, 2023. "Epidemics and policy: the dismal trade-offs," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 40(2), pages 561-588, July.
    6. Bairoliya, Neha & İmrohoroğlu, Ayşe, 2023. "Macroeconomic consequences of stay-at-home policies during the COVID-19 pandemic," European Economic Review, Elsevier, vol. 152(C).
    7. Hongtao Li & Taisuke Nakata & Hiroki Sakamoto & Hiroyuki Uneya, 2026. "Lockdown Policy Rules with a Hospital Capacity Constraint," Working Papers e223, Tokyo Center for Economic Research.
    8. Marina Azzimonti & Alessandra Fogli & Fabrizio Perri & Mark Ponder, 2020. "Pandemic Control in ECON-EPI Networks," Staff Report 609, Federal Reserve Bank of Minneapolis.
    9. Timo Boppart & Karl Harmenberg & John Hassler & Per Krusell & Jonna Olsson, 2020. "Integrated epi-econ assessment," Edinburgh School of Economics Discussion Paper Series 297, Edinburgh School of Economics, University of Edinburgh.
    10. David Baqaee & Emmanuel Farhi, 2022. "Supply and Demand in Disaggregated Keynesian Economies with an Application to the COVID-19 Crisis," American Economic Review, American Economic Association, vol. 112(5), pages 1397-1436, May.
    11. Caulkins, J.P. & Grass, D. & Feichtinger, G. & Hartl, R.F. & Kort, P.M. & Kuhn, M. & Prskawetz, A. & Sanchez-Romero, M. & Seidl, A. & Wrzaczek, S., 2023. "The hammer and the jab: Are COVID-19 lockdowns and vaccinations complements or substitutes?," European Journal of Operational Research, Elsevier, vol. 311(1), pages 233-250.
    12. Cristina Arellano & Yan Bai & Gabriel Mihalache, 2024. "Deadly Debt Crises: COVID-19 in Emerging Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 91(3), pages 1243-1290.
    13. Timo Boppart & Karl Harmenberg & John Hassler & Per Krusell & Jonna Olsson, 2025. "Integrated epi‐econ assessment: Quantitative theory," Quantitative Economics, Econometric Society, vol. 16(1), pages 89-131, January.
    14. 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.
    15. Çakmaklı, Cem & Demiralp, Selva & Özcan, Şebnem Kalemli & Yeşiltaş, Sevcan & Yıldırım, Muhammed A., 2023. "COVID-19 and emerging markets: A SIR model, demand shocks and capital flows," Journal of International Economics, Elsevier, vol. 145(C).
    16. Guimarães, Luís, 2021. "Antibody tests: They are more important than we thought," Journal of Mathematical Economics, Elsevier, vol. 93(C).
    17. Lukasz Rachel, 2025. "The second wave," Review of Economic Design, Springer;Society for Economic Design, vol. 29(1), pages 87-113, February.
    18. Giagheddu, Marta & Papetti, Andrea, 2023. "The macroeconomics of age-varying epidemics," European Economic Review, Elsevier, vol. 151(C).
    19. Boucekkine, Raouf & Chakraborty, Shankha & Goenka, Aditya & Liu, Lin, 2024. "Economic epidemiological modelling: A progress report," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    20. Daron Acemoglu & Ali Makhdoumi & Azarakhsh Malekian & Asuman Ozdaglar, 2024. "Testing, Voluntary Social Distancing, and the Spread of an Infection," Operations Research, INFORMS, vol. 72(2), pages 533-548, March.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:tcr:wpaper:e221. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/tctokjp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.