IDEAS home Printed from https://ideas.repec.org/p/bon/boncrc/crctr224_2020_175v2.html
   My bibliography  Save this paper

An Economic Model of the COVID-19 Pandemic With Young and Old Agents: Behavior, Testing and Policies

Author

Listed:
  • Luiz Brotherhood
  • Philipp Kircher
  • Cezar Santos
  • Michéle Tertilt

Abstract

This paper investigates the importance of the age composition in the Covid-19 pandemic. We augment a standard SIR epidemiological model with individual choices on work and non-work social distancing. Infected individuals are initially uncertain unless they are tested. We find that older individuals socially distance themselves substantially in equilibrium. Confining the old even more reduces their welfare. Confining the young extends the duration of the epidemic, with negative consequences on the old if the epidemic cannot be controlled after confinement. Testing and quarantines save lives, even if conducted just on the young, as does separation of activities by age. Combining policies can increase the welfare of both the young and the old.

Suggested Citation

  • Luiz Brotherhood & Philipp Kircher & Cezar Santos & Michéle Tertilt, 2020. "An Economic Model of the COVID-19 Pandemic With Young and Old Agents: Behavior, Testing and Policies," CRC TR 224 Discussion Paper Series crctr224_2020_175v2, University of Bonn and University of Mannheim, Germany.
    • Handle: RePEc:bon:boncrc:crctr224_2020_175v2
    as

    Download full text from publisher

    File URL: https://www.crctr224.de/research/discussion-papers/archive/dp175
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Facundo Piguillem & Liyan Shi, 2022. "Optimal Covid-19 Quarantine and Testing Policies," The Economic Journal, Royal Economic Society, vol. 132(647), pages 2534-2562.
    3. Ichino, Andrea & Favero, Carlo A. & Rustichini, Aldo, 2020. "Restarting the economy while saving lives under Covid-19," CEPR Discussion Papers 14664, C.E.P.R. Discussion Papers.
    4. Kuhn, Moritz & Bayer, Christian, 2020. "Intergenerational ties and case fatality rates: A cross-country analysis," CEPR Discussion Papers 14519, C.E.P.R. Discussion Papers.
    5. 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.
    6. 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.
    7. Andrew Atkeson, 2020. "What Will Be the Economic Impact of COVID-19 in the US? Rough Estimates of Disease Scenarios," NBER Working Papers 26867, National Bureau of Economic Research, Inc.
    8. 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.
    9. Michele Belot & Syngjoo Choi & Egon Tripodi & Eline van den Broek-Altenburg & Julian C. Jamison & Nicholas W. Papageorge, 2020. "Unequal Consequences of Covid 19 across Age and Income: Representative Evidence from Six Countries," Working Paper Series no135, Institute of Economic Research, Seoul National University.
    10. David McAdams, 2020. "Nash SIR: An Economic-Epidemiological Model of Strategic Behavior During a Viral Epidemic," Papers 2006.10109, arXiv.org.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jeremy Greenwood & Nezih Guner & Karen A. Kopecky, 2022. "The Downward Spiral," NBER Working Papers 29764, National Bureau of Economic Research, Inc.
    2. Stefan Pollinger, 2023. "Optimal Contact Tracing and Social Distancing Policies to Suppress A New Infectious Disease," The Economic Journal, Royal Economic Society, vol. 133(654), pages 2483-2503.
    3. Checo Ariadne & Grigoli Francesco & Mota Jose M., 2022. "Assessing Targeted Containment Policies to Fight COVID-19," The B.E. Journal of Macroeconomics, De Gruyter, vol. 22(1), pages 159-196, January.
    4. 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.
    5. Nicola Fuchs-Schündeln & Dirk Krueger & André Kurmann & Etienne Lalé & Alexander Ludwig & Irina Popova, 2023. "The Fiscal and Welfare Effects of Policy Responses to the Covid-19 School Closures," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 71(1), pages 35-98, March.
    6. Birinci, Serdar & Karahan, Fatih & Mercan, Yusuf & See, Kurt, 2021. "Labor market policies during an epidemic," Journal of Public Economics, Elsevier, vol. 194(C).
    7. Brotherhood, Luiz & Jerbashian, Vahagn, 2023. "Firm behavior during an epidemic," Journal of Economic Dynamics and Control, Elsevier, vol. 147(C).
    8. Thuilliez, Josselin & Touré, Nouhoum, 2024. "Opinions and vaccination during an epidemic," Journal of Mathematical Economics, Elsevier, vol. 111(C).
    9. Pensieroso, Luca & Sommacal, Alessandro & Spolverini, Gaia, 2023. "Intergenerational coresidence and the Covid-19 pandemic in the United States," Economics & Human Biology, Elsevier, vol. 49(C).
    10. Lester C Hunt & Anqi Zhang & Shuonan Zhang, 2022. "Recession and Recovery of the Pandemic," Working Papers in Economics & Finance 2022-05, University of Portsmouth, Portsmouth Business School, Economics and Finance Subject Group.
    11. 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.
    12. Alfaro, Laura & Faia, Ester & Lamersdorf, Nora & Saidi, Farzad, 2024. "Altruism, social interactions, and the course of a pandemic," European Economic Review, Elsevier, vol. 161(C).
    13. Nicholas W. Papageorge, 2021. "Modeling Behavior during a Pandemic: Using HIV as an Historical Analogy," NBER Working Papers 28898, National Bureau of Economic Research, Inc.
    14. 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).
    15. Josselin Thuilliez & Nouhoum Touré, 2024. "Opinions and vaccination during an epidemic," Post-Print hal-04490900, HAL.
    16. Masciandaro, Donato & Goodhart, Charles & Ugolini, Stefano, 2021. "Pandemic recession and helicopter money: Venice, 1629–1631," Financial History Review, Cambridge University Press, vol. 28(3), pages 300-318, December.
    17. Matteo Bizzarri & Fabrizio Panebianco & Paolo Pin, 2023. "Homophily and infections: static and dynamic effects," Papers 2304.11934, arXiv.org, revised Aug 2024.
    18. Carnehl, Christoph & Fukuda, Satoshi & Kos, Nenad, 2023. "Epidemics with behavior," Journal of Economic Theory, Elsevier, vol. 207(C).
    19. Christian Alemán-Pericón & Daniela Iorio & Raül Santaeulàlia-Llopis, 2024. "A Quantitative Theory of the HIV Epidemic: Education, Risky Sex and Asymmetric Learning," Working Papers 1418, Barcelona School of Economics.
    20. Thomas Hellmann & Veikko Thiele, 2022. "A theory of voluntary testing and self‐isolation in an ongoing pandemic," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(5), pages 873-911, October.
    21. 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.
    22. Nikhil Vellodi & Joshua Weiss, 2021. "Optimal Vaccine Policies: Spillovers and Incentives," Working Paper 21-06, Federal Reserve Bank of Richmond.
    23. Josselin Thuilliez & Nouhoum Touré, 2024. "Opinions and vaccination during an epidemic," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-04490900, HAL.
    24. 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.

    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. Brotherhood, Luiz & Kircher, Philipp & Santos, Cezar & Tertilt, Michèle, 2020. "An Economic Model of the COVID-19 Epidemic: The Importance of Testing and Age-Specific Policies," IZA Discussion Papers 13265, Institute of Labor Economics (IZA).
    2. Ichino, Andrea & Favero, Carlo A. & Rustichini, Aldo, 2020. "Restarting the economy while saving lives under Covid-19," CEPR Discussion Papers 14664, C.E.P.R. Discussion Papers.
    3. 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).
    4. David E. Bloom & Michael Kuhn & Klaus Prettner, 2022. "Modern Infectious Diseases: Macroeconomic Impacts and Policy Responses," Journal of Economic Literature, American Economic Association, vol. 60(1), pages 85-131, March.
    5. Sauvagnat, Julien & Barrot, Jean-Noël & Grassi, Basile, 2020. "Estimating the costs and benefits of mandated business closures in a pandemic," CEPR Discussion Papers 14757, C.E.P.R. Discussion Papers.
    6. 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.
    7. 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.
    8. 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.
    9. Leonardo Melosi & Matthias Rottner, 2020. "Pandemic Recessions and Contact Tracing," Working Paper Series WP-2020-31, Federal Reserve Bank of Chicago.
    10. Greg Kaplan & Benjamin Moll & Giovanni L. Violante, 2020. "The Great Lockdown and the Big Stimulus: Tracing the Pandemic Possibility Frontier for the U.S," NBER Working Papers 27794, National Bureau of Economic Research, Inc.
    11. 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.
    12. Marina Azzimonti-Renzo & Alessandra Fogli & Fabrizio Perri & Mark Ponder, 2020. "Pandemic Control in ECON-EPI Networks," Staff Report 609, Federal Reserve Bank of Minneapolis.
    13. Łukasz Rachel, 2020. "An Analytical Model of Covid-19 Lockdowns," Discussion Papers 2029, Centre for Macroeconomics (CFM).
    14. Giagheddu, Marta & Papetti, Andrea, 2023. "The macroeconomics of age-varying epidemics," European Economic Review, Elsevier, vol. 151(C).
    15. Dizioli, Allan & Pinheiro, Roberto, 2021. "Information and inequality in the time of a pandemic," Journal of Economic Dynamics and Control, Elsevier, vol. 130(C).
    16. 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).
    17. Christian Moser & Pierre Yared, 2022. "Pandemic Lockdown: The Role of Government Commitment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 46, pages 27-50, October.
    18. 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).
    19. Anna Houstecka & Dongya Koh & Raül Santaeulàlia-Llopis, 2020. "Contagion at Work," Working Papers 1225, Barcelona School of Economics.
    20. Victor Aguirregabiria & Jiaying Gu & Yao Luo & Pedro Mira, 2020. "A Dynamic Structural Model of Virus Diffusion and Network Production: A First Report," Working Papers tecipa-665, University of Toronto, Department of Economics.

    More about this item

    Keywords

    Covid-19; testing; social distancing; age-specific policies;
    All these keywords.

    JEL classification:

    • E17 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Forecasting and Simulation: Models and Applications
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • I10 - Health, Education, and Welfare - - Health - - - General
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health

    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:bon:boncrc:crctr224_2020_175v2. 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: CRC Office (email available below). General contact details of provider: https://www.crctr224.de .

    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.