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An economic model of the Covid-19 pandemic with young and old agents: Behavior, testing and policies

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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.

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  • Luiz Brotherhood, 2020. "An economic model of the Covid-19 pandemic with young and old agents: Behavior, testing and policies," Working Papers w202014, Banco de Portugal, Economics and Research Department.
    • Handle: RePEc:ptu:wpaper:w202014
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    1. Facundo Piguillem & Liyan Shi, 2022. "Optimal Covid-19 Quarantine and Testing Policies," The Economic Journal, Royal Economic Society, vol. 132(647), pages 2534-2562.
    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. 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.
    4. 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.
    5. 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.
    6. Andrew Atkeson, 2020. "What Will be the Economic Impact of COVID-19 in the US? Rough Estimates of Disease Scenarios," Staff Report 595, Federal Reserve Bank of Minneapolis.
    7. 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.
    8. Belot, Michèle & Choi, Syngjoo & Tripodi, Egon & van den Broek-Altenburg, Eline & Jamison, Julian C. & Papageorge, Nicholas W., 2020. "Unequal Consequences of COVID-19 across Age and Income: Representative Evidence from Six Countries," IZA Discussion Papers 13366, Institute of Labor Economics (IZA).
    9. David McAdams, 2020. "Nash SIR: An Economic-Epidemiological Model of Strategic Behavior During a Viral Epidemic," Papers 2006.10109, arXiv.org.
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    RePEc Biblio mentions

    As found on the RePEc Biblio, the curated bibliography for Economics:
    1. > Economics of Welfare > Health Economics > Economics of Pandemics > Specific pandemics > Covid-19 > Modelling > General Equilibrium

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    Cited by:

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    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. 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).
    4. 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.
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    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. Nikhil Vellodi & Joshua Weiss, 2021. "Optimal Vaccine Policies: Spillovers and Incentives," Working Paper 21-06, Federal Reserve Bank of Richmond.
    11. 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.
    12. Birinci, Serdar & Karahan, Fatih & Mercan, Yusuf & See, Kurt, 2021. "Labor market policies during an epidemic," Journal of Public Economics, Elsevier, vol. 194(C).
    13. 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.
    14. Matteo Bizzarri & Fabrizio Panebianco & Paolo Pin, 2023. "Homophily and Infections: Static and Dynamic Effects," CSEF Working Papers 672, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    15. 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.
    16. 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.
    17. Carnehl, Christoph & Fukuda, Satoshi & Kos, Nenad, 2023. "Epidemics with behavior," Journal of Economic Theory, Elsevier, vol. 207(C).
    18. 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).
    19. 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.
    20. 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.

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    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

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