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A Macroeconomic Model of an Epidemic with Silent Transmission and Endogenous Self-isolation

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  • Antonio Diez de los Rios

Abstract

We study the interaction between epidemics and economic decisions in a model where (1) agents allocate their time to market and home production and social and home leisure, (2) these activities differ in their degree of contagiousness, (3) some infected individuals are indistinguishable from susceptible individuals and (4) agents are not necessarily rational. For baseline parameter values for the COVID-19 pandemic, we find that agents partially self-isolate by allocating more time to home activities and that the effective reproduction number of the disease stabilises at one. Detection and isolation of infected individuals severely mitigate the recession caused by the pandemic.

Suggested Citation

  • Antonio Diez de los Rios, 2020. "A Macroeconomic Model of an Epidemic with Silent Transmission and Endogenous Self-isolation," Staff Working Papers 20-50, Bank of Canada.
  • Handle: RePEc:bca:bocawp:20-50
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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.
    2. Sven Drefahl & Matthew Wallace & Eleonora Mussino & Siddartha Aradhya & Martin Kolk & Maria Brandén & Bo Malmberg & Gunnar Andersson, 2020. "A population-based cohort study of socio-demographic risk factors for COVID-19 deaths in Sweden," Nature Communications, Nature, vol. 11(1), pages 1-7, December.
    3. Benhabib, Jess & Rogerson, Richard & Wright, Randall, 1991. "Homework in Macroeconomics: Household Production and Aggregate Fluctuations," Journal of Political Economy, University of Chicago Press, vol. 99(6), pages 1166-1187, December.
    4. Karl M. Aspelund & Michael C. Droste & James H. Stock & Christopher D. Walker, 2020. "Identification and Estimation of Undetected COVID-19 Cases Using Testing Data from Iceland," NBER Working Papers 27528, National Bureau of Economic Research, Inc.
    5. Dirk Kruger & Harald Uhlig & Taojun Xie, 2020. "Macroeconomic Dynamics and Reallocation in an Epidemic," Working Papers 2020-43, Becker Friedman Institute for Research In Economics.
    6. Hunt Allcott & Benjamin B Lockwood & Dmitry Taubinsky, 2019. "Regressive Sin Taxes, with an Application to the Optimal Soda Tax," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(3), pages 1557-1626.
    7. Gronau, Reuben, 1977. "Leisure, Home Production, and Work-The Theory of the Allocation of Time Revisited," Journal of Political Economy, University of Chicago Press, vol. 85(6), pages 1099-1123, December.
    8. George‐Levi Gayle & Andrew Shephard, 2019. "Optimal Taxation, Marriage, Home Production, and Family Labor Supply," Econometrica, Econometric Society, vol. 87(1), pages 291-326, January.
    9. 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.
    10. Emmanuel Farhi & Xavier Gabaix, 2020. "Optimal Taxation with Behavioral Agents," American Economic Review, American Economic Association, vol. 110(1), pages 298-336, January.
    11. Jonathan Gruber & Botond Köszegi, 2001. "Is Addiction "Rational"? Theory and Evidence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(4), pages 1261-1303.
    12. Korinek, Anton & Bethune, Zachary, 2020. "COVID-19 Infection Externalities: Trading Off Lives vs. Livelihoods," CEPR Discussion Papers 14596, C.E.P.R. Discussion Papers.
    13. repec:eee:labchp:v:1:y:1986:i:c:p:273-304 is not listed on IDEAS
    14. Gabaix, Xavier, 2015. "Behavioral Macroeconomics Via Sparse Dynamic Programming," CEPR Discussion Papers 11026, C.E.P.R. Discussion Papers.
    15. 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.
    16. 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.
    17. Xavier Gabaix, 2014. "A Sparsity-Based Model of Bounded Rationality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1661-1710.
    18. Robert E. Hall & Charles I. Jones, 2007. "The Value of Life and the Rise in Health Spending," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(1), pages 39-72.
    19. Veronica Guerrieri & Guido Lorenzoni & Ludwig Straub & Iván Werning, 2022. "Macroeconomic Implications of COVID-19: Can Negative Supply Shocks Cause Demand Shortages?," American Economic Review, American Economic Association, vol. 112(5), pages 1437-1474, May.
    20. Neil M. Ferguson & Derek A. T. Cummings & Christophe Fraser & James C. Cajka & Philip C. Cooley & Donald S. Burke, 2006. "Strategies for mitigating an influenza pandemic," Nature, Nature, vol. 442(7101), pages 448-452, July.
    21. Gans, Joshua Samuel, 2020. "The Economic Consequences of R=1: Towards a Workable Behavioural Epidemiological Model of Pandemics," SocArXiv yxdc5, Center for Open Science.
    22. Boragan Aruoba & Morris Davis & Randall Wright, 2016. "Homework in Monetary Economics: Inflation, Home Production, and the Production of Homes," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 21, pages 105-124, July.
    23. Xavier Gabaix, 2020. "A Behavioral New Keynesian Model," American Economic Review, American Economic Association, vol. 110(8), pages 2271-2327, August.
    24. Andrew T. Levin & William P. Hanage & Nana Owusu-Boaitey & Kensington B. Cochran & Seamus P. Walsh & Gideon Meyerowitz-Katz, 2020. "Assessing the Age Specificity of Infection Fatality Rates for COVID-19: Systematic Review, Meta-analysis, & Public Policy Implications," NBER Working Papers 27597, National Bureau of Economic Research, Inc.
    25. Toxvaerd, F.M.O, 2020. "Equilibrium Social Distancing," Cambridge Working Papers in Economics 2021, Faculty of Economics, University of Cambridge.
    26. 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.
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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:

    1. Miguel Casares & Paul Gomme & Hashmat Khan, 2022. "COVID‐19 pandemic and economic scenarios for Ontario," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 55(S1), pages 503-539, February.

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    More about this item

    Keywords

    Coronavirus disease (COVID-19); Economic models;

    JEL classification:

    • E1 - Macroeconomics and Monetary Economics - - General Aggregative Models
    • H0 - Public Economics - - General
    • I1 - Health, Education, and Welfare - - Health

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