A simple planning problem for COVID-19 lockdown: a dynamic programming approach
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DOI: 10.1007/s00199-023-01493-1
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- Giorgio Fabbri & Salvatore Federico & Davide Fiaschi & Fausto Gozzi, 2024.
"Mobility decisions, economic dynamics and epidemic,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 495-531, February.
- Giorgio Fabbri & Salvatore Federico & Davide Fiaschi & Fausto Gozzi, 2021. "Mobilty Decisions, Economic Dynamics and Epidemic," LIDAM Discussion Papers IRES 2021017, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Giorgio Fabbri & Salvatore Federico & Davide Fiaschi & Fausto Gozzi, 2021. "Mobility decisions, economic dynamics and epidemic," Papers 2107.01746, arXiv.org, revised Oct 2023.
- Giorgio Fabbri & Salvatore Federico & Davide Fiaschi & Fausto Gozzi, 2022. "Mobility decisions, economic dynamics and Epidemic," Working Papers 2022-03, Grenoble Applied Economics Laboratory (GAEL).
- Giorgio Fabbri & Salvatore Federico & Davide Fiaschi & Fausto Gozzi, 2022. "Mobility Decisions, Economic Dynamics And Epidemic," LIDAM Discussion Papers IRES 2022028, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Giorgio Fabbri & Salvatore Federico & Davide Fiaschi & Fausto Gozzi, 2024. "Mobility decisions, economic dynamics and epidemic," Post-Print hal-04153998, HAL.
- 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.
- Stefan Pollinger, 2022. "Optimal Contact Tracing and Social Distancing Policies to Suppress a New Infectious Disease," Working Papers hal-03793909, HAL.
- Stefan Pollinger, 2022. "Optimal Contact Tracing and Social Distancing Policies to Suppress a New Infectious Disease," SciencePo Working papers Main hal-03793909, HAL.
- Christian Gollier, 2020.
"Cost–benefit analysis of age‐specific deconfinement strategies,"
Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(6), pages 1746-1771, December.
- Christian Gollier, 2020. "Cost–benefit analysis of age‐specific deconfinement strategies," Post-Print hal-03156641, HAL.
- 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.
- Martin S. Eichenbaum & Sergio Rebelo & Mathias Trabandt, 2020. "The Macroeconomics of Epidemics," NBER Working Papers 26882, National Bureau of Economic Research, Inc.
- Rebelo, Sérgio & Eichenbaum, Martin & Trabandt, Mathias, 2020. "The Macroeconomics of Epidemics," CEPR Discussion Papers 14520, C.E.P.R. Discussion Papers.
- Bambi, Mauro & Gozzi, Fausto, 2020.
"Internal habits formation and optimality,"
Journal of Mathematical Economics, Elsevier, vol. 91(C), pages 165-172.
- Mauro Bambi & Fausto Gozzi, 2019. "Internal Habit Formation and Optimality," Department of Economics Working Papers 2019_01, Durham University, Department of Economics.
- Goenka, Aditya & Liu, Lin & Nguyen, Manh-Hung, 2014.
"Infectious diseases and economic growth,"
Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 34-53.
- Aditya Goenka & Lin Liu & Manh-Hung Nguyen, 2011. "Infectious Diseases and Economic Growth," LERNA Working Papers 11.04.338, LERNA, University of Toulouse.
- Aditya Goenkay & Lin Liu & Manh-Hung Nguyen, 2013. "Infectious Diseases and Economic Growth," Working Papers 06, Development and Policies Research Center (DEPOCEN), Vietnam.
- Facundo Piguillem & Liyan Shi, 2022.
"Optimal Covid-19 Quarantine and Testing Policies,"
The Economic Journal, Royal Economic Society, vol. 132(647), pages 2534-2562.
- Piguillem, Facundo & Shi, Liyan, 2020. "Optimal COVID-19 Quarantine and Testing Policies," CEPR Discussion Papers 14613, C.E.P.R. Discussion Papers.
- Facundo Piguillem & Liyan Shi, 2020. "Optimal COVID-19 Quarantine and Testing Policies," EIEF Working Papers Series 2004, Einaudi Institute for Economics and Finance (EIEF), revised Apr 2020.
- Freni, Giuseppe & Gozzi, Fausto & Pignotti, Cristina, 2008. "Optimal strategies in linear multisector models: Value function and optimality conditions," Journal of Mathematical Economics, Elsevier, vol. 44(1), pages 55-86, January.
- 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).
- Andrea Aspri & Elena Beretta & Alberto Gandolfi & Etienne Wasmer, 2020. "Mortality containment vs. economics opening: optimal policies in a SEIARD model," Papers 2006.00085, arXiv.org.
- Andrea Aspri & Elena Beretta & Alberto Gandolfi & Etienne Wasmer, 2021. "Mortality containment vs. Economics Opening: Optimal policies in a SEIARD model," Post-Print hal-03950294, HAL.
- Andrea Aspri & Elena Beretta & Alberto Gandolfi & Etienne Wasmer, 2021. "Mortality containment vs. Economics Opening: Optimal policies in a SEIARD model," SciencePo Working papers Main hal-03950294, HAL.
- 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).
- Maryam Farboodi & Gregor Jarosch & Robert Shimer, 2020. "Internal and External Effects of Social Distancing in a Pandemic," NBER Working Papers 27059, National Bureau of Economic Research, Inc.
- Maryam Farboodi & Gregor Jarosch & Robert Shimer, 2021. "Internal and External Effects of Social Distancing in a Pandemic," Working Papers 2021-78, Princeton University. Economics Department..
- Maryam Farboodi & Gregor Jarosch & Robert Shimer, 2020. "Internal and External Effects of Social Distancing in a Pandemic," Working Papers 2020-47, Becker Friedman Institute for Research In Economics.
- Jarosch, Gregor & Farboodi, Maryam & Shimer, Robert, 2020. "Internal and External Effects of Social Distancing in a Pandemic," CEPR Discussion Papers 14670, C.E.P.R. Discussion Papers.
- Fabbri, Giorgio & Gozzi, Fausto & Zanco, Giovanni, 2021.
"Verification results for age-structured models of economic–epidemics dynamics,"
Journal of Mathematical Economics, Elsevier, vol. 93(C).
- Giorgio Fabbri & Fausto Gozzi & Giovanni Zanco, 2020. "Verification Results for Age-Structured Models of Economic-Epidemics Dynamics," Papers 2008.07335, arXiv.org.
- Giorgio Fabbri & Fausto Gozzi & Giovanni Zanco, 2021. "Verification results for age-structured models of economic–epidemics dynamics," Post-Print halshs-03038968, HAL.
- Giorgio Fabbri & Fausto Gozzi & Giovanni Zanco, 2021. "Verification Results For Age-Structured Models Of Economic-Epidemics Dynamics," LIDAM Discussion Papers IRES 2021004, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
- Aditya Goenka & Lin Liu, 2020.
"Infectious diseases, human capital and economic growth,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 1-47, July.
- Lin Liu & Aditya Goenka, 2017. "Infectious Diseases, Human Capital and Economic Growth," 2017 Meeting Papers 1218, Society for Economic Dynamics.
- Aditya Goenka & Lin Liu, 2019. "Infectious Diseases, Human Capital and Economic Growth," Discussion Papers 19-11, Department of Economics, University of Birmingham.
- 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.
- Callum J. Jones & Thomas Philippon & Venky Venkateswaran, 2020. "Optimal Mitigation Policies in a Pandemic: Social Distancing and Working from Home," NBER Working Papers 26984, National Bureau of Economic Research, Inc.
- 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.
- Daron Acemoglu & Ali Makhdoumi & Azarakhsh Malekian & Asuman Ozdaglar, 2020. "Testing, Voluntary Social Distancing and the Spread of an Infection," NBER Working Papers 27483, National Bureau of Economic Research, Inc.
- Giuseppe Freni & Fausto Gozzi & Neri Salvadori, 2006.
"Existence of optimal strategies in linear multisector models,"
Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 25-48, September.
- Giuseppe Freni & Fausto Gozzi & Neri Salvadori, 2004. "Existence of Optimal Strategies in linear Multisector Models," Discussion Papers 2004/29, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
- Federico, Salvatore & Ferrari, Giorgio, 2021. "Taming the spread of an epidemic by lockdown policies," Journal of Mathematical Economics, Elsevier, vol. 93(C).
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Cited by:
- Raouf Boucekkine & Ted Loch-Temzelides, 2024. "Introduction to the special issue on mathematical economic epidemiology models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 1-7, February.
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Keywords
Controlled SIRD model; Optimal lockdown policies; Optimal control with state space constraints; Optimality conditions; Viscosity solutions;All these keywords.
JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
- I12 - Health, Education, and Welfare - - Health - - - Health Behavior
- I15 - Health, Education, and Welfare - - Health - - - Health and Economic Development
- I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
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