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Mobility decisions, economic dynamics and epidemic

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  • Giorgio Fabbri
  • Salvatore Federico
  • Davide Fiaschi
  • Fausto Gozzi

Abstract

We propose a model, which nests a susceptible-infected-recovered-deceased (SIRD) epidemic model into a dynamic macroeconomic equilibrium framework with agents' mobility. The latter affect both their income and their probability of infecting and being infected. Strategic complementarities among individual mobility choices drive the evolution of aggregate economic activity, while infection externalities caused by individual mobility affect disease diffusion. The continuum of rational forward-looking agents coordinates on the Nash equilibrium of a discrete time, finite-state, infinite-horizon Mean Field Game. We prove the existence of an equilibrium and provide a recursive construction method for the search of an equilibrium(a), which also guides our numerical investigations. We calibrate the model by using Italian experience on COVID-19 epidemic and we discuss policy implications.

Suggested Citation

  • Giorgio Fabbri & Salvatore Federico & Davide Fiaschi & Fausto Gozzi, 2021. "Mobility decisions, economic dynamics and epidemic," Papers 2107.01746, arXiv.org, revised Oct 2023.
    • Handle: RePEc:arx:papers:2107.01746
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    1. 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.
    2. 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.
    3. Fernando Alvarez & David Argente, 2020. "A Simple Planning Problem for COVID-19 Lockdown," Working Papers 2020-34, Becker Friedman Institute for Research In Economics.
    4. Goolsbee, Austan & Syverson, Chad, 2021. "Fear, lockdown, and diversion: Comparing drivers of pandemic economic decline 2020," Journal of Public Economics, Elsevier, vol. 193(C).
    5. 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.
    6. Jovanovic, Boyan & Rosenthal, Robert W., 1988. "Anonymous sequential games," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 77-87, February.
    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. 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.
    10. Eichenbaum, Martin S. & Rebelo, Sergio & Trabandt, Mathias, 2022. "The macroeconomics of testing and quarantining," Journal of Economic Dynamics and Control, Elsevier, vol. 138(C).
    11. Luiz Brotherhood & Philipp Kircher & Cezar Santos & Michèle Tertilt, 2020. "An Economic Model of the Covid-19 Epidemic: The Importance of Testing and Age-Specific Policies," CESifo Working Paper Series 8316, CESifo.
    12. Moll, Benjamin & Kaplan, Greg & Violante, Giovanni, 2020. "The Great Lockdown and the Big Stimulus: Tracing the Pandemic Possibility Frontier for the U.S," CEPR Discussion Papers 15256, C.E.P.R. Discussion Papers.
    13. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(3), pages 441-463.
    14. Zachary A. Bethune & Anton Korinek, 2020. "Covid-19 Infection Externalities: Trading Off Lives vs. Livelihoods," NBER Working Papers 27009, National Bureau of Economic Research, Inc.
    15. Fernando Alvarez & David Argente & Francesco Lippi, 2021. "A Simple Planning Problem for COVID-19 Lock-down, Testing, and Tracing," American Economic Review: Insights, American Economic Association, vol. 3(3), pages 367-382, September.
    16. Bisin, Alberto & Moro, Andrea, 2022. "Spatial‐SIR with network structure and behavior: Lockdown rules and the Lucas critique," Journal of Economic Behavior & Organization, Elsevier, vol. 198(C), pages 370-388.
    17. 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.
    18. Rosen, Sherwin, 1988. "The Value of Changes in Life Expectancy," Journal of Risk and Uncertainty, Springer, vol. 1(3), pages 285-304, September.
    19. Charles F. Manski, 2000. "Economic Analysis of Social Interactions," Journal of Economic Perspectives, American Economic Association, vol. 14(3), pages 115-136, Summer.
    20. 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.
    21. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    22. Seth Flaxman & Swapnil Mishra & Axel Gandy & H. Juliette T. Unwin & Thomas A. Mellan & Helen Coupland & Charles Whittaker & Harrison Zhu & Tresnia Berah & Jeffrey W. Eaton & Mélodie Monod & Azra C. Gh, 2020. "Estimating the effects of non-pharmaceutical interventions on COVID-19 in Europe," Nature, Nature, vol. 584(7820), pages 257-261, August.
    23. Andrey Simonov & Szymon Sacher & Jean-Pierre Dube & Shirsho Biswas, 2020. "The Persuasive Effect of Fox News: Non-Compliance with Social Distancing During the COVID-19 Pandemic," Working Papers 2020-67, Becker Friedman Institute for Research In Economics.
    24. Jizhou Huang & Haifeng Wang & Haoyi Xiong & Miao Fan & An Zhuo & Ying Li & Dejing Dou, 2020. "Quantifying the Economic Impact of COVID-19 in Mainland China Using Human Mobility Data," Papers 2005.03010, arXiv.org.
    25. 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.
    26. Christopher Avery & William Bossert & Adam Clark & Glenn Ellison & Sara Fisher Ellison, 2020. "An Economist's Guide to Epidemiology Models of Infectious Disease," Journal of Economic Perspectives, American Economic Association, vol. 34(4), pages 79-104, Fall.
    27. Toxvaerd, F.M.O, 2020. "Equilibrium Social Distancing," Cambridge Working Papers in Economics 2021, Faculty of Economics, University of Cambridge.
    28. 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.
    29. Fenichel, Eli P., 2013. "Economic considerations for social distancing and behavioral based policies during an epidemic," Journal of Health Economics, Elsevier, vol. 32(2), pages 440-451.
    30. 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," CEPR Discussion Papers 14695, C.E.P.R. Discussion Papers.
    31. 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," CEPR Discussion Papers 14695, C.E.P.R. Discussion Papers.
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    Cited by:

    1. Hippolyte d’Albis & Emmanuelle Augeraud-Véron & Dramane Coulibaly & Rodolphe Desbordes, 2024. "Covid-19 and mobility: determinant or consequence?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(1), pages 261-282, February.
    2. Josselin Thuilliez & Nouhoum Touré, 2024. "Opinions and vaccination during an epidemic," Post-Print hal-04490900, HAL.
    3. Josselin Thuilliez & Nouhoum Touré, 2024. "Opinions and vaccination during an epidemic," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-04490900, HAL.

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    More about this item

    JEL classification:

    • E1 - Macroeconomics and Monetary Economics - - General Aggregative Models
    • H0 - Public Economics - - General
    • I1 - Health, Education, and Welfare - - Health
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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