IDEAS home Printed from https://ideas.repec.org/p/cem/doctra/734.html
   My bibliography  Save this paper

A SIR Macro Model: Comparing the Decentralized Economy and the Optimal Policy

Author

Listed:
  • Alejandro Rodríguez

Abstract

We present a Simple SIR Macro Model to study the economic impact of an epidemic in a model were agent types are unobservable. We solve for the decentralized economy equilibrium and for optimal solution (subject to the constraint that the planner cannot differentiate between agent types). We find that decentralized economy produces an endogenous lockdown in which economic activity decreases. We find that the decentralized economy will begin its lockdown sooner than what the optimal policy prescribes because agents have an incentive to selfishly avoid infection while waiting for others to get infected, recover and contribute to herd-immunity. The optimal policy in this model is not necessarily about forcing people to stay at home but to force people to get infected early on.

Suggested Citation

  • Alejandro Rodríguez, 2020. "A SIR Macro Model: Comparing the Decentralized Economy and the Optimal Policy," CEMA Working Papers: Serie Documentos de Trabajo. 734, Universidad del CEMA.
    • Handle: RePEc:cem:doctra:734
    as

    Download full text from publisher

    File URL: https://ucema.edu.ar/publicaciones/download/documentos/734.pdf
    Download Restriction: no
    ---><---

    Citations

    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

    More about this item

    Keywords

    Epidemic; COVID-19; recessions; lockdown; SIR macro model;
    All these keywords.

    JEL classification:

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

    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:cem:doctra:734. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Valeria Dowding (email available below). General contact details of provider: https://edirc.repec.org/data/cemaaar.html .

    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.