A Simple Planning Problem for COVID-19 Lockdown

Working Paper: CEPR ID: DP14658

Authors: Francesco Lippi; Fernando Alvarez; David Argente

Abstract: We study the optimal lockdown policy for a planner who controls the fatalities of a pandemic while minimizing the output costs of the lockdown. The policy depends on the fraction of infected and susceptible in the population, prescribing a severe lockdown beginning two weeks after the outbreak, covering 60% of the population after a month, and gradually withdrawing to 20% of the population after 3 months. The intensity of the optimal lockdown depends on the gradient of the fatality rate with respect to the infected, and the availability of antibody testing that yields a welfare gain of 2% of GDP.

Keywords: lockdown; quarantine; epidemic control; dynamic programming

JEL Codes: I10; I18; C61


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
severe lockdown (H77)minimized fatalities (H84)
fraction of infected individuals (I12)fatalities (J17)
availability of antibody testing (C12)welfare gain (D69)
value of statistical life (J17)optimal lockdown duration and intensity (C41)
higher fatality rate (I12)necessity for stringent lockdown measures (H12)
constant fatality rate (J17)reduction or elimination of lockdowns (F69)

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