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Working Paper
Optimal Management of an Epidemic: Lockdown, Vaccine and Value of Life
This paper analyzes the optimal management of a pandemic (stay-at-home and vaccination policies) in a dynamic model. The optimal lockdown policies respond to the spread of the virus with significant restrictions to employment, followed by partial loosening before the peak of the epidemic. Upon the availability of a vaccine, the optimal vaccination policy has an almost bang-bang property, despite the loss of immunity of the vaccinated: vaccinate at the highest possible rate, and then rapidly converge to the steady state. The model illustrates interesting trade-offs as it implies that lower ...