We embed a lockdown choice in a simplified epidemiological model and derive formulas for the optimal lockdown intensity and duration. The optimal policy re- ects the rate of time preference, epidemiological factors, the hazard rate of vaccine discovery, learning effects in the health care...

We contrast the canonical epidemiological SIR model due to Kermack and McKendrick (1927) with more tractable alternatives that offer similar degrees of "realism" and exibility. We provide results connecting the different models which can be exploited for calibration purposes. We use the expected...

We propose a exible model of infectious dynamics with a single endogenous state variable and economic choices. We characterize equilibrium, optimal outcomes, static and dynamic externalities, and prove the following: (i) A lockdown generically is followed by policies to stimulate activity. (ii)...

We develop a flexible single-state model to represent tradeoffs between infections and activity during the early phase of an epidemic. We prove that optimal policy is continuous in the state but discontinuous in the deterministic arrival date of a cure; optimal lockdowns are followed by stimulus...