The Economic Consequences of R̂ = 1: Towards a Workable Behavioural Epidemiological Model of Pandemics

25 Pages Posted: 4 Aug 2020 Last revised: 1 Jan 2025

See all articles by Joshua S. Gans

Joshua S. Gans

University of Toronto - Rotman School of Management; NBER

Date Written: July 2020

Abstract

This paper reviews the literature on incorporating behavioural elements into epidemiological models of pandemics. While modelling behaviour by forward-looking rational agents can provide some insight into the time paths of pandemics, the non-stationary nature of Susceptible-Infected-Removed (SIR) models of viral spread makes characterisation of resulting equilibria difficult. Here I posit a shortcut that can be deployed to allow for a tractable equilibrium model of pandemics with intuitive comparative statics and also a clear prediction that effective reproduction numbers (that is, R) will tend towards 1 in equilibrium. This motivates taking R̂=1 as an equilibrium starting point for analyses of pandemics with behavioural agents. The implications of this for the analysis of widespread testing, tracing, isolation and mask-use is discussed.

Suggested Citation

Gans, Joshua S., The Economic Consequences of R̂ = 1: Towards a Workable Behavioural Epidemiological Model of Pandemics (July 2020). NBER Working Paper No. w27632, Available at SSRN: https://ssrn.com/abstract=3665903

Joshua S. Gans (Contact Author)

University of Toronto - Rotman School of Management ( email )

Canada

HOME PAGE: http://www.joshuagans.com

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