Rational social distancing in epidemics with uncertain vaccination timing.

During epidemics people may reduce their social and economic activity to lower their risk of infection. Such social distancing strategies will depend on information about the course of the epidemic but also on when they expect the epidemic to end, for instance due to vaccination. Typically it is dif...

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Main Authors: Simon K Schnyder, John J Molina, Ryoichi Yamamoto, Matthew S Turner
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2023-01-01
Series:PLoS ONE
Online Access:https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0288963&type=printable
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author Simon K Schnyder
John J Molina
Ryoichi Yamamoto
Matthew S Turner
author_facet Simon K Schnyder
John J Molina
Ryoichi Yamamoto
Matthew S Turner
author_sort Simon K Schnyder
collection DOAJ
description During epidemics people may reduce their social and economic activity to lower their risk of infection. Such social distancing strategies will depend on information about the course of the epidemic but also on when they expect the epidemic to end, for instance due to vaccination. Typically it is difficult to make optimal decisions, because the available information is incomplete and uncertain. Here, we show how optimal decision-making depends on information about vaccination timing in a differential game in which individual decision-making gives rise to Nash equilibria, and the arrival of the vaccine is described by a probability distribution. We predict stronger social distancing the earlier the vaccination is expected and also the more sharply peaked its probability distribution. In particular, equilibrium social distancing only meaningfully deviates from the no-vaccination equilibrium course if the vaccine is expected to arrive before the epidemic would have run its course. We demonstrate how the probability distribution of the vaccination time acts as a generalised form of discounting, with the special case of an exponential vaccination time distribution directly corresponding to regular exponential discounting.
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spelling doaj.art-d1ae8aabf152407a9507a0fc0ca7367f2023-11-04T05:33:37ZengPublic Library of Science (PLoS)PLoS ONE1932-62032023-01-01187e028896310.1371/journal.pone.0288963Rational social distancing in epidemics with uncertain vaccination timing.Simon K SchnyderJohn J MolinaRyoichi YamamotoMatthew S TurnerDuring epidemics people may reduce their social and economic activity to lower their risk of infection. Such social distancing strategies will depend on information about the course of the epidemic but also on when they expect the epidemic to end, for instance due to vaccination. Typically it is difficult to make optimal decisions, because the available information is incomplete and uncertain. Here, we show how optimal decision-making depends on information about vaccination timing in a differential game in which individual decision-making gives rise to Nash equilibria, and the arrival of the vaccine is described by a probability distribution. We predict stronger social distancing the earlier the vaccination is expected and also the more sharply peaked its probability distribution. In particular, equilibrium social distancing only meaningfully deviates from the no-vaccination equilibrium course if the vaccine is expected to arrive before the epidemic would have run its course. We demonstrate how the probability distribution of the vaccination time acts as a generalised form of discounting, with the special case of an exponential vaccination time distribution directly corresponding to regular exponential discounting.https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0288963&type=printable
spellingShingle Simon K Schnyder
John J Molina
Ryoichi Yamamoto
Matthew S Turner
Rational social distancing in epidemics with uncertain vaccination timing.
PLoS ONE
title Rational social distancing in epidemics with uncertain vaccination timing.
title_full Rational social distancing in epidemics with uncertain vaccination timing.
title_fullStr Rational social distancing in epidemics with uncertain vaccination timing.
title_full_unstemmed Rational social distancing in epidemics with uncertain vaccination timing.
title_short Rational social distancing in epidemics with uncertain vaccination timing.
title_sort rational social distancing in epidemics with uncertain vaccination timing
url https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0288963&type=printable
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