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Published in: Dynamic Games and Applications 1/2022

04-01-2022

Epidemic Spreading and Equilibrium Social Distancing in Heterogeneous Networks

Authors: Hamed Amini, Andreea Minca

Published in: Dynamic Games and Applications | Issue 1/2022

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Abstract

We study a multi-type SIR epidemic process within a heterogeneous population that interacts through a network. We base social contact on a random graph with given vertex degrees, and we give limit theorems on the fraction of infected individuals. For given social distancing individual strategies, we establish the epidemic reproduction number \(\mathfrak {R}_0\), which can be used to identify network vulnerability and inform vaccination policies. In the second part of the paper, we study the equilibrium of the social distancing game. Individuals choose their social distancing level according to an anticipated global infection rate, which must equal the actual infection rate following their choices. We give conditions for the existence and uniqueness of an equilibrium. In the case of random regular graphs, we show that voluntary social distancing will always be socially sub-optimal.

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Metadata
Title
Epidemic Spreading and Equilibrium Social Distancing in Heterogeneous Networks
Authors
Hamed Amini
Andreea Minca
Publication date
04-01-2022
Publisher
Springer US
Published in
Dynamic Games and Applications / Issue 1/2022
Print ISSN: 2153-0785
Electronic ISSN: 2153-0793
DOI
https://doi.org/10.1007/s13235-021-00411-1

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