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Epidemic Spreading and Equilibrium Social Distancing in Heterogeneous Networks

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  • Hamed Amini

    (Georgia State University)

  • Andreea Minca

    (Cornell University)

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 $$\mathfrak {R}_0$$ 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.

Suggested Citation

  • Hamed Amini & Andreea Minca, 2022. "Epidemic Spreading and Equilibrium Social Distancing in Heterogeneous Networks," Dynamic Games and Applications, Springer, vol. 12(1), pages 258-287, March.
    • Handle: RePEc:spr:dyngam:v:12:y:2022:i:1:d:10.1007_s13235-021-00411-1
    DOI: 10.1007/s13235-021-00411-1
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    References listed on IDEAS

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    Cited by:

    1. Hamed Amini, 2023. "Contagion risks and security investment in directed networks," Mathematics and Financial Economics, Springer, volume 17, number 5, June.

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