Abstract

Social distancing is an effective strategy to mitigate the impact of infectious diseases. If sick or healthy, or both, predominantly socially distance, the epidemic curve flattens. Contact reductions may occur for different reasons during a pandemic including health-related mobility loss (severity of symptoms), duty of care for a member of a high-risk group, and forced quarantine. Other decisions to reduce contacts are of a more voluntary nature. In particular, sick people reduce contacts consciously to avoid infecting others, and healthy individuals reduce contacts in order to stay healthy. We use game theory to formalize the interaction of voluntary social distancing in a partially infected population. This improves the behavioral micro-foundations of epidemiological models, and predicts differential social distancing rates dependent on health status. The model’s key predictions in terms of comparative statics are derived, which concern changes and interactions between social distancing behaviors of sick and healthy. We fit the relevant parameters for endogenous social distancing to an epidemiological model with evidence from influenza waves to provide a benchmark for an epidemic curve with endogenous social distancing. Our results suggest that spreading similar in peak and case numbers to what partial immobilization of the population produces, yet quicker to pass, could occur endogenously. Going forward, eventual social distancing orders and lockdown policies should be benchmarked against more realistic epidemic models that take endogenous social distancing into account, rather than be driven by static, and therefore unrealistic, estimates for social mixing that intrinsically overestimate spreading.

Highlights

  • Social distancing is an effective strategy to mitigate the impact of infectious diseases

  • The interactive nature of behavioral change related to contact reductions and social distancing within a population during an infectious disease outbreak has not been explored in much detail, in particular not regarding the individual-level game-theoretic foundations of social distancing, and how these compare with real-world evidence

  • Progress in this direction ought to be made, because game-theoretic analyses have shown that interactions can crucially shape the epidemic ­curve[10,11,12,13], and modeling increasingly rests on rich assumptions regarding how individual behavior changes dynamically with the disease outbreak

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Summary

Introduction

Social distancing is an effective strategy to mitigate the impact of infectious diseases. The interactive nature of behavioral change related to contact reductions and social distancing within a population during an infectious disease outbreak (compared with ­vaccination[4,5,6,7], antiviral ­prophylaxis[8], and ­travel9) has not been explored in much detail, in particular not regarding the individual-level game-theoretic foundations of social distancing, and how these compare with real-world evidence. Progress in this direction ought to be made, because game-theoretic analyses have shown that interactions can crucially shape the epidemic ­curve[10,11,12,13], and modeling increasingly rests on rich assumptions regarding how individual behavior changes dynamically with the disease outbreak.

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