Table 1 Comparative statics of the equilibrium analysis. These describe how optimal contact rates vary with the other parameters, evaluated under the assumption that a symmetric Nash equilibrium exists such that \(\beta _{i}=\beta _{H}\) for all healthy and \(\beta _{i}=\beta _{S}\) for all sick. See Supplementary Information ‘Comparative Statics Derivations’ for details.

From: Endogenous social distancing and its underappreciated impact on the epidemic curve

A marginal increase in ...

... leads to ...

Social distancing of healthy

Less social distancing of sick

Social distancing of sick

Less social distancing of healthy

Size of the healthy population

More social distancing of sick\(^{!}\)

Size of the sick population

More social distancing of healthy\(^{!}\)

Pro-social concern of the sick

More social distancing of sick

Dear of disease of the healthy

More social distancing of healthy*

  1. *Present in the model by Ref.45. The other effects are new
  2. \(^{!}\)Contrary to imitation, herding, etc. as proposed, for example, in11,59.