We investigate the strategic behavior of a large population of agents who
decide whether to adopt a costly partially effective protection or remain
unprotected against the susceptible-infected-susceptible epidemic. In contrast
with most prior works on epidemic games, we assume that the agents are not
aware of their true infection status while making decisions. We adopt the
Bayesian persuasion framework where the agents receive a noisy signal regarding
their true infection status, and maximize their expected utility computed using
the posterior probability of being infected conditioned on the received signal.
We completely characterize the stationary Nash equilibrium of this setting, and
identify conditions under which partial information disclosure leads to a
smaller proportion of infected individuals at the equilibrium compared to full
information disclosure, and vice versa