  In this paper, we employ a hypergame framework to analyze the
single-leader-multiple-followers (SLMF) Stackelberg security game with two
typical misinformed situations: misperception and deception. We provide a
stability criterion with the help of hyper Nash equilibrium (HNE) to
investigate both strategic stability and cognitive stability of equilibria in
SLMF games with misinformation. In fact, we find mild stable conditions such
that the equilibria with misperception and deception can become HNE. Moreover,
we discuss the robustness of the equilibria to reveal whether players have the
ability to keep their profits under the influence of some misinformation.
