Abstract
We identify a class of discontinuous normal-form games whose members possess strategically stable sets, defined according to an infinite-game extension of
Kohlberg and Mertens’s (1986) equilibrium concept, and show that, generically, a set is stable if and only if it contains a single Nash equilibrium.
► An infinite-game extension of the notion of strategic stability is studied. ► Stable sets of perfect equilibria exist in discontinuous normal-form games. ► Generically, a set is stable if and only if it contains a single Nash equilibrium.