Further remarks on strategic stability in plurality games

In this note we show that, for generic plurality games (i.e., voting games under plurality rule), an equilibrium that induces a mixed distribution over the outcomes (i.e., with two or more candidates elected with positive probability), is regular and, hence, a Mertens' stable set. Furthermore, we show that stronger equilibrium concepts, than stability, do not guarantee the existence of a solution for some generic plurality games. A final example shows the weakness of the simple sophisticated voting principle