Unanimity game ($u_K(S)=1_{\{K\subseteq S\}}$)

For a fixed nonempty coalition $K$, the simple cooperative game in which a coalition wins exactly when it contains $K$. Members of $K$ are exactly the veto players. It is a convex cooperative game: intersections of winning coalitions still contain $K$, and checking the remaining zero-one cases establishes the supermodular inequality. Full symmetry of players in a cooperative game forces $K=N$.