  In NIP theories, generically stable Keisler measures can be characterized in
several ways. We analyze these various forms of "generic stability" in
arbitrary theories. Among other things, we show that the standard definition of
generic stability for types coincides with the notion of a frequency
interpretation measure. We also give combinatorial examples of types in NSOP
theories that are finitely approximated but not generically stable, as well as
$\phi$-types in simple theories that are definable and finitely satisfiable in
a small model, but not finitely approximated. Our proofs demonstrate
interesting connections to classical results from Ramsey theory for finite
graphs and hypergraphs.
