  Does the class of linear orders have (one of the variants of) the so called
(lambda, kappa)-limit model? It is necessarily unique, and naturally assuming
some instances of G.C.H. we get some positive, i.e. existence results. More
generally, letting T be a complete first order theory and for simplicity assume
G.C.H., for regular lambda > kappa > |T| does T have (variants of) a
(lambda,kappa)-limit models, except for stable T? For some, yes, the theory of
dense linear order, for some, no. Moreover, for independent T we get negative,
i.e. non-existence results. We deal more with linear orders.
