In this paper we show that in quasilinear economies the incentive compatible coarse core is non-empty if agents are informationally small in the sense of McLean and Postlewaite (2002) and the strict core in each state is non-empty.

Restricting attention to economic environments, we study implementation under perturbed better-response dynamics (BRD). A social choice function (SCF) is implementable in stochastically stable strategies of perturbed BRD whenever the only outcome supported by the stochastically stable strategies...