This note studies (full) implementation of social choice functions under complete information in (correlated) rationalizable strategies. The monotonicity condition shown by Maskin (1999) to be necessary for Nash implementation is also necessary under the more stringent solution concept. We show that it is also suﬀicient under a mild “no worst alternative” condition. In particular, no economic condition is required.
Bergemann, Dirk and Morris, Stephen, "Rationalizable Implementation" (2009). Cowles Foundation Discussion Papers. 2014.