This is the online appendix for "Full Surplus Extraction and within-period Ex Post Implementation in Dynamic Environments."We study the properties of the information structure that guarantee full surplus extraction and implementation of allocation rules in dynamic environments. Exploiting the intertemporal correlation of agents' types, we propose a condition for the existence of a within-period ex post incentive compatible mechanism that leaves no information rent. The concepts of strong- and weak-detectability suggested in this paper turn out to be crucial for achieving this goal. Our results suggest that the assumptions needed for private information to confer a positive rent might be stronger when we consider dynamic environments.The paper may be found at http://ssrn.com/abstract=2382416.