Hölder Continuous Implementation

Building upon the classical concept of H older continuity and the notion of \continuous implementation"introduced in Oury and Tercieux (2009), we de ne H older continuous implementation. We show that, under a richness assumption on the payo pro les (associated with outcomes), the following full characterization result holds for nite mechanisms: a social choice function is H older continuously implementable if and only if it is fully implementable in rationalizable messages.no