In this article, we present Updatable Strategy Logic (USL), a multi-agent temporal logic which subsumes the main propositions in this area, such as ATL-ATL*, ATL_SC and SL. These logics allow to express the capabilities of agents to ensure the satisfaction of temporal properties. USL mainly differs from SL in two ways. Semantically, the notion of strategy composition is extended to enable an agent to refine her strategy, that is to update it without revoking it. Syntactically, a new operator, called ''unbinder'', is introduced: it allows an agent to explicitly revoke a strategy, whereas revocation is implicit in SL. We show that USL allows to express the notion of sustainable capability for an agent, i.e., a capability that still holds even after it has been employed. This makes USL strictly more expressive than SL. We also show that the model-checking problem for USL is decidable but non-elementary (as for SL), and that it is PSPACE-complete for its memory-less version.