This is a nit pick, but much economic activity these days is nothing to do with alleviating scarcity and everything to do with introducing artificial scarcity where it didn't previously exist. See e.g. Intellectual property.
TheCowboy is right: Economics is still at its heart the study of the problem of scarcity.
Does it even matter? It matters if it means our fully automated jobless future is penury and starvation instead of the post-scarcity Culture we're looking forward to.