Socialism is a political ideology that proposes that the state should control the means of production to manage a planned economy. The possibility of realizing this thesis has been debated throughout the 20th century. The Fourth Industrial Revolution (4IR) includes technologies such as artificial intelligence or big data that could reopen the debate through the formulation of new digital models of planned economy. This qualitative research presents some theoretical models proposed in academia to update socialism in the 4IR. It describes (...) six new theoretical forms of digital socialism: Platform Economy, Socialist Feedback Infrastructure, Algorithmic Central Planning, Cyber-Communism, Fully Automated Luxury Communism (FALC), and Open Loop In Natura Economic Planning. The study concludes that the study of political ideologies and the debate about the future of society would benefit from further analysis of these models. (shrink)