Digitalisation is having a profound impact on social and economic activity. While often benefiting from a very long history of public investment in R&D, digitalisation has been largely driven by the private sector. However, the combined adoption of new digital technologies, increased reliance upon new data sources, and use of advanced analytic methods hold significant potential to: i) improve the effectiveness and enforcement of public policies; ii) enable innovative policy design and impact evaluation, and; iii) expand citizen and stakeholder engagement in policy making and implementation. These benefits are likely to be greatest in policy domains where outcomes are only observable at significant cost and/or where there is significant heteroregeneity in responses across different agents. In this paper we provide a review of initiatives across a number of fields including: competition, education, environment, innovation, and taxation.