PurposeThe improvement in the efficiency of public management leads to an increase in the quality of services, boosting confidence in institutions and thus generating a multiplier effect. This paper aims to update the literature on the data envelopment analysis (DEA), which uses a frontier methodology, for measuring the efficiency applied to the defence sector.Design/methodology/approachTwo main research areas are related through this study: Defence Economics and Efficiency and Productivity Analysis. The frontier methods for measuring technical efficiency are grouped into parametric, non-parametric and semi-parametric. The DEA literature review in the selected sector allows to identify three main fields of work that are discussed in detail.FindingsExisting empirical research has hardly applied bootstrapping methods to remove bias from the estimates. No empirical work has applied an analysis of efficiency determinants by the inclusion of exogenous variables.Originality/valueThe managerial implications of efficiency are numerous. A line of research is proposed to examine the extent to which efficiency improvements have an impact on reputation and, therefore, on the image of and confidence in institutions. The link between Defence Economics and Corruption Economics is also considered.