Lack of equitable access at the higher levels of university is detrimental to individuals and more broadly to economic productivity and social cohesion. This paper considers the nature and extent of under-representation in postgraduate and higher degree study and proposes responses at both the institutional and policy levels. Particular focus is given to low socio-economic and regional students within the Australian context. Major causes of postgraduate inequity include the pipeline effect, which is fuelled by institutional stratification and low levels of institutional mobility. Moreover, the influence of financial barriers and limited cultural capital does not "wash out" during undergraduate study. Proposed institutional strategies include redirecting a proportion of equity scholarships to postgraduates, giving consideration to need in the allocation of postgraduate scholarships, and offering funded postgraduate places to selected disadvantaged students. At a policy level, suggestions include government targets for postgraduate participation, undergraduate debt remission, and increased postgraduate Commonwealth-supported places.