Abstract. In this paper, I survey the recent and rapidly increasing theoretical literature using the brand-new approach in embedding oligopolistic competition in general equilibrium, as designed by J. Peter Neary. First, I introduce the reader to Neary's approach, by describing the main ingredients. Then, I present a comprehensive set of studies that, over the last decade, apply this approach in different contexts, most of which are in open economy, and I examine the relevant outcomes. Although the theoretical literature has generously advanced, there is a lack of research on the empirical side, which would be an important area for future research besides theoretical extensions, some of which I highlight in the conclusions.