This document summarizes the theory of international trade based on increasing returns to scale. It begins by explaining the assumptions of constant returns to scale in traditional trade models. It then describes how increasing returns to scale allow for mutually beneficial trade even between identical countries. Specifically, with increasing returns, countries can gain by each specializing in the production of a single good based on comparative advantage. This allows production at a larger scale, taking advantage of economies of scale. Gains from trade arise as countries exchange goods and achieve higher consumption.