Theorists often claim that being bigger than one's counterparts offers advantages in multilateral negotiations. In this article, I examine that argument using data from negotiations in the United Nations General Assembly (UNGA). The article analyzes and compares the activity levels of smaller and larger states in international negotiations, and sheds light on the conditions under which the latter “punch below their weight.” My analysis indicates that size directly affects participation, but not success rates. Bigger states can better formulate national positions on a broad range of issues, enabling their diplomats to more actively participate in negotiations, while smaller states are absent more often. Activity is conducive to success, which helps bigger states. But not every negotiation strategy is equally effective. In the UNGA's one‐state, one‐vote context, bigger states are not able to systematically exert disproportionate influence despite their often superior financial resources and bargaining strategies.