This paper develops a novel competition criterion for evaluating institutional schemes. Roughly, this criterion says that one institutional scheme is normatively superior to another to the extent that the former would engender more widespread political competition than the latter. I show that this criterion should be endorsed by both global egalitarians and their statist rivals, as it follows from their common commitment to the moral equality of all persons. I illustrate the normative import of the competition criterion by exploring its potential implications for the scope of egalitarian principles of distributive justice. In particular, I highlight the challenges it raises for global egalitarians' efforts to justify extending the scope of egalitarian justice beyond the state.