 Myerson (1995) showed that an abstract voting rule is an abstract scoring rule if and only if it satisfies Reinforcement, Universal Domain (i.e. it is defined for all anonymous profiles), a version of the Neutrality property (adapted to the more abstract setting), and the Continuity property, which is called Overwhelming Majority. Pivato (2013) generalizes this result, and Gaertner and Xu (2012) provide a related characterization result (using different properties). Pivato (2014) characterizes Formal Utilitarian and Range Voting within the class of abstract scoring rules, and Mace (2018) extends this approach to cover a wider class of grading voting methods (including Majority Judgement). 