Score contribution per author:
α: calibrated so average coauthorship-adjusted count equals average raw count
This paper generalizes two theorems in Campbell and Walker (1990), which is based on weak upper continuity. A new property, called partial upper continuity, is shown to be sufficient for representation and existence of a maximal element. Noting that transfer weak upper continuity (Tian and Zhou, 1995) characterizes the existence of a maximal element, we show it is not strong enough to guarantee representation.