Uniqueness of equilibrium in two-player asymmetric Tullock contests with intermediate discriminatory power

•We study uniqueness of equilibrium in two-player Tullock contests.•We study the case where the discriminatory power is in between 1 and 2.•We provide a different approach to establish the uniqueness.•The study fills up a remaining gap in equilibrium analysis in contests.

This paper provides a different approach to establish the uniqueness of equilibrium in Tullock contests between two players with asymmetric valuations, when the discriminatory power r is between 1 and 2. Our result complements that of Ewerhart (2017) in filling up the remaining gap in the literature on the uniqueness of equilibrium in two-player asymmetric Tullock contests.