Recognizing social rank as a third-party observer is an important social skill. With regard to dominance—the coercive form of social rank—infants expect the winner of a zero-sum conflict over one type of resource to win again when competing with the same agent over a different type of resource (Mascaro & Csibra, 2012). However, it is unclear whether preschoolers also expect dominant-subordinate roles to generalize across situations. The current study tested this question with preschoolers (3-5 years, n = 280, 140 female, USA, 80% White) and adults (n = 200, 99 female, USA, 75% White). Preschoolers and adults recognized the dominant puppet in two resource conflict situations (a toy to play with, a bench to sit on) in which one puppet won by force and the other lost (Exp. 1). Preschoolers did not expect the puppet who had been dominant in one situation (e.g. toy) to win again in a new situation (e.g. bench) (Exp. 2a and 2b). Adults, like infants, thought the dominant puppet would win again (Exp. 2b). When the concepts of dominance and fairness were primed (Exp. 3), preschoolers’ inferences about the winner diverged: Children who had been primed with dominance thought the subordinate would win, while those who had been primed with fairness responded at chance level. This finding, together with converging support from children’s justifications, suggests that preschoolers are particularly sensitive to the unfairness of dominance interactions, and indicates that this consideration affects their inferences about the stability of dominance.