This paper examines the differential rewards of positions on baseball teams in relation to a functional theory of organizational stratification. The results indicate that rewards are best explained by multiplicative interaction between positions' contributions to team success (functional importance) and the exclusiveness-interchangeability of people and positions (uniqueness). The paper also indicates the amenability of other kinds of organizations to the same type of analysis, and concludes with a discussion of the (limited) possibilities of generalizing from such organizational studies to stratification at the societal level.