This essay offers a new way of visualizing structures of collective power based on gender, emphasizing the role of social institutions in shaping women's ability to bargain over the distribution of the gains from cooperation with men. It makes the case for an interdisciplinary conceptualization of bargaining power that emphasizes the role of imperfect information and inefficient outcomes, and explains important parallels between structures of collective power based on gender, age, and sexuality, and those based on other dimensions of socially assigned group membership such as race, ethnicity, citizenship, and class. Recognition of the importance of reproductive work helps advance the project of developing intersectional political economy.