A significant part of contemporary social ontology has been focused on understanding forms of collective intentionality. It is suggested in this paper that the contested nature of some institutional matters makes this kind of approach problematic, and instead an alternative approach is developed, one that is oriented towards a micro-level analysis of the institutional constraints that we face in everyday life and which can make sense of how there can be institutional facts that are deeply contested and yet still real. The model is applied to two main examples, sexism and racism, and it is argued that on this approach it can make sense to understand both of them as institutions in our societies.