Dominance hierarchies have been visually represented in several ways, but most leave it difficult to quickly understand complex interactions between multiple entities in a community. Here we propose a new way to visually represent the hierarchy of dominance between entities in such systems called an “agonistic diagram”. We demonstrate this method using data from nectar-feeding bird communities in Australia and America, then using data from inquiline ants, European Badgers, and urban cats. The advantages of using agonistic diagrams are: (1) that the agonistic diagram can be compared visually with other interaction diagrams in related fields, like mutualism, and (2) that the analytical tools used in other fields can be used to assess agonistic networks. Thus, agonistic networks can be quantified in new ways, making it possible to obtain with relatively minor changes, automated agonistic diagrams from the computational programs and ecological metrics that are currently used to understand mutualistic interactions. This includes metrics of nestedness, modularity, and robustness, the identity of core and peripheral species, and the effects of extinction on networks, among other information.