E-state structuralism is a theoretical method that analyzes the format
ion and dissolution of network ties by merging the abstract core of ex
pectation states theory with social network analysis. The method has b
een used to model dominance structure formation in infra-human populat
ions. The work reported in this paper retains the specific problem foc
us on dominance while generalizing E-state structuralism in two direct
ions. First, we incorporate potential parallelism in attack processes,
and second, we allow for non-complementarity in the formation of orie
ntational dominance/deference E-states. We analyze the effects of both
these generalizations on the developments of stable forms of dominanc
e structures. We find that under the more general assumptions, stable
structures include various forms of coalitions in addition to the usua
l cycles and hierarchies. We view this generalized version of E-state
structuralism as suggestive of ways to model the development of social
structure in both infra-human and human populations.