Transegalitarian

Rather than attempt to revive these encumbered terms, I prefer to use Clark and Blake's (1989) term “transegalitarian” to refer to societies that are neither egalitarian nor politically stratified (“politically stratified” societies include chiefdoms with relatively fixed classes and a hierarchical settlement pattern).

Source: wiktionary

These characteristics […] match those employed by anthropologists as M. Sahlins to explain the ‘big-man’ concept⁴¹—but see⁴² for a critique. This concept, together with that of ‘aggrandizers’ in transegalitarian societies⁴³ has been used within the context of Late Neolithic and Copper Age Iberia^(44,45).

Source: wiktionary