“…A vast literature exists on multi-agent dynamics in social networks, although mostly focused on consensus and cooperation (see, e.g., [16], [24], [25], [26], [27] and bibliographies therein). Yet, in social dynamics, a very important role is played by competition [4], [35]: social agents often have conflicting goals [8], [18], [23], compete for shared resources [7] (a well-studied phenomenon in ecology [3], [32]), or rival for supremacy in social networks [17], [34], races [9], [10], economy [6], [20], [21], [29] and politics [31]. Antagonistic interactions [1], [2], [22] can arise when an agent obstructs or undermines another in the fight for survival or supremacy.…”