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Emergent collective group processes and capabilities have been studiedthrough analysis of transactive memory, measures of group task performance, andgroup intelligence, among others. In their approach to collective behaviors,these approaches transcend traditional studies of group decision making thatfocus on how individual preferences combine through power relationships, socialchoice by voting, negotiation and game theory. Understanding more generally howindividuals contribute to group effectiveness is important to a broad set ofsocial challenges. Here we formalize a dynamic theory of interpersonalcommunications that classifies individual acts, sequences of actions, groupbehavioral patterns, and individuals engaged in group decision making. Groupdecision making occurs through a sequence of communications that conveypersonal attitudes and preferences among members of the group. The resultingformalism is relevant to psychosocial behavior analysis, rules of order,organizational structures and personality types, as well as formalized systemssuch as social choice theory. More centrally, it provides a framework forquantifying and even anticipating the structure of informal dialog, allowingspecific conversations to be coded and analyzed in relation to a quantitativemodel of the participating individuals and the parameters that govern theirinteractions.

A Mathematical Theory of Interpersonal Interactions and Group Behavior