This article presents a dynamic model of dyadic social interaction. It is shown that a set of simple deterministic arithmetic operations representing basic assumptions about social-involvement behavior can lead to a variety of complex outcomes, including asymptotically stable behavior, self-sustaining periodic behavior, and chaotic behavior. These outcomes illustrate the emergence of macroscopic interaction-level properties from microscopic individual-level rules.
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Eugene H. Buder (1991) studied this question.
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