Cross-Influence of Two Societies in Deterministic Evolutionary Game

We present a simple model that simulates the possible influence of one society on another. Specifically, two societies evolve deterministically according to the well-known Nowak–May spatial game with the addition of mutual influence through connections that reflect the current states of the societies. This may be related to the influence of a global information resource on the society. We calculate persistence as a characteristic of chaotic behavior. A particularly interesting and novel phenomenon is that the quasi-stationary state of one society can lead to chaotic behavior of its individual members under the influence of another society, while the society itself remains stable.