Self-Organized Societies: On the Sakoda Model of Social Interactions

Figure 3

(Color online) classification of the attractors for different -matrices according to the and plane. The precise -matrices are given in Table 1. The 25 numerical simulations were done in a lattice with random initial configurations and . As expected from the energy expansion (6), the diagonal splits roughly the segregation-like and the aggregation-like patterns: / segregation behavior is observed below this line, while a heterogeneous attraction behavior is mostly observed above this line. We highlight the following social structures: segregation (S1), crossroads (S2), mutual suspicion (S3), social workers (S5), husband and wife (S6), boys and girls (S7), inclusion (S8), individualism (S9), and exclusion (S10), which are representative of the collective behavior.