  The Schelling model of segregation between two groups of residential agents
(Schelling 1971; Schelling 1978) reflects the most abstract view of the
non-economic forces of residential migrations: be close to people of 'your
own'. The model assumes that the residential agent, located in the neighborhood
where the fraction of 'friends' is less than a predefined threshold value F,
tries to relocate to a neighborhood for which this fraction is above F. It is
well known that for the equal groups, depending on F, Schelling's residential
pattern converges either to complete integration (random pattern) or
segregation. We investigate Schelling model pattern dynamics as dependent on F,
the ratio of the group numbers and the size of the neighborhood and demonstrate
that the traditional integrate-segregate dichotomy is incomplete. In case of
unequal groups, there exists the wide interval of the F-values that entails the
third persistent residential pattern, in which part of the majority population
segregates, while the rest remains integrated with the minority. We also
demonstrate that Schelling model dynamics essentially depends on the
description of agents' residential behavior. To obtain sociologically
meaningful results, the agents should be satisficers, and the fraction of the
agents who relocate irrespective of the neighborhood state should be non-zero.
