Models of tolerant threshold behavior (from T. Schelling to M. Granovetter)

This paper considers the models of tolerance originating from the well-known Schelling's publication. It is demonstrated that tolerant threshold behavior (including Schelling's model) can be reduced to Granovetter's model with a definite threshold distribution function. We study a model describing competition within a group simultaneously with absolute sympathy for an opposite group (a sort of converse tolerance). These two types of behavior are examined in continuous time, taking into account the effects of forgetting and delay that cause damped and sustained oscillating processes.