Krzysztof Kułakowski, Piotr Gronek, Alfio Borzi

Theory of integration has been described by Peter Blau more than 50 years ago [1], but it is only recently when a computational model has been proposed [2]. In this model, agents praise or critique each other, what influences their social status and raise positive or negative emotions. Here we develop a mean field version of the approach. Namely, the active and passive roles (praising and being praised, etc.) are decoupled in the model. As in [2], we observe a phase transition from friendly to hostile emotions in the space of parameters. For both phases, we investigate the time dependence of the distribution of social status. We observe a diffusive spread, supplemented by a phase-dependent drift [3]. The role of self-deprecating strategy is discussed.

[1] P.M. Blau, Exchange and Power in Social Life, Wiley and Sons, New York, 1964.

[2] M. J. Krawczyk, K. Kułakowski, Paradox of integration—a computational model, Physica A 468 (2017) 409.

[3] K. Kulakowski, P. Gronek, A. Borzi, Paradox of integration – mean field approach, to be published.