Małgorzata Krawczyk, Krzysztof Kułakowski

The paradoxical aspect of integration of a social group has been highlighted by Peter
Blau (Exchange and Power in Social Life, Wiley and Sons, 1964). During the integration process, the group members simultaneously compete for social status and play the role of the audience. Here we show that when the competition prevails over the desire of approval, a sharp transition breaks all friendly relations. However, as was described by Blau, people with high status are inclined to bother more with acceptance of others; this is achieved by praising others and revealing her/his own weak points. In our model, this action smooths the transition and improves interpersonal relations [1]. Results obtained within a mean-field formulation are also discussed.

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