Paradox of integration — mean field approach

Krzysztof Kułakowski, Piotr Gronek () and Alfio Borzì ()
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Krzysztof Kułakowski: Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland
Piotr Gronek: Faculty of Physics and Applied Computer Science, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland
Alfio Borzì: Institut für Mathematik, Universität Würzburg, Emil-Fischer-Strasse 30, 97074 Würzburg, Germany

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 11, 1-9

Abstract: Recently, a computational model has been proposed of the social integration, as described in sociological terms by Blau. In this model, actors praise or critique each other, and these actions influence their social status and raise negative or positive emotions. The role of a self-deprecating strategy of actors with high social status has also been discussed there. Here, we develop a mean field approach, where the active and passive roles (praising and being praised, etc.) are decoupled. The phase transition from friendly to hostile emotions has been reproduced, similarly to the previously applied purely computational approach. For both phases, we investigate the time dependence of the distribution of social status. There we observe a diffusive spread, which — after some transient time — appears to be limited from below or from above, depending on the phase. As a consequence, the mean status flows.

Keywords: Social systems; simulations; nonequilibrium processes; social integration (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0129183117501339

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