Paradox of Integration — Cellular Automata Approach
K. Malarz, K. Kułakowski
AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, al. Mickiewicza 30, 30-059 Kraków, Poland
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We discuss the self-deprecating strategy introduced by Peter Blau as one of stages of the process of social integration. Recently we have introduced a two-dimensional space of status, real and surface one (A and B), and we have demonstrated that with this setup, the self-deprecating strategy efficiently prevents the rejection [K. Malarz, K. Kułakowski, Int. J. Mod. Phys. C 30, 1950040 (2019)]. There, the process of reducing the conflict was described by master equations, i.e., a set of differential equations describing evolution of density v(A,B) of actors of status (A,B). Here, we reformulate the problem in terms of probabilistic cellular automata. The obtained results for number n(A,B) of actors of status (A,B) are qualitatively the same as in the previous approach, both for synchronous and asynchronous version of the automaton. Namely, an enhancement of the surface status compensates a deficiency of the real one.

DOI:10.12693/APhysPolA.138.60
topics: self-deprecating strategy, cellular automata