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We analyze the SCARDO model in the case of the 3-element opinion space under specific constraints on the transition table parameters that allows to link the problem at stake to the case of the 2-element opinion space that has been thoroughly studied previously. We characterize the properties of fixed points and support our findings by numerical experiments. Further, we manage to find out those settings that ensure the system almost surely reaches a specific domain in the phase space, after which its behavior can be predicted analytically. [ABSTRACT FROM AUTHOR]

The paper presents the analysis of the SCARDO model in the case of the binary opinion space. The model itself and the conditions under which the analysis is performed are described and discussed in details. Analytical solutions are found for the mean field approximation. The fixed points as well as their stability properties are characterized. Furthermore, we precisely describe the hyperplane in the parameter space that defines which opinion will gather more supporters. Extensive computational experiments are performed to demonstrate the applicability of our theoretical results. Experiments suggest that the mean-field approximation can fairly accurately predict the behavior of the model provided there is a nonzero probability of anticonformity-type opinion changes. At the end of the paper, we outline the possible direction for future studies. [ABSTRACT FROM AUTHOR]