Numerical Simulation of Cultural Value Conflict in Multicultural Societies

Abstract

This research investigates the mathematical modelling and numerical simulation of cultural value conflicts in multicultural communities by incorporating sociocultural dynamics into systems of nonlinear differential equations. Cultural conflicts, especially those arising from differing values, norms, and traditions, are intricate and dynamic occurrences, frequently intensified by heightened migration, globalization, and technological interconnectivity. This research presents a quantitative technique using system dynamics and agent-based modelling to simulate the temporal evolution of cultural conflicts, contrasting with prior qualitative sociological interpretations. This article quantitatively simulates cultural divergence and convergence by using known models in social physics and expanding upon Axelrod's framework for cultural dissemination across different intercultural contact settings. The research employs authenticated social data from the World Values Survey and census-derived demographic metrics to calibrate and verify the model. Findings indicate that the stability of value is highly contingent upon the intensity and tolerance of intercultural interactions. This research enhances policy planning by providing mathematical methods for predicting cultural polarization or integration in intricate societies.