Dimensional and Neighbourhood Dependencies of Phase Transitions in the Axelrod Culture Dissemination Model

Ken A. Hawick


Culture dissemination, spatial model, spread


The spatial Axelrod model is a sociological system that can be studied quantitatively to investigate critical values of agent numbers and opinions to identify some of the complex interplay effects that arise when cultures meet and clash. We use an interdisciplinary mix of simulation programming techniques and complex systems measurements to investigate the effect of changing the spatial geometry, dimension and neighbourhood of locally interacting Axelrod agents that hold differing opinions or other sociological traits. We measure the change in the phase transition with the number of traits for two-, three- and for the first time, four-dimensional model systems. We find a near-linear relationship with dimension and the critical number of traits. We find that although hexagonal and triangular lattices have different critical trait numbers from the conventional square lattice, using nearest or next-nearest neighbours or both, does not have a significant effect.

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