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I am interested in running simulations of social network changes over time. I would like the simulations to include changes in social ties and changes in actor covariates/attributes over time, and ideally the changes in ties and attributes of actors would be able to be influenced by the current social ties and attributes of the actors (i.e., making ties with actors who have similar attributes, and changing attributes to become similar to other actors with social ties).
Does anyone know of any references or starting places that describe mathematical or programmatic guides for doing this?
I was thinking of using a stocahstic actor-based modeling approach with unweighted, directional ties (a la Snijders, van de Bundt, & Steglich, 2010), but could use other types of graphs (e.g., with non-directional ties) as long as it allows the mutual influence of changes in social ties and changes in actor covariates to be modeled over time. I would be interested incorporating some common network effects like transitivity, reciprocity (if using directional ties), outdegree, and a few others that will create networks that could have some plausible resemblance to real-world networks.
Any references, program manuals, names to look into, etc. are greatly appreciated.
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