Abstract
The paper dev?lops the mathematical basis of stacked actor-network (SAN) approach in modeling a socio-economic and cultural dynamics. It attempts to avoid the idea of ‘guidance' of a given form of (social) life being modelled, which has long been dominating in traditional sociology. Using methods of discreet mathematics and stochastic finite automata approach, we provided initial mathematical formalization of agent and actor-network, the types of complexity in the actor-network and three basic types of graphs comprising SAN's minimal model, with further aim is to develop these models in the form of computer programs (software) and to test them on real sociological data.
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