Economic and Social Institutions : Modelling the Evolution Paths for the Archaic Society
Evolution of society is considered to be a result of development of social reproduction systems. The leading role in this process is played by the development of the creative and active parts of society where package discoveries and inventions form the basis of the dominant technology of production. Our paper presents a complex economic model of the system with the social reproduction as a set of reproduction kernels and a net of reproduction cycles. We use mapping of permutations to graphs for demonstrating that the evolution of society can be represented as a sequence of nested sub-groups in group lattices. Evolution paths and their complexity can be evaluated using the graph theory and the complexity criteria. Our findings show that these complexities correspond to those of the spectrum of cycles of the collective economy so that social constants can be calculated and used to describe transition between evolution phases from the Mesolithic to Neolithic age. This allows us to reconstruct a group-lattice of the evolution of society using mathematical methods. (original abstract)
- Barkema, H. G., Chen, X. P., George, G., Luo, Y., & Tsui, A. S. (2015), West meets East: New concepts and theories, Academy of Management Journal, Vol. 58, No. 2, pp. 460-479.
- Bekhterev, V. M. (1993), VM Bekhterev's Collective Reflexology, Nova Science Pub Incorporated.
- Bourdieu, P. (1990), The Logic of Practice, Cambridge: Polity.
- Canevacci, M. (1992), Image accumulation and cultural syncretism, Theory, Culture & Society, Vol. 9, No. 3, pp. 95-110.
- Carver, T. (1998), The Postmodern Marx, Manchester: Manchester University Press.
- Donald, M. (1993), Human cognitive evolution: What we were, what we are becoming, Social Research, Vol. 60, No. 1, pp. 143-170.
- Grinchenko, S. N., & Shchapova, Y. L. (2010), Human history periodization models, Herald of the Russian Academy of Sciences, Vol. 80, No. 6, pp. 498-506.
- Harary, F., Palmer, E. M. (2014), Graphical enumeration, Elsevier.
- Lakic, S., Draskovic, M. (2015), Implications of Institutional Dispositions of Neoliberalism, Montenegrin Journal of Economics, 11(2): pp. 113-124.
- Malloy, C. E., & Malloy, W. W. (1998), Issues of culture in mathematics teaching and learning, The Urban Review, Vol. 30, No. 3, pp. 245-257.
- Rapaille, C. (2007), The culture code: An ingenious way to understand why people around the world live and buy as they do, Crown Publishing.
- Red'ko, V. (2014), Modeling of cognitive evolution: View from Artificial Intelligence, Logos, Vol. 97, No. 1, pp. 109-140.
- Sawamura, N. (2002), Local Spirit, Global Knowledge: a Japanese approach to knowledge development in international cooperation, Compare, Vol. 32, No. 3, pp. 339-348.
- Shvedovskiy V.A. O vychislenii social‟nyh konstant v modelirovanii evolyucii arhaichnogo sociuma // Prostranstvo i vremya, 4(14), M.: 2013, pp 72-80.
- Turchin, V. F (1977), The Phenomenon of Science: A Cybernetic Approach Human Evolution, New York: Columbia University Press.
- Walton, R. E., McKersie, R. B. (1965), A behavioral theory of labor negotiations: An analysis of a social interaction system, Cornell University Press.
- Wynn, T. (2002), Archaeology and cognitive evolution, Behavioral and Brain Sciences, Vol. 25, No. 3, pp. 389-402.