Geodesic
Numerical simulation of behavior strategies evolution in network structures
Matematičeskoe modelirovanie, Tome 30 (2018) no. 6, pp. 117-133

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A model of behavior strategies evolution in social networks with arbitrary topology is proposed. The model is formalized as a discrete dynamical system on graph, which defines the scheme of possible interactions between elements of the system. Typical evolutionary scenarios are described on qualitative level. A simple generalization of the model, which allows to model evolution of graph topology induced by elements dynamics, is also discussed. Applications of the proposed model to the problem of corruption simulation are considered.
Keywords: coupled maps, mathematical sociology, graph theory. 
@article{MM_2018_30_6_a6,
     author = {D. A. Zenyuk and G. G. Malinetsky and D. S. Faller},
     title = {Numerical simulation of behavior strategies evolution in network structures},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {117--133},
     publisher = {mathdoc},
     volume = {30},
     number = {6},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2018_30_6_a6/}
}
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D. A. Zenyuk; G. G. Malinetsky; D. S. Faller. Numerical simulation of behavior strategies evolution in network structures. Matematičeskoe modelirovanie, Tome 30 (2018) no. 6, pp. 117-133. http://geodesic.mathdoc.fr/item/MM_2018_30_6_a6/