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Open Access item Co-evolution of dynamical states and interactions in dynamic networks

Authors:Zimmermann, Martin G.
Eguíluz, Víctor M.
San Miguel, Maxi
Keywords:[PACS] Complex Systems: Networks and genealogical trees, [PACS] Decision theory and game theory, [PACS] Dynamics of social systems, [PACS] Social and economic systems
Issue Date:11-Jun-2004
Publisher:American Physical Society
Citation:Physical Review E 69, 065102 (2004)
Abstract:We explore the coupled dynamics of the internal states of a set of interacting elements and the network of interactions among them. Interactions are modeled by a spatial game and the network of interaction links evolves adapting to the outcome of the game. As an example, we consider a model of cooperation in which the adaptation is shown to facilitate the formation of a hierarchical interaction network that sustains a highly cooperative stationary state. The resulting network has the characteristics of a small world network when a mechanism of local neighbor selection is introduced in the adaptive network dynamics. The highly connected nodes in the hierarchical structure of the network play a leading role in the stability of the network. Perturbations acting on the state of these special nodes trigger global avalanches leading to complete network reorganization.
Description:4 pages, 5 figures.-- PACS nrs.: 89.75.Hc, 02.50.Le, 87.23.Ge, 89.65.−s.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0405370
Publisher version (URL):http://dx.doi.org/10.1103/PhysRevE.69.065102
Appears in Collections:(IFISC) Artículos

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