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Coevolution of dynamical states and interactions in dynamic networks

Martin G. Zimmermann·Victor M. Eguiluz·Maxi San Miguel
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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, where 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.

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Martin G. Zimmermann, Victor M. Eguiluz, Maxi San Miguel. 2004-05-17. Coevolution of dynamical states and interactions in dynamic networks. https://doi.org/10.1103/physreve.69.065102

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