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Coevolution of dynamical states and interactions in dynamic networks
Open accessAbstract
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.
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Cites
Error and attack tolerance of complex networks
Albert, R., Jeong, H., & Barabási, A.-L. (2000) · Nature · doi:10.1038/35019019 · Cited by 7,534
Evolutionary Games and Population Dynamics
Hofbauer, J., & Sigmund, K. (1998) · doi:10.1017/cbo9781139173179 · Cited by 5,502
Cited by
Statistical physics of social dynamics
Castellano, C., Fortunato, S., & Loreto, V. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.591 · Cited by 4,119
Critical phenomena in complex networks
Dorogovtsev, S. N., Goltsev, A. V., & Mendes, J. F. F. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1275 · Cited by 2,220
Coevolution of Strategy and Structure in Complex Networks with Dynamical Linking
Pacheco, J. M., Traulsen, A., & Nowak, M. A. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.258103 · Cited by 697
Dynamic social networks promote cooperation in experiments with humans
Rand, D. G., Arbesman, S., & Christakis, N. A. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1108243108 · Cited by 653
Reputation-based partner choice promotes cooperation in social networks
Fu, F., Hauert, C., Nowak, M. A., & Wang, L. (2008) · Physical Review E · doi:10.1103/physreve.78.026117 · Cited by 682
Metadata
- Authors
- Zimmermann, M. G., Eguíluz, V. M., & San Miguel, M.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2004-06-11
- Volume
- 69
- Issue
- 6
- Pages
- 065102-065102
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2064932793
- Cited by
- 504
- References
- 2
- FWCI
- 55.72
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Zimmermann, M. G., Eguíluz, V. M., & San Miguel, M. (2004). Coevolution of dynamical states and interactions in dynamic networks. Physical Review E. https://doi.org/10.1103/physreve.69.065102
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
