Artículo
Zimmermann, M.G.; Eguíluz, V.M.; Miguel, M.S. "Coevolution of dynamical states and interactions in dynamic networks" (2004) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 69(6 2):065102-1-065102-4
Consulte la política de Acceso Abierto del editor
Abstract:
A setting of adaptive and evolving network, in which there is coevolution of the state of the elements in the nodes of the network and the interaction links defining the network, was analyzed. A model of cooperation in which the adaption was shown to facilitate the formation of a hierarchical interaction network that sustains a highly cooperative stationary state was developed. It was observed that the resulting network has features of a small world network when a mechanism of lower neighbor selection was applied in the adaptive network dynamics. The results show that the highly connected nodes in the hierarchical structure of the network presents stability of the network.
Registro:
| Documento: | Artículo |
| Título: | Coevolution of dynamical states and interactions in dynamic networks |
| Autor: | Zimmermann, M.G.; Eguíluz, V.M.; Miguel, M.S. |
| Filiación: | Inst. Mediter. de Estudios Avanzados, IMEDEA (CSIC-UIB), E-07071 Palma de Mallorca, Spain Departamento de Física, Universidad de Buenos Aires, Buenos Aires, Argentina Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, United States |
| Palabras clave: | Computer simulation; Economic and social effects; Mathematical models; Matrix algebra; Parameter estimation; Perturbation techniques; Probability; Telecommunication networks; Topology; Nash equilibrium; Network stability; Random networks; Spatiotemporal networks; Game theory |
| Año: | 2004 |
| Volumen: | 69 |
| Número: | 6 2 |
| Página de inicio: | 065102 |
| Página de fin: | 1-065102-4 |
| DOI: | http://dx.doi.org/10.1103/PhysRevE.69.065102 |
| Título revista: | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Título revista abreviado: | Phys. Rev. E Stat. Nonlinear Soft Matter Phys. |
| ISSN: | 15393755 |
| CODEN: | PLEEE |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v69_n62_p065102_Zimmermann |
Referencias:
- Watts, D.J., Strogatz, S.H., (1998) Nature (London), 393, p. 440
- Strogatz, S.H., (2001) Nature (London), 410, p. 268
- Albert, R., Barabási, A.-L., (2002) Rev. Mod. Phys., 74, p. 47
- Dorogovtsev, S.N., Mendes, J.F.F., (2002) Adv. Phys., 51, p. 1079
- Newman, M.E.J., (2003) SIAM Rev., 45, p. 167
- Skyrms, B., Perriantle, R., (2000) Proc. Natl. Acad. Sci. U.S.A., 97, p. 9340
- Weibull, J., (1996) Evolutionary Came Theory, , MIT University Press, Cambridge, MA
- Axelrod, R., (1984) The Evolution of Cooperation, , Basic Books, New York
- Nowak, M.A., May, R.M., (1992) Nature (London), 359, p. 826
- Nowak, M.A., May, R.M., (1993) Int. J. Bifurcation Chaos Appl. Sci. Eng., 3, p. 35
- Nowak, M.A., Bonhoeffer, S., May, R.M., (1994) Int. J. Bifurcation Chaos Appl. Sci. Eng., 4, p. 33
- Szabo, G., Toke, C., (1998) Phys. Rev. E, 58, p. 69
- Abramson, G., Kuperman, M., (2001) Phys. Rev. E, 63, p. 030901
- Ebel, H., Bornholdt, S., (2002) Phys. Rev. E, 66, p. 056118
- Kim, B.J., (2002) Phys. Rev. E, 66, p. 021907
- note; note; Hofbauer, J., Sigmund, K., (1998) Evolutionary Games and Population Dynamics, , Cambridge University Press, Cambridge, UK
- Lindgren, K., Nordahl, M.G., (1994) Physica D, 75, p. 292
- Schweitzer, F., Behera, L., Muehlenbein, H., (2002) Adv. Complex Syst., 5, p. 269
- Cohen, M., Riolo, R., Axelrod, R., The emergence of social organization in the prisoner's dilemma: How context-preservation and other factors promote cooperation (1999) Santa Fe Institute Working Paper 99-01-002
- H. Ebel and S. Bomholdt, e-print cond-mat/0211666; Jin, E.M., Girvan, M., Newman, M.E.J., (2001) Phys. Rev. E, 64, p. 046132
- Zimmermann, M.G., Eguíluz, V.M., Miguel, M.S., (2001) Economics with Heterogeneous Interacting Agents, , edited by A. Kirman and J.-B. Zimmermann (Springer, Berlin)
- Ravasz, E., Barabasi, A.-L., (2003) Phys. Rev. E, 67, p. 026112
- Jain, S., Krishna, S., (1998) Phys. Rev. Lett., 81, p. 5684
- (2001) Proc. Natl. Acad. Sci. U.S.A., 98, p. 543
- Watts, D.J., (2002) Proc. Natl. Acad. Sci. U.S.A., 99, p. 5766
- Albert, R., Jeong, H., Barabáasi, A.-L., (2000) Nature (London), 406, p. 378
- Cohen, R., Erez, K., Avraham, D., Havlin, S., (2000) Phys. Rev. Lett., 85, p. 4626
- (2001) Phys. Rev. Lett., 86, p. 3682
Citas:
---------- APA ----------
Zimmermann, M.G., Eguíluz, V.M. & Miguel, M.S. (2004) . Coevolution of dynamical states and interactions in dynamic networks. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 69(6 2), 065102-1-065102-4.http://dx.doi.org/10.1103/PhysRevE.69.065102
---------- CHICAGO ----------
Zimmermann, M.G., Eguíluz, V.M., Miguel, M.S. "Coevolution of dynamical states and interactions in dynamic networks" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 69, no. 6 2 (2004) : 065102-1-065102-4.http://dx.doi.org/10.1103/PhysRevE.69.065102
---------- MLA ----------
Zimmermann, M.G., Eguíluz, V.M., Miguel, M.S. "Coevolution of dynamical states and interactions in dynamic networks" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 69, no. 6 2, 2004, pp. 065102-1-065102-4.http://dx.doi.org/10.1103/PhysRevE.69.065102
---------- VANCOUVER ----------
Zimmermann, M.G., Eguíluz, V.M., Miguel, M.S. Coevolution of dynamical states and interactions in dynamic networks. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2004;69(6 2):065102-1-065102-4.http://dx.doi.org/10.1103/PhysRevE.69.065102
