Opinion spreading and agent segregation on evolving networks

Abstract We study a stochastic model where the distribution of opinions in a population of agents coevolves with their interaction network. Interaction between agents is enhanced or penalized according to whether they succeed at reaching an agreement or not. The system evolves towards a state where the network’s structure and the opinion distribution is frozen, and the population is divided into disconnected communities. The structural properties of the population in the final state vary considerably with the control parameters. By means of numerical simulations, we give a detailed account of such properties, as well as of the final opinion distribution. We also provide approximate analytical results which explain some of the numerical results and clarify their origin.

[1]  Moshe Levy,et al.  Microscopic Simulation of Financial Markets , 2000 .

[2]  M. Newman,et al.  Nonequilibrium phase transition in the coevolution of networks and opinions. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Krzysztof Suchecki,et al.  Voter model dynamics in complex networks: Role of dimensionality, disorder, and degree distribution. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Gesine Reinert,et al.  Small worlds , 2001, Random Struct. Algorithms.

[5]  C. Gardiner.  Handbook of Stochastic Methods , 1983 .

[6]  Pulin Gong,et al.  Evolution to a small-world network with chaotic units , 2004 .

[7]  Albert-László Barabási,et al.  Statistical mechanics of complex networks , 2001, ArXiv.

[8]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[9]  D. Zanette,et al.  Coevolution of agents and networks: Opinion spreading and community disconnection , 2006, cond-mat/0603295.

[10]  Matteo Marsili,et al.  Emergence and resilience of social networks : a general theoretical framework. Commentary , 2005 .

[11]  M. Weigt,et al.  On the properties of small-world network models , 1999, cond-mat/9903411.

[12]  V. Latora,et al.  Complex networks: Structure and dynamics , 2006 .

[13]  L. White,et al.  The Evolution of Culture , 1999 .

[14]  H. Hinrichsen,et al.  Critical coarsening without surface tension: the universality class of the voter model. , 2001, Physical review letters.

[15]  Mark Newman,et al.  Detecting community structure in networks , 2004 .

[16]  Chris Knight,et al.  The evolution of culture : an interdisciplinary view , 2001 .

[17]  E. Runge,et al.  Theory of Rayleigh scattering using finite-dimension random-matrix theory , 2004 .

[18]  S. Boccaletti,et al.  Synchronization is enhanced in weighted complex networks. , 2005, Physical review letters.