Interacting social processes on interconnected networks
We propose and study a model for the interplay between two different dynamical processes -one for opinion formation and the other for decision making- on two interconnected networks A and B. The opinion dynamics on network A corresponds to that of the M-model, where the state of each agent can take...
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| Autores principales: | , , , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
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2016
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| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/85807 |
| Aporte de: |
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I19-R120-10915-85807 |
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dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Ciencias Exactas interconnected networks |
| spellingShingle |
Ciencias Exactas interconnected networks Alvarez Zuzek, Lucila G. La Rocca, Cristian E. Vazquez, Federico Braunstein, Lidia A. Interacting social processes on interconnected networks |
| topic_facet |
Ciencias Exactas interconnected networks |
| description |
We propose and study a model for the interplay between two different dynamical processes -one for opinion formation and the other for decision making- on two interconnected networks A and B. The opinion dynamics on network A corresponds to that of the M-model, where the state of each agent can take one of four possible values (S = -2,-1, 1, 2), describing its level of agreement on a given issue. The likelihood to become an extremist (S = ±2) or a moderate (S = ±1) is controlled by a reinforcement parameter r ≥ 0. The decision making dynamics on network B is akin to that of the Abrams-Strogatz model, where agents can be either in favor (S = +1) or against (S = -1) the issue. The probability that an agent changes its state is proportional to the fraction of neighbors that hold the opposite state raised to a power β. Starting from a polarized case scenario in which all agents of network A hold positive orientations while all agents of network B have a negative orientation, we explore the conditions under which one of the dynamics prevails over the other, imposing its initial orientation. We find that, for a given value of β, the two-network system reaches a consensus in the positive state (initial state of network A) when the reinforcement overcomes a crossover value r<SUP>∗</SUP>(β), while a negative consensus happens for r < r<SUP>∗</SUP>(β). In the r - β phase space, the system displays a transition at a critical threshold β<SUB>c</SUB>, from a coexistence of both orientations for β < β<SUB>c</SUB> to a dominance of one orientation for β > β<SUB>c</SUB>. We develop an analytical mean-field approach that gives an insight into these regimes and shows that both dynamics are equivalent along the crossover line (r<SUP>∗</SUP>, β<SUP>∗</SUP>). |
| format |
Articulo Articulo |
| author |
Alvarez Zuzek, Lucila G. La Rocca, Cristian E. Vazquez, Federico Braunstein, Lidia A. |
| author_facet |
Alvarez Zuzek, Lucila G. La Rocca, Cristian E. Vazquez, Federico Braunstein, Lidia A. |
| author_sort |
Alvarez Zuzek, Lucila G. |
| title |
Interacting social processes on interconnected networks |
| title_short |
Interacting social processes on interconnected networks |
| title_full |
Interacting social processes on interconnected networks |
| title_fullStr |
Interacting social processes on interconnected networks |
| title_full_unstemmed |
Interacting social processes on interconnected networks |
| title_sort |
interacting social processes on interconnected networks |
| publishDate |
2016 |
| url |
http://sedici.unlp.edu.ar/handle/10915/85807 |
| work_keys_str_mv |
AT alvarezzuzeklucilag interactingsocialprocessesoninterconnectednetworks AT laroccacristiane interactingsocialprocessesoninterconnectednetworks AT vazquezfederico interactingsocialprocessesoninterconnectednetworks AT braunsteinlidiaa interactingsocialprocessesoninterconnectednetworks |
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Repositorios |
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1764820488916303873 |