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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2016-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC5045172?pdf=render |
| _version_ | 1818217622828744704 |
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| author | Lucila G Alvarez-Zuzek Cristian E La Rocca Federico Vazquez Lidia A Braunstein |
| author_facet | Lucila G Alvarez-Zuzek Cristian E La Rocca Federico Vazquez Lidia A Braunstein |
| author_sort | Lucila G Alvarez-Zuzek |
| collection | DOAJ |
| 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*(β), while a negative consensus happens for r < r*(β). In the r - β phase space, the system displays a transition at a critical threshold βc, from a coexistence of both orientations for β < βc to a dominance of one orientation for β > βc. 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*, β*). |
| first_indexed | 2024-12-12T07:10:48Z |
| format | Article |
| id | doaj.art-14f7d3305f174d52873bba10cb47f1b6 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-12T07:10:48Z |
| publishDate | 2016-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-14f7d3305f174d52873bba10cb47f1b62022-12-22T00:33:37ZengPublic Library of Science (PLoS)PLoS ONE1932-62032016-01-01119e016359310.1371/journal.pone.0163593Interacting Social Processes on Interconnected Networks.Lucila G Alvarez-ZuzekCristian E La RoccaFederico VazquezLidia A BraunsteinWe 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*(β), while a negative consensus happens for r < r*(β). In the r - β phase space, the system displays a transition at a critical threshold βc, from a coexistence of both orientations for β < βc to a dominance of one orientation for β > βc. 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*, β*).http://europepmc.org/articles/PMC5045172?pdf=render |
| spellingShingle | Lucila G Alvarez-Zuzek Cristian E La Rocca Federico Vazquez Lidia A Braunstein Interacting Social Processes on Interconnected Networks. PLoS ONE |
| title | 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_short | Interacting Social Processes on Interconnected Networks. |
| title_sort | interacting social processes on interconnected networks |
| url | http://europepmc.org/articles/PMC5045172?pdf=render |
| work_keys_str_mv | AT lucilagalvarezzuzek interactingsocialprocessesoninterconnectednetworks AT cristianelarocca interactingsocialprocessesoninterconnectednetworks AT federicovazquez interactingsocialprocessesoninterconnectednetworks AT lidiaabraunstein interactingsocialprocessesoninterconnectednetworks |