17 research outputs found
Six final absorbing states for a 20 agents system, starting from same initial condition (but different confidence levels <i>Δ</i>, indicated at the upper-left corner of each panel).
<p>The initial opinions are shown in the upper-left panel of <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0164323#pone.0164323.g008" target="_blank">Fig 8</a>. The random initial network has the same number of positive and negative links, and we take <i>p</i> = 0.3. The numbers in each panel indicate the number of agents with the same opinion (the number of agents in an opinion cluster). The grey lines show the positive links between agents. In the absorbing states there are neither negative links between agents in an opinion cluster nor negative links between agents in a clique. In the cases with <i>Δ</i> = 0.4 and <i>Δ</i> = 1, there is consensus of opinions in each clique.</p
Typical (median) number of iterations <i>T</i><sub>typ</sub> -in time steps- to converge to a balanced configuration as a function of the number <i>N</i> of agents in the system for <i>p</i> = 0.1.
<p>The upper and lower curves correspond to the pure Antal (LTD) and the Constrained Triad Dynamics (CTD) models, respectively. The other three curves correspond to the BC-PF dynamics with <i>Δ</i> = 0, <i>Δ</i> = 0.1 and <i>Δ</i> = 0.2, respectively. Each point represents the median value of 1000 different runs departing from random initial conditions with equal proportion of positive and negative links.</p
Number of different opinions <i>N</i><sub>op</sub> in final balanced configurations as a function of the bounded confidence parameter <i>Δ</i> for 40 agents and <i>p</i> = 0.1.
<p>The grey curve corresponds to the BC model and the black curve to the BC-PF model. The curves represent the mean value of <i>N</i><sub>op</sub> in 8 simulations with random initial opinions. The initial links are also set at random with equal probability for friendship (+1) and for enmity (-1). The vertical bars indicate the maximum and minimum values of <i>N</i><sub>op</sub> in the 8 simulations.</p
Average of <i>D</i><sup>â</sup> in 100 runs as a function of parameters <i>Δ</i> and <i>p</i> for a system of 40 agents.
<p>Average of <i>D</i><sup>â</sup> in 100 runs as a function of parameters <i>Δ</i> and <i>p</i> for a system of 40 agents.</p
Distribution of size differences <i>S</i><sub>dif</sub> -in per cent points- between the two cliques in a system with <i>N</i> = 100, <i>p</i> = 0.3 and <i>Δ</i> = 0.2.
<p>Each colored vertical line represents the frequency of clique size differences for a different proportion of positive links <i>Ï</i><sub>0</sub> in the initial conditions, as indicated in the legend. The back curve represents the mean of the previous frequencies. We run 1000 simulations for each <i>Ï</i><sub>0</sub> value. Each vertical line represents the frequency in 2% bins and the different cases has been shifted each other to facilitate visualization.</p
Evolution of the fraction of blocks with positive flag clustering index.
<p>The continuous curve shows the evolution of the overall fraction of cases with <i>C</i><sub>obs</sub> > 0. For comparison the dashed curve shows the evolution of the total number of flags (right-hand Y axis).</p
Correlation between flags pro-referendum voters for two subsets of annual income level.
<p>Income level is attributed to each electoral district from an estimation at the quarter level. The average annual income in the sample is 19,750 Eu and the median is 0.89 of this average value (source: Barcelona economia 80, November 2012, Ajuntament de Barcelona). Blue, and black symbols correspond to electoral districts with income under and over the median value, respectively. The moving average uses subsets of 20 data points instead of 30 as in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0125085#pone.0125085.g002" target="_blank">Fig 2</a>.</p
Daily percentage of households with a flag as function of pro-referendum voters per elector.
<p>Same as <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0125085#pone.0125085.g002" target="_blank">Fig 2</a> but for the flags in the facades of the 82 blocks of the second study. The labels indicate the day of observation. The fraction of pro-referendum voters is assumed to be the same as in the electoral district to which the block belongs.</p
Clustering index for the facades in Fig 8.
<p>Clustering index for the facades in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0125085#pone.0125085.g008" target="_blank">Fig 8</a>.</p
Sample of 276 electoral districts observed in the city of Barcelona (in red).
<p>Thick lines indicate administrative district borders; thin lines indicate electoral district borders.</p