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首页> 外文期刊>Physical review, E >Infrequent social interaction can accelerate the spread of a persuasive idea
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Infrequent social interaction can accelerate the spread of a persuasive idea

机译：不常见的社交互动可以加速有说服力的想法的传播

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摘要

We study the spread of a persuasive new idea through a population of continuous- time random walkers in one dimension. The idea spreads via social gatherings involving groups of nearby walkers who act according to a biased "majority rule": After each gathering, the group takes on the new idea if more than a critical fraction 1-epsilon/2 < 1/2 of them already hold it; otherwise they all reject it. The boundary of a domain where the new idea has taken hold expands as a traveling wave in the density of new idea holders. Our walkers move by Levy motion, and we compute the wave velocity analytically as a function of the frequency of social gatherings and the exponent of the jump distribution. When this distribution is sufficiently heavy tailed, then, counter to intuition, the idea can propagate faster if social gatherings are held less frequently. When jumps are truncated, a critical gathering frequency can emerge which maximizes propagation velocity. We explore our model by simulation, confirming our analytical results.
机译：我们在一个维度中通过连续时间随机步行者的群体研究了一个有说服力的新想法。通过涉及根据偏见的“多数规则”的附近步行者团体的社交聚会传播：在每次收集后，如果超过他们的关键部分1-epsilon / 2 <1/2，本集团将接受新想法已经持有它;否则他们都拒绝了它。新想法已经持有的域的边界将作为新想法持有者密度的行驶波扩展。我们的步行者通过征收运动来移动，我们将波速分析为社交聚会频率和跳跃分布的指数的函数来计算。当这种分布足够大的尾尾，然后，反击直觉时，如果社交聚会较不频繁地持有，则该想法可以更快地传播。当跳闸被截断时，可以出现临界收集频率，从而最大化传播速度。我们通过模拟探索我们的模型，确认了我们的分析结果。

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