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arXiv 0907.2167physics.soc-phcond-mat.stat-mech
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集体动力与个体动力之间的竞争

Competition between collective and individual dynamics

Sébastian Grauwin, Eric Bertin, Rémi Lemoy, Pablo Jensen

摘要:

将微观和宏观行为联系起来是许多自然科学和社会科学的核心。这种表面上的相似性掩盖了不同学科之间的本质差异:物理粒子被认为是优化全球能量的,而经济主体则是最大化自己的效用。在这里,我们完全解决了一个Schelling隔离模型,该模型在合作和个人动态之间不断插值。我们发现,增加合作的程度会导致从一个隔离阶段的低效用向混合阶段的高效用的质的转变。通过引入一个简单的功能,连接个人和全球水平,我们铺平了道路,一个严格的方法的广泛的系统,其中动态是由个人的战略。

英文摘要:

Linking the microscopic and macroscopic behavior is at the heart of many natural and social sciences. This apparent similarity conceals essential differences across disciplines: while physical particles are assumed to optimize the global energy, economic agents maximize their own utility. Here, we solve exactly a Schelling-like segregation model, which interpolates continuously between cooperative and individual dynamics. We show that increasing the degree of cooperativity induces a qualitative transition from a segregated phase of low utility towards a mixed phase of high utility. By introducing a simple function which links the individual and global levels, we pave the way to a rigorous approach of a wide class of systems, where dynamics is governed by individual strategies.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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