STRUCTURAL INSULATORS AND PROMOTORS IN NETWORKS UNDER GENERIC PROBLEM-SOLVING DYNAMICS

IF 0.7 4区 数学 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Advances in Complex Systems Pub Date : 2024-03-08 DOI:10.1142/s0219525923500121
JOHANNES FALK, EDWIN EICHLER, KATJA WINDT, MARC-THORSTEN HÜTT
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Abstract

The collective coordination of distributed tasks in a complex system can be represented as decision dynamics on a graph. This abstract representation allows studying the performance of local decision heuristics as a function of task complexity and network architecture. Here, we identify hard-to-solve and easy-to-solve networks in a social differentiation task within the basic model of small-world graphs. We show that, depending on the details of the decision heuristic as well as the length of the added links, shortcuts can serve as structural promotors, which speed up convergence toward a solution, but also as structural insulators, which make the network more difficult to solve. Our findings have implications for situations where, in distributed decision systems, regional solutions emerge, which are globally incompatible as, for example, during the emergence of technological standards.

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一般问题解决动力学条件下网络中的结构绝缘体和促进因子
复杂系统中分布式任务的集体协调可表示为图形上的决策动态。通过这种抽象的表示方法,可以研究局部决策启发式方法的性能与任务复杂性和网络结构的函数关系。在这里,我们在小世界图的基本模型中识别了社会分化任务中的难解网络和易解网络。我们的研究表明,根据决策启发式的细节以及添加链接的长度,捷径既可以作为结构促进因素,加速向解决方案的收敛,也可以作为结构绝缘体,使网络更难解决。我们的发现对分布式决策系统中出现的区域性解决方案具有启示意义,这些解决方案在全球范围内是不兼容的,例如在技术标准出现的过程中。
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来源期刊
Advances in Complex Systems
Advances in Complex Systems 综合性期刊-数学跨学科应用
CiteScore
1.40
自引率
0.00%
发文量
121
审稿时长
6-12 weeks
期刊介绍: Advances in Complex Systems aims to provide a unique medium of communication for multidisciplinary approaches, either empirical or theoretical, to the study of complex systems. The latter are seen as systems comprised of multiple interacting components, or agents. Nonlinear feedback processes, stochastic influences, specific conditions for the supply of energy, matter, or information may lead to the emergence of new system qualities on the macroscopic scale that cannot be reduced to the dynamics of the agents. Quantitative approaches to the dynamics of complex systems have to consider a broad range of concepts, from analytical tools, statistical methods and computer simulations to distributed problem solving, learning and adaptation. This is an interdisciplinary enterprise.
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