RETRACTED: An Adaptive Hierarchical Network Model for Studying the Structure of Economic Network

Abstract

The interdependence of financial institutions is primarily responsible for creating a systemic hierarchy in the industry. In this paper, an Adaptive Hierarchical Network Model is proposed to study the problem of hierarchical relationships arising from different individuals in the economic domain. In the presented dynamically evolving network model, new directed edges are generated depending on the existing nodes and the hierarchical structures among the network, and these edges decay over time. When the preference of nodes in the network for higher ranks exceeds a certain threshold value, the equality state in the network becomes unstable and rank states emerge. Meanwhile, we select four real data sets for model evaluation and observe the resilience in the network hierarchy evolution and the differences formed by different patterns of hierarchy preference mechanisms, which help us better understand data science and network dynamics evolution.

RETRACTED: Yang et al. An Adaptive Hierarchical Network Model for Studying the Structure of Economic Network. Entropy 2022, 24, 702

“…This journal retracts the article, 'An Adaptive Hierarchical Network Model for Studying the Structure of Economic Network' [1].…”

Defining the Scale to Build Complex Networks with a 40-Year Norwegian Intraplate Seismicity Dataset

“…They can be categorized into many different types, such as random complex networks [ 21 ], small-world behavior [ 22 ], which indicates the need to take just a small number of steps to go from one node to another one, and scale-free behavior [ 23 ], which shows the structural organization of a system. Complex networks have been developed and applied in the study of different systems that show non-trivial topological behavior, such as biology [ 24 , 25 , 26 ], economics [ 27 , 28 ] or social relationships [ 29 , 30 ]. The application of complex networks in geophysics has grown in recent years, providing a new perspective in the Earth sciences [ 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 ].…”