講座主題

Robust Centrality

主講人

趙玮 中國人民大學

講座時間

2024年11月13日周三14:00

講座地點

韦德体育bevictor學院南路校區學術會堂712

主持人

尹訓東 韦德体育bevictor

嘉賓簡介

趙玮，中國人民大學經濟學院講師。巴黎高等商學院經濟系博士。研究興趣為博弈論、微觀經濟理論等；論文發表在Theoretical Economics, Games and Economic Behavior和International Economic Review等頂尖學術期刊。

講座内容簡介

This paper introduces a centrality measure called robust centrality, which addresses the limitations of Katz centrality in terms of its sensitivity to the attenuation factor and its restrictive range of applicability. Robust centrality generates a partial order on the nodes of a network based on the aggregate number of neighbors at various distances. It constitutes the intersection of all total orders induced by diffusion centralities and is invariant to the choice of attenuation factors. We establish the relationship between robust centrality and other well-known centrality measures, showing that it lies strictly between the intersection of all total orders generated by Katz centralities and the weak centrality proposed by Sadler (2022). We propose an algorithm that terminates in an explicitly given finite number of steps to determine robust centrality rankings. Finally, we introduce a network order based on robust centrality and show that any network is dominated by some Nested Split Graphs under this order.

撰稿：趙玮

審稿：袁淳、汪雄劍、尹訓東

編輯：沈嘉怡

審核：王穎