马忠渝1程言欣1陈李燊1
廖启嘉1钱江海1,2
1.上海电力大学数理学院;2.华东师范大学软硬件协同设计技术与应用教育部工程研究中心
摘要: 为了从理论上寻找有效的反垄断策略，设计了一套基于适应度重排的节点准入规则并采用复杂网络理论研究了该规则对拓扑凝聚的影响。通过蒙特卡罗模拟和有限尺度效应分析，求得了一类典型适应度分布下的临界重排指数，建立了凝聚的相图。该相图表明：存在一个由临界重排指数构成的区间，在此区间之外凝聚会得到有效抑制；相图结构是非对称的，逆序临界重排指数具有非线性发散效应。这些结果可解释当前互联网垄断的成因并为相应的反垄断政策给出有价值的建议。
基金资助:华东师范大学软硬件协同设计技术与应用教育部工程研究中心开放研究基金（OP202102）![]()
Regulation of Network Condensation Based on Fitness Ordered AccessMA Zhongyu1，CHENG Yanxin1，CHEN Lisheng1，LIAO Qijia1，QIAN Jianghai1,21.College of Mathematics and Physics, Shanghai University of Electric Power;2.Engineering Research Center of Software/Hardware Co-design Technology and Application, Ministry of Education (East China Normal University)Abstract: To find theoretically an effective antitrust policy, we design an access rule for nodes based on the rearrangement of their fitness and study its effect on the topology condensation from the perspective of complex network theory. By Monte-Carlo simulations and the finite size scaling analysis, we obtain the critical rearrangement index for a typical class of fitness distribution and establish the condensation phase diagram. The phase diagram shows: there exists an interval of the critical rearrangement index, outside which the condensation will be effectively suppressed; the phase diagram is asymmetric in structure and the critical reverse-rearrangement index diverges in a nonlinear manner. These results can explain the present monopolistic behavior by internet firms and provide useful suggestion for the corresponding anti-monopoly policy. Keywords: fitness; condensation; monopoly; complex network作者介绍:
第一作者：马忠渝（1998-），新疆省乌鲁木齐人，硕士研究生，主要研究方向为复杂网络动力学。
通信作者：钱江海（1983-），上海人，博士，副教授，主要研究方向为复杂网络模型、渗流理论、复杂系统的涨落动力学、社会经济系统与统计物理的交叉学科研究。
马忠渝,程言欣,陈李燊,等.基于适应度有序准入策略的网络凝聚调控[DB/OL].(2023-05-11) .http://kns.cnki.net/kcms/detail/37.1402.N.20230510.1637.002.html.
