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。
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 that 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.
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