[Paper Review] On the effectiveness of the truth-spreading/rumor-blocking strategy for restraining rumors

Lu‐Xing Yang, Tianrui Zhang+3 more|arXiv (Cornell University)|May 28, 2017

Complex Network Analysis Techniques33 references3 citations

TL;DR

This paper proposes a continuous-time individual-level URQT model to assess the effectiveness of the truth-spreading/rumor-blocking (TSRB) strategy in suppressing rumors on complex networks. By analyzing the generic URQT model and its simplified linear variant, the study derives rigorous criteria for rumor extinction based on network structure and transmission parameters, demonstrating that the TSRB strategy can effectively contain rumors when key thresholds are met.

ABSTRACT

Spreading truths and blocking rumors are two typical strategies for inhibiting rumors. In practice, a tradeoff between the two strategies, which is known as the TSRB strategy, may achieve a better cost-effectiveness. This paper is devoted to assessing the effectiveness of the TSRB strategy. For that purpose, an individual-level spreading model (the generic URQT model) capturing the interaction between a rumor and the truth is established. Under the model, a set of criteria for the dying out of a rumor is presented. These criteria capture the combined influence of the basic parameters and the network structures on the effectiveness of the TSRB strategy. Experimental results show that, when the rumor dies out, the dynamics of a simplified URQT model (the linear URQT model) fits well with the actual rumor-truth interacting process. Therefore, the generic URQT model and sometimes the linear URQT model provide a proper basis for assessing the effectiveness of the TSRB strategy.

Motivation & Objective

• To assess the effectiveness of the truth-spreading/rumor-blocking (TSRB) strategy in suppressing rumors on online social networks.
• To develop a continuous-time individual-level model capturing the dynamic interaction between rumors and truths.
• To identify precise conditions under which a rumor dies out, considering both network topology and transmission parameters.
• To validate the model's accuracy by comparing its dynamics to real-world rumor-truth interactions.
• To provide a theoretical foundation for designing cost-effective rumor containment strategies.

Proposed method

• Develops the generic URQT model as a continuous-time individual-level dynamical system to represent rumor and truth propagation on complex networks.
• Introduces the linear URQT model as a simplified variant for tractable analysis and simulation.
• Applies qualitative analysis of dynamical systems to derive sufficient conditions for rumor extinction based on the spectral properties of system matrices.
• Uses comparison systems and Lyapunov-type arguments to establish global asymptotic stability of the rumor-free equilibrium.
• Employs matrix theory, including Metzler and Hurwitz stability, to analyze the system's long-term behavior.
• Conducts simulation experiments to compare the linear URQT model's dynamics with actual rumor-truth interaction processes.

Experimental results

Research questions

• RQ1 Under what conditions does a rumor die out in a network when both truth-spreading and rumor-blocking strategies are applied?
• RQ2 How do network structure and transmission parameters jointly influence the effectiveness of the TSRB strategy?
• RQ3 To what extent does the linear URQT model accurately reflect real-world rumor-truth interaction dynamics?
• RQ4 What mathematical criteria can guarantee the global asymptotic stability of the rumor-free equilibrium in the URQT model?
• RQ5 How does the tradeoff between truth-spreading and rumor-blocking affect the overall cost-effectiveness of rumor containment?

Key findings

• The rumor dies out if the spectral radius of a derived matrix related to transmission rates and network structure is less than one, providing a precise threshold condition.
• The linear URQT model accurately captures the dynamics of real-world rumor-truth interactions when the rumor is in the process of dying out.
• The generic URQT model provides a theoretically sound basis for analyzing the effectiveness of the TSRB strategy under general network conditions.
• The model demonstrates that both the network topology and the balance between truth-spreading and rumor-blocking rates are critical in determining rumor persistence.
• Sufficient conditions for rumor extinction are derived using matrix stability theory, particularly focusing on Metzler and Hurwitz properties of system matrices.
• Simulation results confirm that the linear URQT model's behavior closely matches empirical dynamics, validating its use for practical assessment of the TSRB strategy.