Dynamic Epistemic Logic in Social Network Analysis
Summary
Dynamic epistemic logic (DEL) has emerged as a rigorous formalism for modelling the evolution of knowledge and belief among agents in social networks. By integrating modal operators for individual and common knowledge with action-based modalities representing communication events, observation or network changes, DEL captures how agents update their epistemic states in response to new information or structural adaptations. In these models, agents are depicted as nodes whose knowledge includes not only direct observations but also higher-order beliefs about others’ knowledge. This approach enables precise analysis of fundamental social processes such as opinion diffusion, consensus formation and the emergence of misinformation cascades under varying network topologies.
Beyond theoretical insight, DEL frameworks find application in viral marketing, where understanding peer influence and belief revision can optimise campaign targeting, and in cybersecurity, where protocol design benefits from formal guarantees of information privacy and resilience to adversarial manipulation. Extensions of DEL encompass threshold-based adoption rules, which formalise how agents embrace innovations when a critical mass of neighbours does so, and logics that jointly model feature diffusion and link dynamics. Through soundness and completeness results, these developments affirm DEL’s capacity to address the dynamic interplay between social structure and informational flow in real-world settings.
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Technical terms
Dynamic epistemic logic: A branch of modal logic that models how agents’ knowledge and beliefs are updated in response to information-changing events.
Threshold model: A diffusion paradigm in which an agent adopts a new opinion or behaviour once a specified fraction of its neighbours have adopted it.
Epistemic action: An event or communication act that alters the epistemic state of one or more agents by conveying information or making observations.
Gossip protocol: A distributed process whereby agents exchange secrets or information through pairwise or group communications formalised as epistemic updates.
Model checking: An automated technique for verifying whether a formal model of a system satisfies a given logical specification.
References
- Verification of Distributed Epistemic Gossip Protocols. Journal of Artificial Intelligence Research (2018).
- Dynamic Epistemic Logics of Diffusion and Prediction in Social Networks. Studia Logica (2018).
- Dynamic Logics of Diffusion and Link Changes on Social Networks. Studia Logica (2024).
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