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Reducing Risk Misinformation and Miscommunication: A Sheaf-Theoretic Perspective.

Louis Anthony Cox1

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Summary
This summary is machine-generated.

Persistent misinformation challenges risk communication. Sheaf theory offers a systems design approach to improve belief integration and foster accurate, shared understanding for better decision-making.

Keywords:
distributed risk management decision‐makingmisinformationrisk communicationsheaf theorystructural incoherence

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Area of Science:

  • Mathematical modeling
  • Network science
  • Risk communication

Background:

  • Misinformation hinders risk communication and decision-making.
  • Existing models do not fully explain failures in achieving shared risk understanding.
  • Locally reasonable beliefs can fail to cohere globally.

Purpose of the Study:

  • To model belief communication, filtering, and interpretation across networks.
  • To apply sheaf theory for diagnosing and quantifying belief incoherence.
  • To propose system design strategies for improved risk communication.

Main Methods:

  • Utilizing sheaf theory to integrate local information into global structures.
  • Developing mathematical models of belief dynamics across social and institutional networks.
  • Conducting simulations to demonstrate the application of the framework.

Main Results:

  • Identified situations where local belief consistency fails global reconciliation.
  • Reframed issues like echo chambers and semantic ambiguity as system design flaws.
  • Demonstrated how sheaf theory can quantify belief integration challenges.

Conclusions:

  • Risk communication is a system design problem requiring engineered coherence, interoperability, and resilience.
  • Sheaf theory provides tools to address belief incoherence and improve risk communication.
  • Targeted interventions can enhance belief integration for better risk management.