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Sabiha Unal Eyi1, Jun Zhuang1

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Summary
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Balancing physical security and mental health programs is key for school safety. Optimal investment strategies require considering both approaches for lasting protection against violence.

Keywords:
game theorymental health interventionsphysical securityresource allocationschool safetystrategic optimization

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Area of Science:

  • Public Health
  • Game Theory
  • Security Studies

Background:

  • School security is a major concern due to rising violence.
  • Effective strategies require balancing physical security and mental health support.

Purpose of the Study:

  • Develop a game-theoretic model for school security investment.
  • Identify optimal allocation between physical security and mental health programs.

Main Methods:

  • Game-theoretic framework modeling defender-attacker interactions.
  • Numerical simulations using U.S. school shooting data.
  • Sensitivity and scenario analyses to test strategy robustness.

Main Results:

  • Physical security measures provide the strongest immediate deterrence.
  • Sustained protection necessitates balanced investment in both security and mental health.
  • Effectiveness thresholds for interventions significantly influence optimal strategies.

Conclusions:

  • A dual-approach strategy, integrating physical security and mental health, is crucial for comprehensive school safety.
  • The model provides a framework for evidence-based decision-making in educational institutions.
  • Future research should explore dynamic investments and external threat modeling.