Defense Strategies for Asymmetric Networked Systems with Discrete Components.

Area of Science:

• Cybersecurity and Infrastructure Resilience
• Game Theory and Operations Research
• Network Science and System Reliability

Background:

• Modern infrastructures rely on interconnected systems vulnerable to cyber and physical attacks.
• Network connectivity is critical yet asymmetric, posing unique defense challenges.
• Component reinforcement is essential for withstanding diverse attack vectors.

Purpose of the Study:

• To develop a game-theoretic framework for optimizing infrastructure defense strategies.
• To analyze the interplay between attacker's actions and provider's reinforcement efforts.
• To derive conditions for Nash equilibrium in infrastructure security games.

Main Methods:

• Formulating infrastructure protection as a two-player game (attacker vs. provider).
• Utilizing sum-form, product-form, and composite utility functions to model costs and benefits.
• Characterizing infrastructure correlations using aggregate failure functions and differential conditions.
• Deriving Nash equilibrium conditions for system survival probabilities and infrastructure capacity.

Main Results:

• Expressions for individual system survival probabilities at Nash equilibrium.
• Quantification of expected infrastructure capacity based on operational components.
• Analysis of defense strategies for distributed cloud computing infrastructures.
• Two-level characterization of infrastructure correlations (aggregate and component-level).

Conclusions:

• The game-theoretic model provides a robust method for analyzing and enhancing infrastructure security.
• Derived Nash equilibrium conditions offer practical insights for resource allocation in defense.
• The study's findings are applicable to real-world cyber-physical defense strategies, particularly in cloud computing environments.