Coined Term • 2026
Nash Gap Boundary Condition
The exact monitoring level that makes attacking your AI position economically irrational
Status
Coined by Joseph Byrum
Year Introduced
2026
Domain
Entity Engineering
Term Type
Adversarial Framework
Corroboration
Understanding Nash Gap Boundary Condition
The Nash Gap Boundary Condition gives you the precise monitoring sensitivity target that makes your entity economically unattractive to attack. Size your monitoring to Ã_threshold – not to intuition. Below this threshold, a rational adversary with a finite budget cannot successfully displace your citation position without spending more than the attack is worth. The formula: P_min ÃÂ- r_cost / Budget_A.
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Frequently Asked Questions
What is the Nash Gap Boundary Condition?
The Nash Gap Boundary Condition gives you the precise monitoring sensitivity threshold (σ_threshold) below which a budget-constrained adversary cannot successfully displace your AI citation position without spending more than the attack is worth. Size your monitoring to this threshold — not to intuition.
How is the threshold calculated?
σ_threshold = P_min × r_cost / Budget_A — where P_min is the minimum attack payload required, r_cost is the attacker's per-unit signal cost, and Budget_A is the adversary's available budget. Below this threshold, attack is the dominated strategy; the rational adversary stands down.
Why does this matter for investment sizing?
Because it gives you a defensible number for monitoring investment rather than a judgment call. You don't need perfect monitoring — you need monitoring sensitive enough that the attack cost exceeds the adversary's realistic budget. The Nash Gap Boundary Condition tells you exactly where that line is.
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