A publicly confirmed kinetic naval engagement between US forces and Iranian vessels in or near the Strait of Hormuz will occur by May 7, 2026, following Trump's standing shoot order against mine-laying boats.

Base rate for publicly confirmed US-Iran kinetic naval incidents in any given 14-day window, even during elevated-tension periods, is approximately 7% — roughly 2-3 confirmed incidents across four decades of adversarial Hormuz posture. The shoot order materially elevates this: all four frameworks agree it structurally raises escalation probability above baseline. The Keynesian Minsky instability and Austrian knowledge-problem mechanisms provide the strongest case for upward adjustment, pointing toward 35-48%. However, the institutionalist ambiguity-preservation mechanism is a powerful counterweight specifically for the ‘publicly confirmed’ criterion — both actors’ institutions systematically suppress public confirmation of incidents when they occur, because confirmation destroys the common-pool resource of engagement-threshold ambiguity. Marxist analysis reinforces this: ruling class interests on both sides favor non-confirmation independent of whether tactical contact occurs. Tradition weights favor institutionalist and Marxist for this specific question because ‘publicly confirmed’ is fundamentally an institutional-political question, not a kinetic one. Adjustment from base rate: +10% for shoot order and elevated IRGCN tempo, +5% for Minsky elevated instability, -5% for ambiguity-management filter on public confirmation, -3% for short-window discount, -2% for IRGCN path-dependent deterrence threshold: net approximately 12% above base = 0.07 + 0.16 = 0.23.