Report #86 mechanism. Articulated by Maximus CEO Bruce Caswell: 'The major programs that underpin our businesses are entitlement programs in nature or programs that require mandatory spending.' Because federal contractors operating the citizen-disbursement interfaces for Medicare, Medicaid, Veterans Disability, and similar entitlement programs handle mandatory statutory obligations to 100M+ Americans, defunding the contractor directly disables the disbursement function. The federal government cannot terminate the contractor without halting benefit payments, which is politically and legally untenable. Empirical demonstration: Maximus absorbed only $4 million of the $61 billion in the Department of Government Efficiency (DOGE) de-obligations through May 2026. Engine framing: the hostage dynamic is the operative inverse of the e_doge_war (the Department of Government Efficiency (DOGE) War Failures) pattern — it identifies WHICH contractors are structurally protected from executive-branch austerity. The discretionary-vs-mandatory cleavage is the discriminating variable: discretionary research grants, foreign aid, NEH/EPA staff, and the Department of Defense (DoD) consulting are cuttable; entitlement-throughput operators are not. Sets the practical ceiling on any federal austerity campaign.