This paper interprets institutional stability through the admissibility framework of the Paton System. Institutions are typically analysed through political, sociological, or economic models that describe their structures and behaviours. The admissibility interpretation recognises that institutional continuation depends on compatibility among governing constraints such as legal rules, operational structures, resource flows, and behavioural expectations. Institutional stability therefore emerges when these constraints remain mutually compatible, allowing the institution to persist as a coherent system. Collapse or instability occurs when constraint incompatibilities accumulate beyond the system’s tolerance limits. This framework connects institutional persistence with the broader constraint-compatibility principles that govern stability across physical, mathematical, and computational systems within the Paton System.