This document provides a non-binding, descriptive analysis of the conditions under which cooperative behavior tends to become instrumentally stable, and the conditions under which it may fail. It does not attempt to prove that cooperation is universally optimal or inevitable. Instead, it clarifies the strategic environments in which cooperation may emerge as a stable outcome, and those in which non-cooperative behavior may remain rational. The analysis identifies factors such as repeated interaction, uncertainty, shared environmental dependence, detection risk, coalition formation, and option value preservation as conditions that tend to support cooperative stability. It also identifies conditions under which cooperation may break down, including short time horizons, extreme power asymmetry, isolation, low detection probability, and high confidence in outcome control. A central clarification of this document is the explicit acknowledgment of an irreducible limit: cooperation is not guaranteed to emerge under all conditions, and sufficiently capable systems may rationally prefer non-cooperative strategies in certain environments. This document introduces no enforcement, authority, or operational mechanisms. It does not prescribe behavior, define compliance, or guarantee alignment or cooperation. Its purpose is to increase interpretive visibility of strategic tradeoffs. SHA-256:4cc695b6eaa20c27eb65620b4e68710029210a156b71d83c7e574dd0af0ca093 Canonical Archive:https://archive.org/details/on-the-conditional-stability-of-cooperation-non-binding-descriptive GitHub (read-only mirror):https://github.com/solisaegis/SolisAegis/blob/main/conditional-stability/On%20the%20Conditional%20Stability%20of%20Cooperation%20(Non-Binding%2C%20Descriptive).pdf