The Mathematics of Strategic Humility: Toward an Epistemology of Strategic Prudence.

This article develops a theoretical and epistemological reflection on the mechanisms through which international crises may intensify not only as a result of material transformations in the strategic system, but also through the way actors interpret uncertainty. The paper elaborates the analytical framework of \emph{intentional inflation}, a mechanism formalizing the tendency of observers to prematurely attribute expanded hostile intentions from ambiguous signals. By introducing a synthetic index of epistemic escalation, $R=\frac{\alpha L q}{1-q}$, the model identifies a critical threshold separating disciplined inference from a regime of self-reinforcing interpretive inflation. The purpose of the framework is not to predict conflict, but to diagnose the inferential conditions under which strategic interpretation becomes structurally unstable. Under certain informational configurations, hostile beliefs may intensify independently of material changes in the international system. Beyond its formal structure, the paper contributes to a broader reflection on the epistemological foundations of strategic analysis. It proposes what may be described as a \emph{mathematics of strategic humility}: an analytical discipline designed to make explicit the inferential assumptions that shape the interpretations of analysts and decision-makers. From this perspective, the search for peace cannot be reduced solely to questions of power balances or institutional arrangements. It also depends on the quality of the interpretive practices through which actors infer the intentions of others. When interpretation becomes disproportionate to available evidence, uncertainty itself may generate escalation dynamics. The framework can therefore be understood as a contribution to an \emph{epistemology of strategic prudence}. It suggests that the stability of international crises partly depends on the informational stability of the interpretive environments within which strategic actors operate. This document is presented as a companion essay to two related works: \emph{Intentional Inflation: A Theory of Strategic Inference and Epistemic Escalation}, which establishes the formal model and associated simulation framework. \emph{Le Grand Théâtre des Ambiguïtés}, which explores systematic errors of strategic anticipation in the contemporary international system. By combining formal modeling, international relations theory, and philosophical reflection on uncertainty, the article aims to contribute to a more disciplined understanding of escalation dynamics in international politics.