Coping with stress through ‘decisional control’ – positioning oneself in a multifaceted stressing situation so as to minimize the likelihood of an untoward event – is modelled within a tree-structure scenario, whose architecture hierarchically nests elements of varying threat. Analytic and simulation platforms quantify the game-like interplay of cognitive demands and threat reduction. When elements of uncertainty enter the theoretical structure, specifically at more subordinate levels of the hierarchy, the mathematical expectation of threat is particularly exacerbated. As quantified in this model, the exercise of decisional control is demonstrably related to reduction in expected threat (the minimum correlation across comprehensive parameter settings being .55). Disclosure of otherwise intractable stress-coping subtleties, endowed by the quantitative translation of verbal premises, is underscored. Formalization of decisional stress control is seen to usher in linkages to augmenting formal developments from fields of cognitive science, preference and choice modelling, and nonlinear dynamical systems theory. Model-prescribed empirical consequences are stipulated.