The formal literature on international conflict has identified the combination of uncertainty and the incentive to misrepresent private information as a central cause of war. But there is a fundamental problem with using game-theoretic models to formulate general claims such as these—whether and to what extent a result that holds in a particular choice of game form continues to hold when different modeling choices are made is typically unknown. To address this concern, we present techniques from Bayesian mechanism design that allow us to establish general “game-free ” results that must hold in any equilibrium of any game form in a broad class of crisis bargaining games. We focus on three different varieties of uncertainty that countries can...