Stability definitions for 2-player conflict models with uncertain preferences

Four types of solution concepts for modeling human behavior under conflict are defined to accommodate uncertainty in preferences. For a given decision-maker participating in a conflict the preference structure includes components to handle strict preference of one state over another, equal preference between states, and uncertainty or unknown preference when comparing two states or scenarios. Four distinct ways to incorporate uncertain preference information into the four types of solution concepts are considered and the "sustainable development game" is used to illustrate how the new solution concepts can be applied in practice and strategic insights that can be garnered.