 In various scenarios, agents reason not only about the opponents’ preferences or admissible moves, but also about their beliefs about the game and others’ behavior therein. In fact, such higher-order reasoning can have a major impact on game play. A prime example is the Backward Induction procedure of  Section 3.3,  where the construction of a best move relation crucially relied on common knowledge of rationality. More generally, agent’s best moves frequently depend upon what they expect others to do. This phenomenon is especially prominent for simultaneous move games, where it occurs in both coordinative scenarios (Skyrms 2003; Lewis 2002) as well as competitive ones (Hotelling 1929). More details can be found in the entry on  epistemic game theory.