Madman's a bit different "this player is willing to do things that will actually fuck him up" think maybe OK's looking for Mixed Strategy Nash?https://en.wikipedia.org/wiki/Strategy_(game_theory)#Mixed_strategy …
yeah that's where game theory gets tricky when multiple equilibria exist, you have to refine conditions for equilibrium to make predictions about which will actually be played theory papers frequently contribute novel equilibrium conditions of varying practical utility