A fugitive with incomplete knowledge of the pursuer's rationality level cannot treat the game as having a well-defined mixed-strategy Nash equilibrium, undermining the die-roll prescription.

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Die-roll prescription(as used in game strategy): A recommendation to make a decision by random chance (like rolling dice), typically because it's the best strategy in an uncertain situation.
Game theory(mathematics and philosophy): The mathematical study of strategic interactions where each person's outcome depends not just on their own choices, but on what other people choose to do.
Mixed-strategy Nash equilibrium(as used in game theory): A balance point in a game where players randomly choose between different actions according to specific probabilities, rather than always picking the same move.
Nash equilibrium(Applied here to the pair of uniform randomizing strategies in the fugitive-pursuer bridge game.): A combination of strategies in which neither player can improve their expected outcome by unilaterally deviating, given the other player's strategy.
Rationality (in game theory)(as used in strategic analysis): The assumption that a player will make logical decisions aimed at achieving the best possible outcome for themselves, given what they know.
knowledge(Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.): Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.

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