Consequential irrelevance in a single play does not establish strategic irrelevance: Selten's (1975) trembling-hand perfection requires strategies to be best responses even against small perturbations that reach off-path nodes.
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A situation where something doesn't matter for determining the best long-term plan or approach to winning.
Trembling-hand perfection(as the main concept in the statement)
A solution concept in game theory that tests whether a strategy remains a good choice even if players occasionally make small mistakes or random errors.
best response(Implicit in the definition of strict domination)
A strategy s_i is a best response with respect to a probability measure p over opponent strategies if it maximizes the player's expected utility given p.