Strategie equivalence and bounded rationality in extensive form games

In a large family of solution concepts for boundedly rational players - allowing players to be imperfect optimizers, but requiring that better responses are chosen with probabilities at least as high as those of worse responses - most of Thompson's inessential transformations for the strategic equivalence of extensive form games become far from inconsequential. Only two of the usual elementary transformations remain truly inessential: the interchange of moves, and replacing a final move by nature by simply taking expected payoffs.