Strategic 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.
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