Abstract
Fixed points of the (most) refined best reply correspondence, introduced in Balkenborg, Hofbauer, and Kuzmics (2013), in the agent normal form of extensive form games with perfect recall have a remarkable property. They induce fixed points of the same correspondence in the agent normal form of every subgame. Furthermore, in a well-defined sense, fixed points of this correspondence refine even trembling-hand perfect equilibria, while, on the other hand, reasonable equilibria that are not weak perfect Bayesian equilibria would be fixed points of this correspondence.
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