For Dynamic Games
For dynamic (extensive form) games, McKelvey and Palfrey defined agent quantal response equilibrium (AQRE). AQRE is somewhat analogous to subgame perfection. In an AQRE, each player plays with some error as in QRE. At a given decision node, the player determines the expected payoff of each action by treating their future self as an independent player with a known probability distribution over actions.
As in QRE, in a AQRE every strategy is used with nonzero probability. This provides an additional advantage of AQRE over perfectly rational solution concepts. Since every path is followed with some probability, there is no concern about defining beliefs "off the equilibrium path".
Read more about this topic: Quantal Response Equilibrium
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