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Extensive Games of Imperfect Recall and Mind Perfection

In this paper we examine how the addition of imperfect recall as a perturbation to a perfect recall game can be used as an equilibrium refinement. We discuss the properties of two such concepts, from the addition of complete confusion between similar histories to considering small ‘trembles’ in a players beliefs. Central to our discussion is the notion of which decisions can reasonably be confused and we suggest that modelling informational confusion may be a useful way of measuring strategic complexity.